Graham, Ronald L. 1935
Overview
Works:  185 works in 575 publications in 5 languages and 8,292 library holdings 

Genres:  Handbooks and manuals Conference papers and proceedings Biography Biographical films Documentary films Nonfiction films Film adaptations 
Roles:  Author, Editor, Director, Other, Interviewee 
Classifications:  QA39.2, 510 
Publication Timeline
.
Most widely held works about
Ronald L Graham
 On a number theoretic conjecture of Graham by William WingCheung Wong( )
 Graham, Ronald Lewis : mathematics( )
Most widely held works by
Ronald L Graham
Concrete mathematics : a foundation for computer science by
Ronald L Graham(
Book
)
101 editions published between 1988 and 2012 in 3 languages and held by 1,824 WorldCat member libraries worldwide
101 editions published between 1988 and 2012 in 3 languages and held by 1,824 WorldCat member libraries worldwide
Ramsey theory by
Ronald L Graham(
Book
)
27 editions published between 1980 and 2013 in English and Undetermined and held by 994 WorldCat member libraries worldwide
"Discrete mathematics, the study of finite structures, is one of the fastestgrowing areas in mathematics. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the everincreasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms."Book cover
27 editions published between 1980 and 2013 in English and Undetermined and held by 994 WorldCat member libraries worldwide
"Discrete mathematics, the study of finite structures, is one of the fastestgrowing areas in mathematics. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the everincreasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms."Book cover
Handbook of combinatorics by
Ronald L Graham(
Book
)
17 editions published in 1995 in English and Italian and held by 539 WorldCat member libraries worldwide
17 editions published in 1995 in English and Italian and held by 539 WorldCat member libraries worldwide
Erdős on graphs : his legacy of unsolved problems by
Fan R. K Chung(
Book
)
13 editions published between 1998 and 1999 in English and held by 446 WorldCat member libraries worldwide
13 editions published between 1998 and 1999 in English and held by 446 WorldCat member libraries worldwide
Rudiments of Ramsey theory by
Ronald L Graham(
Book
)
22 editions published between 1980 and 2015 in English and Russian and held by 401 WorldCat member libraries worldwide
22 editions published between 1980 and 2015 in English and Russian and held by 401 WorldCat member libraries worldwide
The mathematics of Paul Erdös by
Ronald L Graham(
Book
)
14 editions published between 1996 and 2013 in English and held by 281 WorldCat member libraries worldwide
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdös, one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdös' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 900 pages, arranged into two volumes. These volumes contain both high level research articles as well as "key" articles which survey some of the cornerstones of Erdös' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdös complement this striking collection. A unique contribution is the bibliography on Erdös' publications: the most comprehensive ever published
14 editions published between 1996 and 2013 in English and held by 281 WorldCat member libraries worldwide
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdös, one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdös' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 900 pages, arranged into two volumes. These volumes contain both high level research articles as well as "key" articles which survey some of the cornerstones of Erdös' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdös complement this striking collection. A unique contribution is the bibliography on Erdös' publications: the most comprehensive ever published
Combinatorial mathematics : proceedings of the Third International Conference by
International Conference on Combinatorial Mathematics(
Book
)
12 editions published in 1989 in English and held by 263 WorldCat member libraries worldwide
12 editions published in 1989 in English and held by 263 WorldCat member libraries worldwide
Old and new problems and results in combinatorial number theory by
Paul Erdős(
Book
)
11 editions published in 1980 in English and Undetermined and held by 220 WorldCat member libraries worldwide
11 editions published in 1980 in English and Undetermined and held by 220 WorldCat member libraries worldwide
N is a number a portrait of Paul Erdős by
George Paul Csicsery(
Visual
)
2 editions published in 2004 in English and held by 197 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
2 editions published in 2004 in English and held by 197 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
Contemporary trends in discrete mathematics : from DIMACS and DIMATIA to the future : DIMATIADIMACS conference, May 1925,
1997, Štiřín Castle, Czech Republic by DIMATIADIMACS conference(
Book
)
8 editions published between 1999 and 2000 in English and held by 145 WorldCat member libraries worldwide
