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Matching polynomials: A matrix approach and its applications

✍ Scribed by E.J. Farrell; S.A. Wahid

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 426 KB
Volume: 322
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(86)90072-4

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✦ Synopsis

A new approach is formuiatedfor the matching polynomial m(G) of a graph G. A matrix A(G) is associated with G. A certain function de$ned on A(G) yields the matching polynomial of G. This approach leads to a simple characterization of m(G). It also facilitates a technique for constructing graphs with a given matching polynomial.

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