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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Handbook of Combinatorics Volume 1 (Hardcover)
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Handbook of Combinatorics Volume 1 (Hardcover)
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Handbook of Combinatorics, Volume 1 focuses on basic methods,
paradigms, results, issues, and trends across the broad spectrum of
combinatorics. The selection first elaborates on the basic graph
theory, connectivity and network flows, and matchings and
extensions. Discussions focus on stable sets and claw free graphs,
nonbipartite matching, multicommodity flows and disjoint paths,
minimum cost circulations and flows, special proof techniques for
paths and circuits, and Hamilton paths and circuits in digraphs.
The manuscript then examines coloring, stable sets, and perfect
graphs and embeddings and minors. The book takes a look at random
graphs, hypergraphs, partially ordered sets, and matroids. Topics
include geometric lattices, structural properties, linear
extensions and correlation, dimension and posets of bounded degree,
hypergraphs and set systems, stability, transversals, and
matchings, and phase transition. The manuscript also reviews the
combinatorial number theory, point lattices, convex polytopes and
related complexes, and extremal problems in combinatorial geometry.
The selection is a valuable reference for researchers interested in
combinatorics.
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