8 editions published between 1999 and 2000 in English and held by 145 WorldCat member libraries worldwide
Mathématiques concrètes : fondations pour l'informatique by
Ronald L Graham(
Book
)
7 editions published between 1997 and 2003 in French and held by 132 WorldCat member libraries worldwide
7 editions published between 1997 and 2003 in French and held by 132 WorldCat member libraries worldwide
Handbook of combinatorics(
Book
)
13 editions published between 1995 and 2006 in English and held by 105 WorldCat member libraries worldwide
13 editions published between 1995 and 2006 in English and held by 105 WorldCat member libraries worldwide
Handbook of combinatorics(
Book
)
12 editions published between 1995 and 2003 in English and held by 105 WorldCat member libraries worldwide
12 editions published between 1995 and 2003 in English and held by 105 WorldCat member libraries worldwide
The shortest network problem by
Ronald L Graham(
Visual
)
3 editions published between 1988 and 1989 in English and held by 73 WorldCat member libraries worldwide
Dr. Graham's lecture explores the Steiner problem which asks for the shortest network of line segments to interconnect a set of given points in the design of highway systems, oil pipelines, air conditioning systems and integrated circuits on silicon chips. Provides an introduction to NPcompleteness, a fundamental concept in theoretical computer science
3 editions published between 1988 and 1989 in English and held by 73 WorldCat member libraries worldwide
Dr. Graham's lecture explores the Steiner problem which asks for the shortest network of line segments to interconnect a set of given points in the design of highway systems, oil pipelines, air conditioning systems and integrated circuits on silicon chips. Provides an introduction to NPcompleteness, a fundamental concept in theoretical computer science
Combinatorial number theory : proceedings of the "Integers Conference 2005" in celebration of the 70th birthday of Ronald
Graham, Carrollton, Georgia, USA, October 2730, 2005 by Integers Conference 2005(
Book
)
5 editions published in 2007 in English and held by 70 WorldCat member libraries worldwide
5 editions published in 2007 in English and held by 70 WorldCat member libraries worldwide
The mathematics of Paul Erdös(
Book
)
6 editions published between 1997 and 2013 in English and held by 26 WorldCat member libraries worldwide
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (19131996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special cha
6 editions published between 1997 and 2013 in English and held by 26 WorldCat member libraries worldwide
This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (19131996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdos' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdos' work, each written by a leading world specialist in the field. A special cha
Magical mathematics : the mathematical ideas that animate great magic tricks by
Persi Diaconis(
Book
)
8 editions published between 2011 and 2012 in English and held by 25 WorldCat member libraries worldwide
"Magical Mathematics reveals the secrets of amazing, funtoperform card tricksand the profound mathematical ideas behind themthat will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, stepbystep instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principlea fantastic effect where the cards remain in control despite being shuffledis found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the storiesand reveals the best tricksof the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic streetgambling scam of threecard monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trickand much more"
8 editions published between 2011 and 2012 in English and held by 25 WorldCat member libraries worldwide
"Magical Mathematics reveals the secrets of amazing, funtoperform card tricksand the profound mathematical ideas behind themthat will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, stepbystep instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principlea fantastic effect where the cards remain in control despite being shuffledis found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the storiesand reveals the best tricksof the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic streetgambling scam of threecard monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trickand much more"
Handbook of combinatorial optimization by
Dingzhu Du(
Book
)
6 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
The second edition of this 7volume handbook is intended to be a basic yet comprehensive reference work in combinatorial optimization that will benefit newcomers and researchers for years to come. This multivolumework deals with several algorithmic approaches for discrete problems as well as with many combinatorial problems. The editors have brought together almost every aspect of this enormous field of combinatorial optimization, an area of research at the intersection of applied mathematics, computer science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communications networks, and management science. Aninternational team of 3040 experts in the field form the editorial board. The Handbook of Combinatorial Optimization, second edition is addressed to all scientists who use combinatorial optimization methods to model and solve problems. Experts in the field as well as nonspecialists will find the material stimulating and useful
