Sabidussi, Gert
Overview
Works:  32 works in 173 publications in 3 languages and 2,232 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other, Honoree 
Classifications:  QA164, 511.6 
Publication Timeline
.
Most widely held works by
Gert Sabidussi
Theory and practice of combinatorics : a collection of articles honoring Anton Kotzig on the occasion of his sixtieth birthday by
J Turgeon(
Book
)
15 editions published in 1982 in English and held by 278 WorldCat member libraries worldwide
Theory and Practice of Combinatorics
15 editions published in 1982 in English and held by 278 WorldCat member libraries worldwide
Theory and Practice of Combinatorics
Cycles and rays by
Geňa Hahn(
Book
)
11 editions published in 1990 in English and held by 153 WorldCat member libraries worldwide
What is the "archetypal" image that comes to mind when one thinks of an infinite graph? What with a finite graph  when it is thought of as opposed to an infinite one? What structural elements are typical for either  by their presence or absence  yet provide a common ground for both? In planning the workshop on "Cycles and Rays" it had been intended from the outset to bring infinite graphs to the fore as much as possible. There never had been a graph theoretical meeting in which infinite graphs were more than "also rans", let alone one in which they were a central theme. In part, this is a matter of fashion, inasmuch as they are perceived as not readily lending themselves to applications, in part it is a matter of psychology stemming from the insecurity that many graph theorists feel in the face of set theory  on which infinite graph theory relies to a considerable extent. The result is that by and large, infinite graph theorists know what is happening in finite graphs but not conversely. Lack of knowledge about infinite graph theory can also be found in authoritative l sources. For example, a recent edition (1987) of a major mathematical encyclopaedia proposes to ". . . restrict [itself] to finite graphs, since only they give a typical theory". If anything, the reverse is true, and needless to say, the graph theoretical world knows better. One may wonder, however, by how much
11 editions published in 1990 in English and held by 153 WorldCat member libraries worldwide
What is the "archetypal" image that comes to mind when one thinks of an infinite graph? What with a finite graph  when it is thought of as opposed to an infinite one? What structural elements are typical for either  by their presence or absence  yet provide a common ground for both? In planning the workshop on "Cycles and Rays" it had been intended from the outset to bring infinite graphs to the fore as much as possible. There never had been a graph theoretical meeting in which infinite graphs were more than "also rans", let alone one in which they were a central theme. In part, this is a matter of fashion, inasmuch as they are perceived as not readily lending themselves to applications, in part it is a matter of psychology stemming from the insecurity that many graph theorists feel in the face of set theory  on which infinite graph theory relies to a considerable extent. The result is that by and large, infinite graph theorists know what is happening in finite graphs but not conversely. Lack of knowledge about infinite graph theory can also be found in authoritative l sources. For example, a recent edition (1987) of a major mathematical encyclopaedia proposes to ". . . restrict [itself] to finite graphs, since only they give a typical theory". If anything, the reverse is true, and needless to say, the graph theoretical world knows better. One may wonder, however, by how much
Integrable systems : from classical to quantum : proceedings of the 38th session of the seminaire de mathématiques supérieures,
July 26August 6, 1999 Montréal, Québec, Canada by Séminaire de mathématiques supérieures(
Book
)
6 editions published in 2000 in English and held by 137 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 137 WorldCat member libraries worldwide
Algebras and orders by
I. G Rosenberg(
Book
)
16 editions published between 1991 and 2011 in English and held by 119 WorldCat member libraries worldwide
The book consists of the lectures presented at the NATO ASI on `Algebras and Orders' held in 1991 at the Université de Montréal. The lectures cover a broad spectrum of topics in universal algebra, Boolean algebras, lattices and orders, and their links with graphs, relations, topology and theoretical computer science. More specifically, the contributions deal with the following topics: Abstract clone theory (W. Taylor); Hyperidentities and hypervarieties (D. Schweigert); Arithmetical algebras and varieties (A. Pixley); Boolean algebras with operators (B. Jonsson); Algebraic duality (B. Davey); Modeltheoretic aspects of partial algebras (P. Burmeister); Free lattices (R. Freese); Algebraic ordered sets (M. Erné); Diagrams of orders (I. Rival); Essentially minimal groupoids (H. Machida, I.G. Rosenberg); and Formalization of predicate calculus (I. Fleischer). Most of the papers are uptodate surveys written by leading researchers, or topics that are either new or have witnessed recent substantial progress. In most cases, the surveys are the first available in the literature. The book is accessible to graduate students and researchers
