Lovász, László 1948
Overview
Works:  167 works in 612 publications in 4 languages and 9,200 library holdings 

Genres:  Conference proceedings Handbooks, manuals, etc Biography Film adaptations 
Roles:  Author, Editor, Honoree, Other 
Classifications:  QA164, 511.6 
Publication Timeline
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Most widely held works about
László Lovász
 Building bridges : between mathematics and computer science by Martin Grötschel( Book )
Most widely held works by
László Lovász
Combinatorial problems and exercises by
László Lovász(
Book
)
54 editions published between 1979 and 2014 in English and Dutch and held by 924 WorldCat member libraries worldwide
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book. Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random w
54 editions published between 1979 and 2014 in English and Dutch and held by 924 WorldCat member libraries worldwide
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book. Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random w
Geometric algorithms and combinatorial optimization by
Martin Grötschel(
Book
)
33 editions published between 1980 and 1994 in English and German and held by 591 WorldCat member libraries worldwide
This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and  in particular  combinatorial optimization. It offers a unifying approach based on two fundamental geometric algorithms:  the ellipsoid method for finding a point in a convex set and  the basis reduction method for point lattices. The ellipsoid method was used by Khachiyan to show the polynomial time solvability of linear programming. The basis reduction method yields a polynomial time procedure for certain diophantine approximation problems. A combination of these techniques makes it possible to show the polynomial time solvability of many questions concerning poyhedra  for instance, of linear programming problems having possibly exponentially many inequalities. Utilizing results from polyhedral combinatorics, it provides short proofs of the poynomial time solvability of many combinatiorial optimization problems. For a number of these problems, the geometric algorithms discussed in this book are the only techniques known to derive polynomial time solvability. This book is a continuation and extension of previous research of the authors for which they received the Fulkerson Prize, awarded by the Mathematical Programming Society and the American Mathematical Society
33 editions published between 1980 and 1994 in English and German and held by 591 WorldCat member libraries worldwide
This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and  in particular  combinatorial optimization. It offers a unifying approach based on two fundamental geometric algorithms:  the ellipsoid method for finding a point in a convex set and  the basis reduction method for point lattices. The ellipsoid method was used by Khachiyan to show the polynomial time solvability of linear programming. The basis reduction method yields a polynomial time procedure for certain diophantine approximation problems. A combination of these techniques makes it possible to show the polynomial time solvability of many questions concerning poyhedra  for instance, of linear programming problems having possibly exponentially many inequalities. Utilizing results from polyhedral combinatorics, it provides short proofs of the poynomial time solvability of many combinatiorial optimization problems. For a number of these problems, the geometric algorithms discussed in this book are the only techniques known to derive polynomial time solvability. This book is a continuation and extension of previous research of the authors for which they received the Fulkerson Prize, awarded by the Mathematical Programming Society and the American Mathematical Society
Discrete mathematics : elementary and beyond by
László Lovász(
Book
)
28 editions published between 2003 and 2006 in English and German and held by 522 WorldCat member libraries worldwide
"This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous examples, figures, and exercises spread throughout the book."Jacket
28 editions published between 2003 and 2006 in English and German and held by 522 WorldCat member libraries worldwide
"This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous examples, figures, and exercises spread throughout the book."Jacket
Handbook of combinatorics by
Ronald L Graham(
Book
)
13 editions published in 1995 in English and Italian and held by 515 WorldCat member libraries worldwide
13 editions published in 1995 in English and Italian and held by 515 WorldCat member libraries worldwide
Matching theory by
László Lovász(
Book
)
32 editions published between 1986 and 2009 in English and Undetermined and held by 473 WorldCat member libraries worldwide
This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the nonbipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2matchings, general matching problems as linear programs, the Edmonds Matching Algorithm (and other algorithmic approaches), ffactors and vertex packing
