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ArticleOriginal scientific text

Title

Mean value for the matching and dominating polynomial

Authors 1, 1

Affiliations

  1. Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México, D.F. 04510

Abstract

The mean value of the matching polynomial is computed in the family of all labeled graphs with n vertices. We introduce the dominating polynomial of a graph whose coefficients enumerate the dominating sets for a graph and study some properties of the polynomial. The mean value of this polynomial is determined in a certain special family of bipartite digraphs.

Keywords

ENG
matching, matching polynomial, dominating set

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Discussiones Mathematicae Graph Theory
2000/20/1
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Pages:
57-69
Main language of publication
English
Received
1999-02-03
Accepted
1999-05-06
Published
2000

DOI: 10.7151/dmgt.1106

Exact and natural sciences