16 editions published between 1991 and 2011 in English and held by 119 WorldCat member libraries worldwide
The book consists of the lectures presented at the NATO ASI on `Algebras and Orders' held in 1991 at the Université de Montréal. The lectures cover a broad spectrum of topics in universal algebra, Boolean algebras, lattices and orders, and their links with graphs, relations, topology and theoretical computer science. More specifically, the contributions deal with the following topics: Abstract clone theory (W. Taylor); Hyperidentities and hypervarieties (D. Schweigert); Arithmetical algebras and varieties (A. Pixley); Boolean algebras with operators (B. Jonsson); Algebraic duality (B. Davey); Modeltheoretic aspects of partial algebras (P. Burmeister); Free lattices (R. Freese); Algebraic ordered sets (M. Erné); Diagrams of orders (I. Rival); Essentially minimal groupoids (H. Machida, I.G. Rosenberg); and Formalization of predicate calculus (I. Fleischer). Most of the papers are uptodate surveys written by leading researchers, or topics that are either new or have witnessed recent substantial progress. In most cases, the surveys are the first available in the literature. The book is accessible to graduate students and researchers
Gauge theory and symplectic geometry by
Jacques Hurtubise(
Book
)
8 editions published in 1997 in English and held by 115 WorldCat member libraries worldwide
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of SeibergWitten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to SeibergWitten theory, to applications of the SW theory to fourdimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudoholomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, MorseFloer theory; pseudoconvexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory
8 editions published in 1997 in English and held by 115 WorldCat member libraries worldwide
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of SeibergWitten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to SeibergWitten theory, to applications of the SW theory to fourdimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudoholomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, MorseFloer theory; pseudoconvexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory
Complex potential theory by
Paul M Gauthier(
Book
)
12 editions published between 1994 and 2012 in English and held by 112 WorldCat member libraries worldwide
In Complex Potential Theory, specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics are discussed: Real and complex potential theory. Capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study theory growth, Green functions, Chebyshevlike quadratures, electrostatic fields and potentials, propagation of smallness. Complex dynamics. Review of complex dynamics in one variable, Julia sets, Fatou sets, background in several variables, Hnon maps, ergodicity use of potential theory and multifunctions. Banach algebras and infinite dimensional holomorphy. Analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space
12 editions published between 1994 and 2012 in English and held by 112 WorldCat member libraries worldwide
In Complex Potential Theory, specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics are discussed: Real and complex potential theory. Capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study theory growth, Green functions, Chebyshevlike quadratures, electrostatic fields and potentials, propagation of smallness. Complex dynamics. Review of complex dynamics in one variable, Julia sets, Fatou sets, background in several variables, Hnon maps, ergodicity use of potential theory and multifunctions. Banach algebras and infinite dimensional holomorphy. Analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space
Nonlinear analysis, differential equations, and control by
Frank H Clarke(
Book
)
11 editions published in 1999 in English and held by 111 WorldCat member libraries worldwide
This book summarizes very recent developments  both applied and theoretical  in nonlinear and nonsmooth mathematics. The topics range from the highly theoretical (e.g. infinitesimal nonsmooth calculus) to the very applied (e.g. stabilization techniques in control systems, stochastic control, nonlinear feedback design, nonsmooth optimization). The contributions, all of which are written by renowned practitioners in the area, are lucid and self contained. <br/> Audience: Firstyear graduates and workers in allied fields who require an introduction to nonlinear theory, especially those working on control theory and optimization
11 editions published in 1999 in English and held by 111 WorldCat member libraries worldwide
This book summarizes very recent developments  both applied and theoretical  in nonlinear and nonsmooth mathematics. The topics range from the highly theoretical (e.g. infinitesimal nonsmooth calculus) to the very applied (e.g. stabilization techniques in control systems, stochastic control, nonlinear feedback design, nonsmooth optimization). The contributions, all of which are written by renowned practitioners in the area, are lucid and self contained. <br/> Audience: Firstyear graduates and workers in allied fields who require an introduction to nonlinear theory, especially those working on control theory and optimization
Graph symmetry : algebraic methods and applications by
Geňa Hahn(