32 editions published between 1986 and 2009 in English and Undetermined and held by 473 WorldCat member libraries worldwide
This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the nonbipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2matchings, general matching problems as linear programs, the Edmonds Matching Algorithm (and other algorithmic approaches), ffactors and vertex packing
An algorithmic theory of numbers, graphs, and convexity by
László Lovász(
Book
)
21 editions published between 1985 and 1989 in English and German and held by 461 WorldCat member libraries worldwide
A study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design. Algorithmic designers concerned with linear and nonlinear combinatorial optimization will find this volume especially useful. Two algorithms are studied in detail: the ellipsoid method and the simultaneous diophantine approximation method. Although both were developed to study, on a theoretical level, the feasibility of computing some specialized problems in polynomial time, they appear to have practical applications. The book first describes use of the simultaneous diophantine method to develop sophisticated rounding procedures. Then a model is described to compute upper and lower bounds on various measures of convex bodies. Use of the two algorithms is brought together by the author in a study of polyhedra with rational vertices. The book closes with some applications of the results to combinatorial optimization
21 editions published between 1985 and 1989 in English and German and held by 461 WorldCat member libraries worldwide
A study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design. Algorithmic designers concerned with linear and nonlinear combinatorial optimization will find this volume especially useful. Two algorithms are studied in detail: the ellipsoid method and the simultaneous diophantine approximation method. Although both were developed to study, on a theoretical level, the feasibility of computing some specialized problems in polynomial time, they appear to have practical applications. The book first describes use of the simultaneous diophantine method to develop sophisticated rounding procedures. Then a model is described to compute upper and lower bounds on various measures of convex bodies. Use of the two algorithms is brought together by the author in a study of polyhedra with rational vertices. The book closes with some applications of the results to combinatorial optimization
Large networks and graph limits by
László Lovász(
Book
)
12 editions published between 2012 and 2013 in English and held by 260 WorldCat member libraries worldwide
12 editions published between 2012 and 2013 in English and held by 260 WorldCat member libraries worldwide
Greedoids by
B. H Korte(
Book
)
17 editions published between 1991 and 2013 in English and Undetermined and held by 247 WorldCat member libraries worldwide
With the advent of computers, algorithmic principles play an ever increasing role in mathematics. Algorithms have to exploit the structure of the underlying mathematical object, and properties exploited by algorithms are often closely tied to classical structural analysis in mathematics. This connection between algorithms and structure is in particular apparent in discrete mathematics, where proofs are often constructive, and can be turned into algorithms more directly. The principle of greediness plays a fundamental role both in the design of continuous algorithms (where it is called the steepest descent or gradient method) and of discrete algorithms. The discrete structure most closely related to greediness is a matroid; in fact, matroids may be characterized axiomatically as those independence systems for which the greedy solution is optimal for certain optimization problems (e.g. linear objective functions, bottleneck functions). This book is an attempt to unify different approaches and to lead the reader from fundamental results in matroid theory to the current borderline of open research problems. The monograph begins by reviewing classical concepts from matroid theory and extending them to greedoids. It then proceeds to the discussion of subclasses like interval greedoids, antimatroids or convex geometries, greedoids on partially ordered sets and greedoid intersections. Emphasis is placed on optimization problems in greedois. An algorithmic characterization of greedoids in terms of the greedy algorithm is derived, the behaviour with respect to linear functions is investigated, the shortest path problem for graphs is extended to a class of greedoids, linear descriptions of antimatroid polyhedra and complexity results are given and the RadoHall theorem on transversals is generalized. The selfcontained volume which assumes only a basic familarity with combinatorial optimization ends with a chapter on topological results in connection with greedoids
17 editions published between 1991 and 2013 in English and Undetermined and held by 247 WorldCat member libraries worldwide
