A generalization of the dichromatic polynomial of a graph

The Subgraph polynomial fo a graph pair (G,H), where H⫅G, is defined. By assigning particular weights to the variables, it is shown that this polynomial reduces to the dichromatic polynomial of G. This idea of a graph pair leads to a dual generalization of the dichromatic polynomial.

Bibliographic Details
Main Author: E. J. Farrell
Format: Article
Language:English
Published: Hindawi Limited 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000550