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matrices in combinatorics and graph theory
Hong-Jian Lai,Bolian Liu (Author)
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· Physical Book
matrices in combinatorics and graph theory - hong-jian lai,bolian liu
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Synopsis "matrices in combinatorics and graph theory"
the first chapter of this book provides a brief treatment of the basics of the subject. the other chapters deal with the various decompositions of non-negative matrices, birkhoff type theorems, the study of the powers of non-negative matrices, applications of matrix methods to other combinatorial problems, and applications of combinatorial methods to matrix problems and linear algebra problems. the coverage of prerequisites has been kept to a minimum. nevertheless, the book is basically self-contained (an appendix provides the necessary background in linear algebra, graph theory and combinatorics). there are many exercises, all of which are accompanied by sketched solutions. audience: the book is suitable for a graduate course as well as being an excellent reference and a valuable resource for mathematicians working in the area of combinatorial matrix theory.
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The book is written in English.
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