Appropriate for one- or two-semester, junior- to senior-level combinatorics courses. This trusted best-seller covers the key combinatorial ideas--including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence ...
In this book, the authors present the diffuse body of literature on sign-solvability as a coherent whole, giving many new results and proofs and establishing many new connections. They describe and comment on algorithms implicit in many of the proofs and their complexity. A familiarity with elementary linear algebra and graph theory are necessary ...
This is the first book devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves. There are ...
A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance. Several classes of matrices are thoroughly ...
Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this book uses graphs to explain basic matrix construction, formulas, computations, ideas, and results. It presents material rarely found in other books at this level and describes several applications of matrices in electrical engineering, ...
Volume 1, "Algebraic Coding", deals with the algebraic structure of error correcting codes. Volume 2, "Connections/Applications" covers links between coding theory and other branches of mathematics and computer science and describes a variety of uses for coding.
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