A Walk Through Combinatorics:An Introduction to Enumeration and Graph Theory (2nd Edition)

图书简介

This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course. Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and gra

Basic Methods: Seven Is More Than Six. The Pigeon-Hole Principle; One Step at a Time. The Method of Mathematical Induction; Enumerative Combinatorics: There Are a Lot of Them. Elementary Counting Problems; No Matter How You Slice It. The Binomial Theorem and Related Identities; Divide and Conquer. Partitions; Not So Vicious Cycles. Cycles in Permutations; You Shall Not Overcount. The Sieve; A Function is Worth Many Numbers. Generating Functions; Graph Theory: Dots and Lines. The Origins of Graph Theory; Staying Connected. Trees; Finding a Good Match. Coloring and Matching; Do Not Cross. Planar Graphs; Horizons: Does It Clique? Ramsey Theory; So Hard to Avoid. Subsequence Conditions on Permutations; Who Knows What It Looks Like, but It Exists. The Probabilistic Method; At Least Some Order. Partial Orders and Lattices; The Sooner The Better. Combinatorial Algorithms; Does Many Mean More Than One? Computational Complexity.

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A Walk Through Combinatorics:An Introduction to Enumeration and Graph Theory (2nd Edition) 组合数学初阶:枚举与图论导论,第二版 组合数学

A Walk Through Combinatorics:An Introduction to Enumeration and Graph Theory (2nd Edition)

组合数学初阶:枚举与图论导论,第二版
组合数学