This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matchings,
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...
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 Mathematics ISBN:9780387797106 豆瓣评分 评价人数不足 内容简介· ··· These...
The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory.In publishing this volume, the ...
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接着我们考虑这些三角形分布是否均匀,即是否有一条边拥有很多三角形。这就是Erdös提出的booksize问题。 因为Mantel定理等号成立条件是二部图,我们可以对此提出几个问题。 首先,如果triangle-free graph不是二部图,它所含边数上界是否更小?非二部图性导致相邻顶点的度数和更小了。对极限情况分析,我们不难发现如下...
The concept of a graph is fundamental in mathematics since it conveniently encodes diverse relations and facilitates combinatorial analysis of many complicated counting problems. In this book, the authors have traced the origins of graph theory from its humble beginnings of recreational mathematics to ...
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their ...
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their ...
Part One Graph Theory 1 Chapter 1 Elements of Graph Theory 3 1.1 Graph Models 3 1.2 Isomorphism 14 1.3 Edge Counting 24 1.4 Planar Graphs 31 1.5 Summary and References 44 Supplementary Exercises 45 Chapter 2 Covering Circuits and Graph Coloring 49 2.1 Euler Cycles 49 2.2 Hamilton Circuits 56 ...