With the advent of computers, algorithmic principles play an ever increasing role in mathematics. Algorithms have to exploit the structure of the underlying mathematical object, and properties exploited by algorithms are often closely tied to classical structural analysis in mathematics. This connection between algorithms and structure is in particular apparent in discrete mathematics, where proofs are often constructive, and can be turned into algorithms more directly. The principle of greediness plays a fundamental role both in the design of continuous algorithms (where it is called the steepest descent or gradient method) and of discrete algorithms. The discrete structure most closely related to greediness is a matroid; in fact, matroids may be characterized axiomatically as those independence systems for which the greedy solution is optimal for certain optimization problems (e.g. linear objective functions, bottleneck functions). This book is an attempt to unify different approaches and to lead the reader from fundamental results in matroid theory to the current borderline of open research problems. The monograph begins by reviewing classical concepts from matroid theory and extending them to greedoids. It then proceeds to the discussion of subclasses like interval greedoids, antimatroids or convex geometries, greedoids on partially ordered sets and greedoid intersections. Emphasis is placed on optimization problems in greedois. An algorithmic characterization of greedoids in terms of the greedy algorithm is derived, the behaviour with respect to linear functions is investigated, the shortest path problem for graphs is extended to a class of greedoids, linear descriptions of antimatroid polyhedra and complexity results are given and the RadoHall theorem on transversals is generalized. The selfcontained volume which assumes only a basic familarity with combinatorial optimization ends with a chapter on topological results in connection with greedoids
Algebraic methods in graph theory by Conference on Algebraic Methods in Graph Theory(
Book
)
16 editions published in 1981 in English and Undetermined and held by 213 WorldCat member libraries worldwide
16 editions published in 1981 in English and Undetermined and held by 213 WorldCat member libraries worldwide
Theory of algorithms(
Book
)
9 editions published between 1985 and 1986 in English and Dutch and held by 211 WorldCat member libraries worldwide
9 editions published between 1985 and 1986 in English and Dutch and held by 211 WorldCat member libraries worldwide
N is a number a portrait of Paul Erdős by
George Paul Csicsery(
Visual
)
1 edition published in 2004 in English and held by 194 WorldCat member libraries worldwide
A documentary filmed in England, Hungary, Poland and the United States over a period of four years presenting mathematician Paul Erdos's mathematical quest in its personal and philosophical dimensions, and the tragic historical events that molded his life
1 edition published in 2004 in English and held by 194 WorldCat member libraries worldwide
A documentary filmed in England, Hungary, Poland and the United States over a period of four years presenting mathematician Paul Erdos's mathematical quest in its personal and philosophical dimensions, and the tragic historical events that molded his life
Matroid theory(
Book
)
12 editions published in 1985 in English and Undetermined and held by 172 WorldCat member libraries worldwide
12 editions published in 1985 in English and Undetermined and held by 172 WorldCat member libraries worldwide
Finite and infinite sets by
A Hajnal(
Book
)
10 editions published in 1984 in English and held by 153 WorldCat member libraries worldwide
Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and selfdual Echains, transversality of Echains and Esquares, and binary Echains and Esquares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperne
10 editions published in 1984 in English and held by 153 WorldCat member libraries worldwide
Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and selfdual Echains, transversality of Echains and Esquares, and binary Echains and Esquares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperne
Combinatorial optimization : papers from the DIMACS Special Year by DIMACS Special Year on Combinatorial Optimization(
Book
)
8 editions published in 1995 in English and held by 146 WorldCat member libraries worldwide
8 editions published in 1995 in English and held by 146 WorldCat member libraries worldwide
Combinatorics by
A Hajnal(
Book
)
10 editions published in 1988 in English and held by 126 WorldCat member libraries worldwide
10 editions published in 1988 in English and held by 126 WorldCat member libraries worldwide
More sets, graphs, and numbers : a salute to Vera Sós and András Hajnal by
Ervin Győri(
Book
)
9 editions published between 2006 and 2014 in English and held by 105 WorldCat member libraries worldwide
Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and stateoftheart results) and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers inspire further research. The volume is recommended to experienced specialists as well as to young researchers and students
