Dominating Sets and Domination Polynomials of Graphs

This thesis introduces domination polynomial of a graph. The domination polynomial of a graph G of order n is the polynomial D(G; x) = Pn i=°(G) d(G; i)xi, where d(G; i) is the number of dominating sets of G of size i, and °(G) is the domination number of G. We obtain some properties of this pol...

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Bibliographic Details
Main Author: Alikhani, Saeid
Format: Thesis
Language:English
English
Published: 2009
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/7250/1/IPM_2009_7a.pdf
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