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Tag: Combinatorics

Introduction To Combinatorics and Graph Theory

Many facts and problems in mathematics, computer science, and engineering are most easily stated in terms of five combinatorial structures:1. Graphs, 2. Directed graphs, 3. Partially ordered sets, 4. Simplicial complexes, 5. Matroids. We will devote one chapter to each Read more…


Advanced Combinatorics (The Art of Finite and Infinite Expansions)

Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Certain classical aspects have been passed by, and the true title ought to be “Various questions of elementary combinatorial analysis”. For instance, Read more…


Combinatorics of Permutations

A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Read more…


Introduction to Enumerative Combinatorics (The Walter Rudin Student Series in Advanced Mathematics)

Written by one of the leading authors and researchers in the field, this comprehensive modern text offers a strong focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklos Bona’s text fills Read more…


A Walk Through Combinatorics (An Introduction to Enumeration and Graph Theory)

This is a textbook for an introductory combinatorics course lasting 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 Read more…


Discrete Geometry, Combinatorics and Graph Theory

This book constitutes the thoroughly refereed post-proceedings of the 7th China-Japan Conference on Discrete Geometry, Combinatorics and Graph Theory, CJCDGCGT 2005, held in Tianjin, China, as well as in Xi’an, China, in November 2005. The 30 revised full papers address Read more…


A Course in Combinatorics

Combinatorics, a subject dealing with ways of arranging and distributing objects, involves ideas from geometry, algebra, and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and Read more…


Constructive Combinatorics (Undergraduate Texts in Mathematics)

The notes that eventually became this book were written between 1977 and 1985 for the course called Constructive Combinatorics at the University of Minnesota. This is a one-quarter (10 week) course for upper level undergraduate students. The class usually consists Read more…


Matrices in Combinatorics and Graph Theory

Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. This relationship is discussed in my paper The symbiotic relationship of combinatorics and matrix theoryl where I attempted to justify this description. One could say that a more detailed Read more…


Graph Theory and Combinatorics 1988

Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdos, whose Read more…