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＜電子ブック＞
A First Course in Graph Theory and Combinatorics : Second Edition / by Sebastian M. Cioabă, M. Ram Murty
(Texts and Readings in Mathematics. ISSN:23668725 ; 55)

版	2nd ed. 2022.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2022
本文言語	英語
大きさ	XV, 222 p. 61 illus : online resource
著者標目	*Cioabă, Sebastian M author Murty, M. Ram author SpringerLink (Online service)
件　名	LCSH:Graph theory LCSH:Group theory FREE:Graph Theory FREE:Group Theory and Generalizations
一般注記	Chapter 1. Basic Graph Theory -- Chapter 2. Basic Counting -- Chapter 3. The Principle of Inclusion and Exclusion -- Chapter 4. Graphs and Matrices -- Chapter 5. Trees -- Chapter 6. M¨obius Inversion and Graph Colouring -- Chapter 7. Enumeration under Group Action -- Chapter 8. Matching Theory -- Chapter 9. Block Designs -- Chapter 10. Planar Graphs -- Chapter 11. Edges and Cycles -- Chapter 12. Expanders and Ramanujan Graphs -- Chapter 13. Hints 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 in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level HTTP:URL=https://doi.org/10.1007/978-981-19-0957-3

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