Bollobás, Béla
Overview
Works:  128 works in 510 publications in 4 languages and 10,440 library holdings 

Genres:  Conference proceedings Popular works 
Roles:  Author, Editor, Other, Honoree, Contributor 
Classifications:  QA166, 511.5 
Publication Timeline
.
Most widely held works about
Béla Bollobás
Most widely held works by
Béla Bollobás
Graph theory : an introductory course
by
Béla Bollobás(
Book
)
26 editions published between 1979 and 1999 in 3 languages and held by 900 WorldCat member libraries worldwide
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text ... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of wellknown standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1
26 editions published between 1979 and 1999 in 3 languages and held by 900 WorldCat member libraries worldwide
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text ... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of wellknown standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1
Surveys in combinatorics proceedings of the 7th British Combinatorial Conference
by British Combinatorial Conference(
)
13 editions published in 1979 in English and Undetermined and held by 826 WorldCat member libraries worldwide
13 editions published in 1979 in English and Undetermined and held by 826 WorldCat member libraries worldwide
Random graphs
by
Béla Bollobás(
Book
)
35 editions published between 1985 and 2008 in English and Undetermined and held by 821 WorldCat member libraries worldwide
"This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up to date and comprehensive account of random graph theory. The theory (founded by Erdos and Renyi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is selfcontained, and with numerous exercises in each chapter, is ideal for advanced courses or self study."Publisher's description
35 editions published between 1985 and 2008 in English and Undetermined and held by 821 WorldCat member libraries worldwide
"This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up to date and comprehensive account of random graph theory. The theory (founded by Erdos and Renyi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is selfcontained, and with numerous exercises in each chapter, is ideal for advanced courses or self study."Publisher's description
Modern graph theory
by
Béla Bollobás(
Book
)
27 editions published between 1979 and 2010 in English and held by 723 WorldCat member libraries worldwide
"This book is an indepth account of graph theory; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory  An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest."Jacket
27 editions published between 1979 and 2010 in English and held by 723 WorldCat member libraries worldwide
"This book is an indepth account of graph theory; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory  An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest."Jacket
Littlewood's Miscellany
by
John E Littlewood(
Book
)
19 editions published between 1986 and 1997 in English and Undetermined and held by 607 WorldCat member libraries worldwide
19 editions published between 1986 and 1997 in English and Undetermined and held by 607 WorldCat member libraries worldwide
Extremal graph theory
by
Béla Bollobás(
Book
)
17 editions published between 1978 and 2013 in English and Undetermined and held by 596 WorldCat member libraries worldwide
The everexpanding field of extremal graph theory encompasses an array of problemsolving methods, including applications to economics, computer science, and optimization theory. This volume presents a concise yet comprehensive treatment, featuring complete proofs for almost all of its results and numerous exercises. 1978 edition
17 editions published between 1978 and 2013 in English and Undetermined and held by 596 WorldCat member libraries worldwide
The everexpanding field of extremal graph theory encompasses an array of problemsolving methods, including applications to economics, computer science, and optimization theory. This volume presents a concise yet comprehensive treatment, featuring complete proofs for almost all of its results and numerous exercises. 1978 edition
Linear analysis : an introductory course
by
Béla Bollobás(
Book
)
23 editions published between 1990 and 2011 in English and Undetermined and held by 577 WorldCat member libraries worldwide
This introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finitedimensional spaces, invariant subspace, fixedpoint theorem, and the BishopPhelps theorem. An outstanding set of exercises run from the elementary to the challenging
23 editions published between 1990 and 2011 in English and Undetermined and held by 577 WorldCat member libraries worldwide
This introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finitedimensional spaces, invariant subspace, fixedpoint theorem, and the BishopPhelps theorem. An outstanding set of exercises run from the elementary to the challenging
Combinatorics : set systems, hypergraphs, families of vectors, and combinatorial probability
by
Béla Bollobás(
Book
)
21 editions published between 1986 and 2004 in English and held by 487 WorldCat member libraries worldwide
"Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates."Publisher's description
21 editions published between 1986 and 2004 in English and held by 487 WorldCat member libraries worldwide
"Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates."Publisher's description
Advances in graph theory
by Cambridge Combinatorial Conference(
Book
)
20 editions published in 1978 in English and Undetermined and held by 486 WorldCat member libraries worldwide
Advances in graph theory
20 editions published in 1978 in English and Undetermined and held by 486 WorldCat member libraries worldwide
Advances in graph theory
Graph theory : proceedings of the Conference on Graph Theory, Cambridge
by Conference on Graph Theory(
Book
)
18 editions published in 1982 in English and held by 435 WorldCat member libraries worldwide
18 editions published in 1982 in English and held by 435 WorldCat member libraries worldwide
Handbook of largescale random networks
by
Béla Bollobás(
)
19 editions published between 2008 and 2010 in English and held by 429 WorldCat member libraries worldwide
