Open AccessMean value for the matching and dominating polynomial
Author(s) -
Jorge L. Arocha,
Bernardo Llano
Publication year - 2000
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1106
Subject(s) - mathematics , combinatorics , value (mathematics) , matching (statistics) , discrete mathematics , statistics
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.
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