6 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
The second edition of this 7volume handbook is intended to be a basic yet comprehensive reference work in combinatorial optimization that will benefit newcomers and researchers for years to come. This multivolumework deals with several algorithmic approaches for discrete problems as well as with many combinatorial problems. The editors have brought together almost every aspect of this enormous field of combinatorial optimization, an area of research at the intersection of applied mathematics, computer science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communications networks, and management science. Aninternational team of 3040 experts in the field form the editorial board. The Handbook of Combinatorial Optimization, second edition is addressed to all scientists who use combinatorial optimization methods to model and solve problems. Experts in the field as well as nonspecialists will find the material stimulating and useful
The mathematics of Paul Erdös by
Ronald L Graham(
Book
)
13 editions published between 1996 and 2013 in English and held by 11 WorldCat member libraries worldwide
Part I Combinatorics and Graph Theory  Introduction  Reconstruction Problems for Digraphs  Neighborly Families of Boxes and Bipartite Coverings  On the Isolation of a Common Secret  Properties of Graded Posets Preserved by Some Operations  The Dimension of Random Graph Orders  Hereditary and Monotone Properties of Graphs  Cycles and Paths in TriangleFree Graphs  Problems in Graph Theory from Memphis  Some Remarks on the Cycle Plus Triangles Problem  Intersection Representations of the Complete Bipartite Graph  Reflections on a Problem of Erd s and Hajnal  The Chromatic Number of the TwoPacking of a Forest  Part II Ramsey and Extremal Theory  Introduction  Ramsey Theory in the Work of Paul Erdős  Memories on Shadows and Shadows of Memories  A Bound of the Cardinality of Families Not Containing Systems  Flag Algebras: An Interim Report  Arrangeability and Clique Subdivisions  A Finite Partition Theorem with Double Exponential Bound  Paul Erdős Influence on Extremal Graph Theory  Applications of the Probabilistic Method to Partially Ordered Sets  Part III Infinity  Introduction  A Few Remarks on a Conjecture of Erd s on the Infinite Version of Menger's Theorem  The Random Graph  Paul Erdős Set Theory  Set Theory: Geometric and Real  On OrderPerfect Lattices  The PCF Theorem Revisited  Paul Erdős: The Master of Collaboration  List of Publications of Paul Erdős  Postscript
13 editions published between 1996 and 2013 in English and held by 11 WorldCat member libraries worldwide
Part I Combinatorics and Graph Theory  Introduction  Reconstruction Problems for Digraphs  Neighborly Families of Boxes and Bipartite Coverings  On the Isolation of a Common Secret  Properties of Graded Posets Preserved by Some Operations  The Dimension of Random Graph Orders  Hereditary and Monotone Properties of Graphs  Cycles and Paths in TriangleFree Graphs  Problems in Graph Theory from Memphis  Some Remarks on the Cycle Plus Triangles Problem  Intersection Representations of the Complete Bipartite Graph  Reflections on a Problem of Erd s and Hajnal  The Chromatic Number of the TwoPacking of a Forest  Part II Ramsey and Extremal Theory  Introduction  Ramsey Theory in the Work of Paul Erdős  Memories on Shadows and Shadows of Memories  A Bound of the Cardinality of Families Not Containing Systems  Flag Algebras: An Interim Report  Arrangeability and Clique Subdivisions  A Finite Partition Theorem with Double Exponential Bound  Paul Erdős Influence on Extremal Graph Theory  Applications of the Probabilistic Method to Partially Ordered Sets  Part III Infinity  Introduction  A Few Remarks on a Conjecture of Erd s on the Infinite Version of Menger's Theorem  The Random Graph  Paul Erdős Set Theory  Set Theory: Geometric and Real  On OrderPerfect Lattices  The PCF Theorem Revisited  Paul Erdős: The Master of Collaboration  List of Publications of Paul Erdős  Postscript
The mathematics of Paul Erdős I by
Ronald L Graham(
Book
)
7 editions published in 2013 in English and held by 2 WorldCat member libraries worldwide
