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Author : Tibor Szabó
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (355 download)
Download or read book Extremal Problems for Graphs and Hypergraphs written by Tibor Szabó and published by . This book was released on 1996 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Amites Sarkar
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (894 download)
Download or read book Extremal Problems for Graphs and Hypergraphs written by Amites Sarkar and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : נוגה אלון
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (498 download)
Download or read book Extremal problems in graphs and hypergraphs written by נוגה אלון and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ruth Luo
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (114 download)
Download or read book Extremal Problems for Cycles in Graphs and Hypergraphs written by Ruth Luo and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Timothy Duncan Townsend
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)
Download or read book Extremal Problems on Graphs, Directed Graphs and Hypergraphs written by Timothy Duncan Townsend and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sean J. English
Publisher :
ISBN 13 :
Total Pages : 131 pages
Book Rating : 4.:/5 (11 download)
Download or read book Probabilistic and Extremal Problems in Combinatorics written by Sean J. English and published by . This book was released on 2018 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory as a mathematical branch has been studied rigorously for almost three centuries. In the past century, many new branches of graph theory have been proposed. One important branch of graph theory involves the study of extremal graph theory. In 1941, Turán studied one of the first extremal problems, namely trying to maximize the number of edges over all graphs which avoid having certain structures. Since then, a large body of work has been created in the study of similar problems. In this dissertation, a few different extremal problems are studied, but for hypergraphs rather than graphs. In particular, we consider the saturation problem for families of Berge hypergraphs. In addition to the study of extremal hypergraph problems, this dissertation also focuses on problems of a probabilistic nature. Graphs and hypergraphs that are generated through a random process have been popular objects of study since the seminal work on them done by Erdős and Rényi, and independently Gilbert in 1959. Here we study problems involving finding certain Ramsey properties of random hypergraphs, and also finding the probabilistic threshold for specific cycle structures to appear in randomly colored random hypergraphs. We also explore an application of Markov chains to a problem of a topological nature, namely studying Morse functions on the sphere.
Download or read book Extremal Problems Involving Forbidden Subgraphs written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Hall Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 940101826X
Total Pages : 480 pages
Book Rating : 4.4/5 (1 download)
Download or read book Combinatorics written by M. Hall Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.
Author : Fan Chung
Publisher : CRC Press
ISBN 13 : 1000151816
Total Pages : 248 pages
Book Rating : 4.0/5 (1 download)
Download or read book Erdös on Graphs written by Fan Chung and published by CRC Press. This book was released on 2020-08-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
Author : Attila Dankovics
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)
Download or read book Extremal Problems in Graph Theory and a Hypergraph Packing Problem written by Attila Dankovics and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Pei
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book List Colouring Hypergraphs and Extremal Results for Acyclic Graphs written by Martin Pei and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Pritikin
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (89 download)
Download or read book Extremal Problems in Graph Homomorphisms and Vertex Identifications written by Daniel Pritikin and published by . This book was released on 1984 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Adrian Bondy
Publisher : Toronto ; Orlando : Academic Press
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.3/5 (91 download)
Download or read book Progress in Graph Theory written by John Adrian Bondy and published by Toronto ; Orlando : Academic Press. This book was released on 1984 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Felix G. Lazebnik
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (244 download)
Download or read book Some Extremal Problems for Graphs with Fixed Numbers of Vertices and Edges written by Felix G. Lazebnik and published by . This book was released on 1987 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simón Piga
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (132 download)
Download or read book Extremal Problems in 3-uniform Hypergraphs written by Simón Piga and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jagdish N. Srivastava
Publisher : Elsevier
ISBN 13 : 1483278174
Total Pages : 476 pages
Book Rating : 4.4/5 (832 download)
Download or read book A Survey of Combinatorial Theory written by Jagdish N. Srivastava and published by Elsevier. This book was released on 2014-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.
Author : Peter Frankl
Publisher : American Mathematical Soc.
ISBN 13 : 1470440393
Total Pages : 234 pages
Book Rating : 4.4/5 (74 download)
Download or read book Extremal Problems for Finite Sets written by Peter Frankl and published by American Mathematical Soc.. This book was released on 2018-08-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.
