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＜電子ブック＞
A Textbook of Graph Theory / by R. Balakrishnan, K. Ranganathan
(Universitext. ISSN:21916675)

版	2nd ed. 2012.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	XIII, 292 p. 204 illus : online resource
著者標目	*Balakrishnan, R author Ranganathan, K author SpringerLink (Online service)
件　名	LCSH:Graph theory FREE:Graph Theory
一般注記	Preface to the Second Edition -- Preface to the First Edition -- 1 Basic Results -- 2 Directed Graphs -- 3 Connectivity -- 4 Trees -- 5 Independent Sets and Matchings -- 6 Eulerian and Hamiltonian Graphs -- 7 Graph Colorings -- 8 Planarity -- 9 Triangulated Graphs -- 10 Domination in Graphs -- 11 Spectral Properties of Graphs -- Bibliography -- Index Graph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This textbook provides a solid background in the basic topics of graph theory, and is intended for an advanced undergraduate or beginning graduate course in graph theory. This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism. This book also introduces several interesting topics such as Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs HTTP:URL=https://doi.org/10.1007/978-1-4614-4529-6

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