Table of Contents
ISRN Algebra
Volume 2011 (2011), Article ID 193560, 10 pages
http://dx.doi.org/10.5402/2011/193560
Research Article

Graph Polynomials

Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran

Received 23 May 2011; Accepted 5 July 2011

Academic Editor: M. Przybylska

Copyright © 2011 Mehdi Alaeiyan and Saeid Mohammadian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

One of the most important and applied concepts in graph theory is to find the edge cover, vertex cover, and dominating sets with minimum cardinal also to find independence and matching sets with maximum cardinal and their polynomials. Although there exist some algorithms for finding some of them (Kuhn and Wattenhofer, 2003; and Mihelic and Robic, 2005), but in this paper we want to study all of these concepts from viewpoint linear and binary programming and we compute the coefficients of the polynomials by solving a system of linear equations with { 0 , 1 } variables.