Book
)
13 editions published between 1997 and 2011 in English and Spanish and held by 109 WorldCat member libraries worldwide
The last decade has seen parallel developments in computer science and combinatorics, both dealing with networks having strong symmetry properties. Both developments are centred on Cayley graphs: in the design of large interconnection networks, Cayley graphs arise as one of the most frequently used models; on the mathematical side, they play a central role as the prototypes of vertextransitive graphs. The surveys published here provide an account of these developments, with a strong emphasis on the fruitful interplay of methods from group theory and graph theory that characterises the subject. Topics covered include: combinatorial properties of various hierarchical families of Cayley graphs (fault tolerance, diameter, routing, forwarding indices, etc.); Laplace eigenvalues of graphs and their relations to forwarding problems, isoperimetric properties, partition problems, and random walks on graphs; vertextransitive graphs of small orders and of orders having few prime factors; distance transitive graphs; isomorphism problems for Cayley graphs of cyclic groups; infinite vertextransitive graphs (the random graph and generalisations, actions of the automorphisms on ray ends, relations to the growth rate of the graph)
13 editions published between 1997 and 2011 in English and Spanish and held by 109 WorldCat member libraries worldwide
The last decade has seen parallel developments in computer science and combinatorics, both dealing with networks having strong symmetry properties. Both developments are centred on Cayley graphs: in the design of large interconnection networks, Cayley graphs arise as one of the most frequently used models; on the mathematical side, they play a central role as the prototypes of vertextransitive graphs. The surveys published here provide an account of these developments, with a strong emphasis on the fruitful interplay of methods from group theory and graph theory that characterises the subject. Topics covered include: combinatorial properties of various hierarchical families of Cayley graphs (fault tolerance, diameter, routing, forwarding indices, etc.); Laplace eigenvalues of graphs and their relations to forwarding problems, isoperimetric properties, partition problems, and random walks on graphs; vertextransitive graphs of small orders and of orders having few prime factors; distance transitive graphs; isomorphism problems for Cayley graphs of cyclic groups; infinite vertextransitive graphs (the random graph and generalisations, actions of the automorphisms on ray ends, relations to the growth rate of the graph)
Shape optimization and free boundaries by
Michel C Delfour(
Book
)
11 editions published between 1992 and 2000 in English and held by 105 WorldCat member libraries worldwide
Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc.<br/> Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc.<br/> The objective and orginality of this NATOASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems. <br/>
11 editions published between 1992 and 2000 in English and held by 105 WorldCat member libraries worldwide
Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc.<br/> Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc.<br/> The objective and orginality of this NATOASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems. <br/>
Approximation, complex analysis, and potential theory by
N Arakelian(
Book
)
8 editions published in 2001 in English and held by 100 WorldCat member libraries worldwide
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians
8 editions published in 2001 in English and held by 100 WorldCat member libraries worldwide
Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians
Topological methods in differential equations and inclusions by
Andrzej Granas(
Book
)
9 editions published in 1995 in English and held by 99 WorldCat member libraries worldwide
The main topics covered in this book, which contains the proceedings of the NATO ASI held in Montreal, are: nonsmooth critical point theory; second order differential equations on manifolds and forced oscillations; topological approach to differential inclusions; periodicity of singularly perturbed delay equations; existence, multiplicity and bifurcation of solutions of nonlinear boundary value problems; some applications of the topological degree to stability theory; bifurcation problems for semilinear elliptic equations; ordinary differential equations in Banach spaces; the center manifold technique and complex dynamics of reaction diffusion equations
9 editions published in 1995 in English and held by 99 WorldCat member libraries worldwide
The main topics covered in this book, which contains the proceedings of the NATO ASI held in Montreal, are: nonsmooth critical point theory; second order differential equations on manifolds and forced oscillations; topological approach to differential inclusions; periodicity of singularly perturbed delay equations; existence, multiplicity and bifurcation of solutions of nonlinear boundary value problems; some applications of the topological degree to stability theory; bifurcation problems for semilinear elliptic equations; ordinary differential equations in Banach spaces; the center manifold technique and complex dynamics of reaction diffusion equations
