On a class of polynomials associated with the paths in a graph and its application to minimum nodes disjoint path coverings of graphs

Let G be a graph. With every path α of G let us associate a weight wα With every spanning subgraph C of G consisting of paths α1,α2,…,αk, let us associate the weight w(C)=∏i=1kwαi. The path polynomial of G is ∑w(C), where the summation is taken over all the spanning subgraphs of G whose components a...

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Bibliographic Details
Main Author: E. J. Farrell
Format: Article
Language:English
Published: Hindawi Limited 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000617