Paul Erdős Life and Work  Paul Erdős Magic  Part I Early Days. Introduction  Some of My Favorite Problems and Results  3 Encounters with Paul Erdős  4 Did Erdős Save Western Civilization?  Integers Uniquely Represented by Certain Ternary Forms  Did Erdős Save Western Civilization?  Encounters with Paul Erdős  On Cubic Graphs of Girth at Least Five  Part II Number Theory  Introduction  Crossdisjoint Pairs of Clouds in the Interval Lattice  Classical Results on Primitive and Recent Results on CrossPrimitive Sequences  Dense Difference Sets and their Combinatorial Structure  Integer Sets Containing No Solution to x+y=3z  On Primes Recognizable in Deterministic Polynomial Time  Ballot Numbers, Alternating Products, and the ErdősHeilbronn Conjecture  On Landau's Function g(n)  On Divisibility Properties on Sequences of Integers  On Additive Representation Functions  Arithmetical Properties of Polynomials  Some Methods of Erdős Applied to Finite Arithmetic Progressions  Sur La NonD rivabilit de Fonctions P riodiques Associ es Certaines Formules Sommatoires  1105: First Steps in a Mysterious Quest  Part III Randomness and Applications  Introduction  Games, Randomness, and Algorithms  The Origins of the Theory of Random Graphs  An Upper bound for a Communication Game Related to Timespace Tradeoffs  How Abelian is a Finite Group?  One Small Size Approximation Models  The Erdős Existence Argument  Part IV Geometry  Introduction  Extension of Functional Equations  Remarks on Penrose Tilings  Distances in Convex Polygons  Unexpected Applications of Polynomials in Combinatorics  The Number of Homothetic Subsets  On Lipschitz Mappings Onto a Square  A Remark on Transversal Numbers  In Praise of the Gram Matrix  On Mutually Avoiding Sets
7 editions published in 2013 in English and held by 2 WorldCat member libraries worldwide
Paul Erdős Life and Work  Paul Erdős Magic  Part I Early Days. Introduction  Some of My Favorite Problems and Results  3 Encounters with Paul Erdős  4 Did Erdős Save Western Civilization?  Integers Uniquely Represented by Certain Ternary Forms  Did Erdős Save Western Civilization?  Encounters with Paul Erdős  On Cubic Graphs of Girth at Least Five  Part II Number Theory  Introduction  Crossdisjoint Pairs of Clouds in the Interval Lattice  Classical Results on Primitive and Recent Results on CrossPrimitive Sequences  Dense Difference Sets and their Combinatorial Structure  Integer Sets Containing No Solution to x+y=3z  On Primes Recognizable in Deterministic Polynomial Time  Ballot Numbers, Alternating Products, and the ErdősHeilbronn Conjecture  On Landau's Function g(n)  On Divisibility Properties on Sequences of Integers  On Additive Representation Functions  Arithmetical Properties of Polynomials  Some Methods of Erdős Applied to Finite Arithmetic Progressions  Sur La NonD rivabilit de Fonctions P riodiques Associ es Certaines Formules Sommatoires  1105: First Steps in a Mysterious Quest  Part III Randomness and Applications  Introduction  Games, Randomness, and Algorithms  The Origins of the Theory of Random Graphs  An Upper bound for a Communication Game Related to Timespace Tradeoffs  How Abelian is a Finite Group?  One Small Size Approximation Models  The Erdős Existence Argument  Part IV Geometry  Introduction  Extension of Functional Equations  Remarks on Penrose Tilings  Distances in Convex Polygons  Unexpected Applications of Polynomials in Combinatorics  The Number of Homothetic Subsets  On Lipschitz Mappings Onto a Square  A Remark on Transversal Numbers  In Praise of the Gram Matrix  On Mutually Avoiding Sets
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Audience Level
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Related Identities
 Knuth, Donald Ervin 1938
 Patashnik, Oren
 Erdős, Paul 19131996 Interviewee Author Dedicatee
 Spencer, Joel H. Author
 Nešetřil, Jaroslav Other Editor
 Rothschild, Bruce L. 1941
 Diaconis, Persi Author
 Butler, Steve Editor
 Grötschel, Martin Other Editor
 Lovász, László 1948 Other Editor
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Associated Subjects
Asymptotic expansions Canada Combinatorial analysis Combinatorial number theory Combinatorial optimization Computational complexity Computer science Computer scienceMathematics Discrete groups Distribution (Probability theory) Economics Erdős, Paul, Geometry Graham, Ronald L., Graph theory Hoffman, Paul, Hungary Information theory Logic, Symbolic and mathematical Mathematical optimization Mathematicians Mathematics MathematicsPhilosophy NPcomplete problems Number theory Operations research Ramsey theory Random graphs Scientists Statistics Steiner systems United States
Alternative Names
Graham, R. 1935
Graham, R. L.
Graham, R. L. 1935
Graham, R. L. (Ronald L.), 1935
Graham, R. L. (Ronald Lewis), 1935
Graham, Ron.
Graham, Ron 1935
Graham, Ron L. 1935
Graham, Ronald.
Graham, Ronald 1935
Graham, Ronald L.
Graham, Ronald L. 1935...
Graham, Ronald Lewis 1935
Grchem, R.
Grechem, R. 1935
Lewis Graham Ronald
Ron Graham Amerikaans wiskundige
Ronald Graham amerikansk matematikar
Ronald Graham amerikansk matematiker
Ronald Graham amerykański metematyk
Ronald Graham matematico statunitense
Ronald Graham mathmaticien amricain
Ronald Graham USamerikanischer Mathematiker
Грэхем, Р 1935
Рональд Грехем
Рональд Грэм американский математик
רונלד גראהם
رونالد گراهام ریاضیدان آمریکایی
로널드 그레이엄
グレアム, ロナルド・L
葛立恆
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