Permanental polynomials of graphs
β Scribed by Russell Merris; Kenneth R. Rebman; William Watkins
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 819 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The tension polynomial F G (k) of a graph G, evaluating the number of nowhere-zero Z k -tensions in G, is the nontrivial divisor of the chromatic polynomial G (k) of G, in that G (k) ΒΌ k c(G) F G (k), where c(G) denotes the number of components of G. We introduce the integral tension polynomial I G
This paper introduces two kinds of graph polynomials, clique polynomial and independent set polynomial. The paper focuses on expansions of these polynomials. Some open problems are mentioned.
Computational algorithms are described which provide for constructing the set of associated edgeweighted directed graphs such that the average of the characteristic polynomials of the edge-weighted graphs gives the matching polynomial of the parent graph. The weights were chosen to be unities or pur