This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of largescale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of largescale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models.The book is based on the material of the NSF workshop on Largescale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis
19 editions published between 2008 and 2010 in English and held by 429 WorldCat member libraries worldwide
This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of largescale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of largescale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models.The book is based on the material of the NSF workshop on Largescale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis
The art of mathematics : coffee time in Memphis
by
Béla Bollobás(
Book
)
18 editions published between 2006 and 2010 in English and held by 427 WorldCat member libraries worldwide
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions in which the mathematician's art can be brought to bear. But play often has a purpose, whether it's bear cubs in mock fights, or war games. In mathematics, it can sharpen skills, or provide amusement, or simply surprise, and collections of problems have been the stockintrade of mathematicians for centuries. Two of the twentieth century's greatest players of problem posing and solving, Erdos and Littlewood, are the inspiration for this collection, which is designed to be sipped from, rather than consumed, in one sitting. The questions themselves range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest are capable of prompting readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner, oran amateur, this book will delight for a lifetime.  Publisher
18 editions published between 2006 and 2010 in English and held by 427 WorldCat member libraries worldwide
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions in which the mathematician's art can be brought to bear. But play often has a purpose, whether it's bear cubs in mock fights, or war games. In mathematics, it can sharpen skills, or provide amusement, or simply surprise, and collections of problems have been the stockintrade of mathematicians for centuries. Two of the twentieth century's greatest players of problem posing and solving, Erdos and Littlewood, are the inspiration for this collection, which is designed to be sipped from, rather than consumed, in one sitting. The questions themselves range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest are capable of prompting readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner, oran amateur, this book will delight for a lifetime.  Publisher
Probabilistic combinatorics and its applications
by
Béla Bollobás(
Book
)
13 editions published between 1991 and 1992 in English and Italian and held by 369 WorldCat member libraries worldwide
13 editions published between 1991 and 1992 in English and Italian and held by 369 WorldCat member libraries worldwide
A Tribute to Paul Erdős
(
Book
)
10 editions published between 1990 and 2008 in English and held by 359 WorldCat member libraries worldwide
A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'!
10 editions published between 1990 and 2008 in English and held by 359 WorldCat member libraries worldwide
A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'!
Percolation
by
Béla Bollobás(
Book
)
14 editions published between 2006 and 2009 in English and held by 352 WorldCat member libraries worldwide
14 editions published between 2006 and 2009 in English and held by 352 WorldCat member libraries worldwide
Extremal graph theory with emphasis on probabilistic methods
by
Béla Bollobás(
Book
)
11 editions published in 1986 in English and Undetermined and held by 336 WorldCat member libraries worldwide
11 editions published in 1986 in English and Undetermined and held by 336 WorldCat member libraries worldwide
Graph theory and combinatorics : proceedings of the Cambridge Combinatorial Conference in honour of Paul Erdős
by Cambridge Combinatorial Conference(
Book
)
15 editions published between 1983 and 1984 in English and held by 311 WorldCat member libraries worldwide
15 editions published between 1983 and 1984 in English and held by 311 WorldCat member libraries worldwide
Graph theory and combinatorics, 1988 : proceedings of the Cambridge Combinatorial Conference in honour of Paul Erdős
by
Cambridge Combinatorial Conference(
)
13 editions published in 1989 in English and Undetermined and held by 301 WorldCat member libraries worldwide
Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdos, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas. This volume is dedicated to Paul Erdos on the occasion of his seventyfifth birthday
13 editions published in 1989 in English and Undetermined and held by 301 WorldCat member libraries worldwide
Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdos, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas. This volume is dedicated to Paul Erdos on the occasion of his seventyfifth birthday
Combinatorics, geometry, and probability : a tribute to Paul Erdős
(
Book
)
13 editions published between 1997 and 2004 in English and held by 270 WorldCat member libraries worldwide
13 editions published between 1997 and 2004 in English and held by 270 WorldCat member libraries worldwide
Contemporary combinatorics
(
Book
)
10 editions published between 2002 and 2010 in English and held by 203 WorldCat member libraries worldwide
10 editions published between 2002 and 2010 in English and held by 203 WorldCat member libraries worldwide
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Related Identities
 Erdős, Paul 19131996 Honoree
 University of Cambridge Department of Pure Mathematics and Mathematical Statistics
 Littlewood, John E. (John Edensor) 18851977 Author
 Kozma, Robert Editor
 Miklós, D.
 Chung, Fan R. K. 1949
 Hajnal, A. Editor
 Riordan, Oliver
 Baker, Alan 1939 Editor
 Thomason, Andrew Editor
Useful Links
Associated Subjects
Algebra Combinatorial analysis Combinatorial probabilities Computational complexity Computer science Computer scienceMathematics Computer simulation Computer software Erdős, Paul, Extremal problems (Mathematics) Functional analysis Graph theory Large scale systems Mathematics Percolation (Statistical physics) Ramsey theory Random graphs System analysis