9 editions published between 2006 and 2014 in English and held by 105 WorldCat member libraries worldwide
Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and stateoftheart results) and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers inspire further research. The volume is recommended to experienced specialists as well as to young researchers and students
Graph theory and combinatorial biology by
László Lovász(
Book
)
7 editions published in 1999 in English and held by 98 WorldCat member libraries worldwide
7 editions published in 1999 in English and held by 98 WorldCat member libraries worldwide
Horizons of combinatorics by
Ervin Győri(
Book
)
9 editions published in 2008 in English and held by 89 WorldCat member libraries worldwide
Hungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry as well. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference Horizons of Combinatorics held in Balatonalmadi, Hungary in 2006. The collection gives a very good overview of recent trends and results in a large part of combinatorics and related topics, and offers an interesting reading for experienced specialists as well as to young researchers and students
9 editions published in 2008 in English and held by 89 WorldCat member libraries worldwide
Hungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry as well. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference Horizons of Combinatorics held in Balatonalmadi, Hungary in 2006. The collection gives a very good overview of recent trends and results in a large part of combinatorics and related topics, and offers an interesting reading for experienced specialists as well as to young researchers and students
Research trends in combinatorial optimization : Bonn 2008 by
William Cook(
Book
)
10 editions published between 2008 and 2009 in English and held by 68 WorldCat member libraries worldwide
This book, written by leading experts in combinatorial optimization, features indepth surveys of current research areas in combinatorial optimization in the broad sense, ranging from applied graph theory to mathematical programming. It also contains numerous new results and shows many interesting current research directions. This book will be indispensible for any researcher in combinatorial optimization
10 editions published between 2008 and 2009 in English and held by 68 WorldCat member libraries worldwide
This book, written by leading experts in combinatorial optimization, features indepth surveys of current research areas in combinatorial optimization in the broad sense, ranging from applied graph theory to mathematical programming. It also contains numerous new results and shows many interesting current research directions. This book will be indispensible for any researcher in combinatorial optimization
Erdős centennial by
László Lovász(
Book
)
12 editions published between 2013 and 2014 in English and held by 31 WorldCat member libraries worldwide
"Paul Erdős was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the farreaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments."Page [4] of cover
12 editions published between 2013 and 2014 in English and held by 31 WorldCat member libraries worldwide
"Paul Erdős was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the farreaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments."Page [4] of cover
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Related Identities
 Grötschel, Martin Author Editor
 Pelikán, J. (József)
 Sós, Vera T. Editor
 Katona, G. Editor
 Vsztergombi, K. (Katalin)
 Győri, Ervin 1954 Author Editor
 Graham, Ronald L. 1935 Author Editor
 Hajnal, A. Editor
 Korte, B. H. (Bernhard H.) 1938 Author Editor
 Schrijver, A.
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Associated Subjects
Algebra Algebra, Abstract Algorithms Biomathematics Combinatorial analysis Combinatorial geometry Combinatorial optimization Computational complexity Computer programming Computer science Computer scienceMathematics Convex domains Distribution (Probability theory) Economics Electronic data processing Erdős, Paul, Geometry of numbers Graph theory Greedoids Hoffman, Paul, Hungary Influence (Literary, artistic, etc.) Jewish mathematicians Logic, Symbolic and mathematical Machine translating Matching theory Mathematical optimization Mathematical statistics Mathematicians Mathematics MathematicsPhilosophy Matroids Number theory Operations research Programming (Mathematics) Ramsey theory Random graphs Set theory
Alternative Names
Lāslo Lovāss
László Lovász
László Lovász Hungarian mathematician
László Lovász matematico ungherese
László Lovász ungarischer Mathematiker
László Lovász ungersk datavetare och matematiker
Lovász, L.
Lovász, L. 1948
Lovász, L. (László), 1948
Lovász, László
Lovasz, Laszlo 1948
Ласло Ловас
Ловас, Ласло
לסלו לובאס
لاسلو لوواس ریاضیدان و دانشمند علوم کامپیوتر اهل مجارستان
লাসলো লোভাশ
로바스 라슬로
ロバース, ラスロウ
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