Topics in Extremal Graph Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topics in Extremal Graph Theory PDF full book. Access full book title Topics in Extremal Graph Theory by Brandon Cruz. Download full books in PDF and EPUB format.
Author: Brandon Cruz
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 120
Get Book Here
Book Description
Author: Brandon Cruz
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 120
Get Book Here
Book Description
Author: Peter Keevash
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Myung Sook Chung
Publisher:
ISBN:
Category :
Languages : en
Pages : 166
Get Book Here
Book Description
New results are proved on several problems in extremal graph theory. Let $exsp*(D;H)$ denote the maximum number of edges in a connected graph with maximum degree D and no induced subgraph isomorphic to the graph H. It is shown that this is finite if and only if H is a disjoint union of paths. Several specific forbidden subgraphs H have been studied, and the following results have been proved: (1) $ exsp*(D;Psb4) = Dsp2$ for all D, uniquely achieved by $Ksb{D,D}.$ If, in addition, the maximum clique size is $omega$, then the number of edges is at most $Dsp2 - {D(omega-2)over 2}.$ (2) $exsp*(D;Psb5) = {2over 27}Dsp3 + O(Dsp2).$ (3) $exsp*(D;2Psb3) = {1over 8}Dsp4 +{1over 8}Dsp3 + O(Dsp2).$ (4) $exsp*(D;Psb3 + Psb2)
Author: Bela Bollobas
Publisher: Courier Corporation
ISBN: 0486317587
Category : Mathematics
Languages : en
Pages : 512
Get Book Here
Book Description
The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.
Author: Alexander Philip Roberts
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Béla Bollobás
Publisher: American Mathematical Soc.
ISBN: 0821807129
Category : Mathematics
Languages : en
Pages : 74
Get Book Here
Book Description
Problems in extremal graph theory have traditionally been tackled by ingenious methods which made use of the structure of extremal graphs. In this book, an update of his 1978 book Extremal Graph Theory, the author focuses on a trend towards probabilistic methods. He demonstrates both the direct use of probability theory and, more importantly, the fruitful adoption of a probabilistic frame of mind when tackling main line extremal problems. Essentially self-contained, the book doesnot merely catalog results, but rather includes considerable discussion on a few of the deeper results. The author addresses pure mathematicians, especially combinatorialists and graduate students taking graph theory, as well as theoretical computer scientists. He assumes a mature familiarity withcombinatorial methods and an acquaintance with basic graph theory. The book is based on the NSF-CBMS Regional Conference on Graph Theory held at Emory University in June, 1984.
Author: Lowell W. Beineke
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 320
Get Book Here
Book Description
Author: Carl Feghali
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Damon John Gulczynski
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 24
Get Book Here
Book Description
Author: Jonathan L Gross
Publisher: CRC Press
ISBN: 1000884066
Category : Mathematics
Languages : en
Pages : 526
Get Book Here
Book Description
The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences. Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level. The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material. Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.