Modern methods in scientific computing and applications by
Anne Bourlioux(
Book
)
8 editions published in 2002 in English and held by 70 WorldCat member libraries worldwide
The influence of scientific computing has become very wide over the last few decades: almost every area of science and engineering is greatly influenced by simulations  image processing, thin films, mathematical finance, electrical engineering, moving interfaces and combustion, to name but a few. One half of this book focuses on the techniques of scientific computing: domain decomposition, the absorption of boundary conditions and oneway operators, convergence analysis of multigrid methods and other multigrid techniques, dynamical systems, and matrix analysis. The remainder of the book is concerned with combining techniques with concrete applications: stochastic differential equations, image processing, thin films, and asymptotic analysis for combustion problems
8 editions published in 2002 in English and held by 70 WorldCat member libraries worldwide
The influence of scientific computing has become very wide over the last few decades: almost every area of science and engineering is greatly influenced by simulations  image processing, thin films, mathematical finance, electrical engineering, moving interfaces and combustion, to name but a few. One half of this book focuses on the techniques of scientific computing: domain decomposition, the absorption of boundary conditions and oneway operators, convergence analysis of multigrid methods and other multigrid techniques, dynamical systems, and matrix analysis. The remainder of the book is concerned with combining techniques with concrete applications: stochastic differential equations, image processing, thin films, and asymptotic analysis for combustion problems
Normal forms, bifurcations, and finiteness problems in differential equations by Bifurcations, and Finiteness Problems in Differential Equations NATO Advanced Study Institute on Normal Forms(
Book
)
4 editions published in 2004 in English and held by 69 WorldCat member libraries worldwide
4 editions published in 2004 in English and held by 69 WorldCat member libraries worldwide
Representation theories and algebraic geometry by
A Broer(
Book
)
9 editions published in 1998 in English and held by 19 WorldCat member libraries worldwide
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as Dmodules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of HarishChandra modules
9 editions published in 1998 in English and held by 19 WorldCat member libraries worldwide
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as Dmodules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of HarishChandra modules
Algebraic graph theory : a volume dedicated to Gert Sabidussi by
Pavol Hell(
Book
)
3 editions published in 1992 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 6 WorldCat member libraries worldwide
Factorisations of 4regular graphs and Petersen's theorem by Mekkia Kouider(
Book
)
4 editions published in 1994 in English and French and held by 5 WorldCat member libraries worldwide
4 editions published in 1994 in English and French and held by 5 WorldCat member libraries worldwide
Modular Nim by
Aviezri S Fraenkel(
Book
)
3 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
3colourability of 4regular Hamiltonian graphs by
Herbert Fleischner(
Book
)
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Special issue: algebraic graph theory  a volume dedicated to Gert Sabidussi on the occasion of his 80th birthday : [... a
conference ... Dubrovnik, Croatia](
Book
)
2 editions published in 2012 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 3 WorldCat member libraries worldwide
Representation Theories and Algebraic Geometry by
A Broer(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 North Atlantic Treaty Organization Scientific Affairs Division Other Publisher Editor
 Turgeon, Jean Editor
 Kotzig, Anton Dedicatee
 Rosa, Alexander Editor
 Hahn, Geňa 1949 Other Author Editor
 Gauthier, Paul M. Other Author Editor
 Woodrow, Robert E. 1948 Editor
 Rosenberg, I. G. (Ivo G.) 1939 Author Editor
 Hurtubise, Jacques Other Author Editor
 Lalonde, François Other Editor
Useful Links
Associated Subjects
Algebra Algebra, Universal Algebraic topology Approximation theory Bifurcation theory Boundary value problems Cayley graphs Combinatorial analysis Control theory Differential equations Differential equations, Partial Differential equationsNumerical solutions Differential inclusions Fixed point theory Functional analysis Functions of complex variables Functions of several complex variables Game theory Gauge fields (Physics)Mathematics Geometry Geometry, Algebraic Global differential geometry Graph theory Group theory Hamiltonian systems Information theory Integral geometry Kotzig, Anton Lattice theory Logic, Symbolic and mathematical Mathematical analysis Mathematical physics Mathematics Mechanics Nonlinear functional analysis Nonlinear theories Normal forms (Mathematics) Numerical analysisData processing Ordered algebraic structures Paths and cycles (Graph theory) Potential theory (Mathematics) Rays (Graph theory) Representations of algebras Science ScienceData processing ScienceMathematical models Shape theory (Topology) Symplectic manifolds Topological groups Topology