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＜電子ブック＞
Magic Graphs / by Alison M. Marr, W.D. Wallis

版	2nd ed. 2013.
出版者	(New York, NY : Springer New York : Imprint: Birkhäuser)
出版年	2013
本文言語	英語
大きさ	XVI, 188 p : online resource
著者標目	*Marr, Alison M author Wallis, W.D author SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Mathematics FREE:Discrete Mathematics FREE:Discrete Mathematics in Computer Science FREE:Applications of Mathematics
一般注記	Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: ·         a new chapter on magic labeling of directed graphs ·         applications of theorems from graph theory and interesting counting arguments ·         new research problems and exercises covering a range of difficulties ·         a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher HTTP:URL=https://doi.org/10.1007/978-0-8176-8391-7

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