Chain polynomials of graphs
β Scribed by Ronald C. Read
- Book ID
- 108315812
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 221 KB
- Volume
- 265
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Let G be a simple graph with adjacency matrix A, and p(x) a polynomial with rational coefficients. If p(A) is the adjacency matrix of a graph, we denote that graph by p(G). We consider the question: Given a graph 6, which polynomials p(r) give rise to a graph p(G) and what are those graphs? We give
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