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Matching Extension and the Genus of a Graph.

Author: Michael D Plummer; VANDERBILT UNIV NASHVILLE TN Dept. of MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center MAR 1986.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
Let G be a graph with p points having a perfect matching and suppose n is a positive integer with n <or = (p-2)/2. Then G is n-extendable if every matching in G containing n lines is a subset of a perfect matching. In this paper we obtain an upper bound on the n-extendability of a graph in terms of its genus. Keywords: Euler contributions; Theorems. (Author).
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Document Type: Book
All Authors / Contributors: Michael D Plummer; VANDERBILT UNIV NASHVILLE TN Dept. of MATHEMATICS.
OCLC Number: 227673407
Description: 38 pages

Abstract:

Let G be a graph with p points having a perfect matching and suppose n is a positive integer with n <or = (p-2)/2. Then G is n-extendable if every matching in G containing n lines is a subset of a perfect matching. In this paper we obtain an upper bound on the n-extendability of a graph in terms of its genus. Keywords: Euler contributions; Theorems. (Author).

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