zer/Remmel on computability and stable marriage; * a new section on Konig's Duality theorem, including work of Aharoni (set theory) and Simpson (computability / reverse mathematics); * a new section on transfinite recursion and transfinite induction with an appropriate application to graph theory....
Combinatorics and Graph Theory packs an immense amount in, offering largely self-contained introductions to both graph theory and combinatorics along with a shorter look at infinite combinatorics. This introduces the reader to two of the more intuitive and immediate areas of mathematics and gives them...
The Graph Theory and Algebraic Combinatorics Conference (GTACC) is a conference that is organized every year. The aim of this conference is to exchange research ideas among the algebraic combinatorics and graph theory. In addition, specialists in the subject of graph theory and combinatorics can pre...
Combinatorics and Graph Theory 作者: Jeffry L·Hirst / Michael Mossinghoff / John Harris 出版社: Springer出版年: 2008-9-19页数: 381定价: USD 54.95装帧: Hardcover丛书: Undergraduate Texts in MathematicsISBN: 9780387797106豆瓣评分 评价人数不足 ...
This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living...
首先,当顶点数给定时,triangle-free graph最多有几条边。这就是Mantel定理。第一种思路是发现相邻点的邻域不交,因此d(x)+d(y)有上界,加总得到边数上界。第二种思路是发现某点的邻域是独立集,于是取最大度的顶点来全局估计。 进一步地,我们会思考给定顶点数和边数时能否对三角形数给出一个下界。不涉及具体...
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Combinatorics and Graph Theory A walk through combinatorics : an introduction to enumeration and graph theory Miklós Bóna World Scientific, c2011 3rd ed 被引量: 0发表: 0年 Applications of combinatorics and graph theory to the biological and social sciences The articles of this volume will be re...
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments...
‘Yufei Zhao’s book is a wonderful book about graph theory, additive combinatorics, and their surprising connections involving a major theme of modern mathematics: the interplay between structure and randomness. In both areas, the book can take the curious reader, whether an advanced undergraduate ...