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Matching Polynomial: Graph Theory, Combinatorics, Generating Function, Matching (Graph Theory), Rook Polynomial, Orthogonal Polynomials -

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2026-04-09
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In graph theory and combinatorics, both fields within mathematics, a matching polynomial (sometimes called an acyclic polynomial) is a generating function of the numbers of matchings of various sizes in a graph. Several different types of matching polynomials have been defined. Let ... Visas aprašymas

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In graph theory and combinatorics, both fields within mathematics, a matching polynomial (sometimes called an acyclic polynomial) is a generating function of the numbers of matchings of various sizes in a graph. Several different types of matching polynomials have been defined. Let G be a graph with n vertices and let mk be the number of k-edge matchings. The first type of matching polynomial is a direct generalization of the rook polynomial. The second type of matching polynomial has remarkable connections with orthogonal polynomials. For instance, if G = Km,n, the complete bipartite graph, then the second type of matching polynomial is related to the generalized Laguerre polynomial Ln¿(x).

Daugiau informacijos

Leidėjas OmniScriptum
Išleidimo metai 2026
Viršelio tipas Minkšti viršeliai
EAN 9786133728080
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168,40 € 224,53 €