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
β¦ LIBER β¦
Imminant polynomials of graphs
β Scribed by K. Balasubramanian
- Book ID
- 105077074
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 537 KB
- Volume
- 85
- Category
- Article
- ISSN
- 1432-2234
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Polynomials on graphs
β
Paul M. Weichsel
π
Article
π
1987
π
Elsevier Science
π
English
β 462 KB
Chain polynomials of graphs
β
Ronald C. Read
π
Article
π
2003
π
Elsevier Science
π
English
β 221 KB
Permanental polynomials of graphs
β
Russell Merris; Kenneth R. Rebman; William Watkins
π
Article
π
1981
π
Elsevier Science
π
English
β 819 KB
Tension polynomials of graphs
β
Martin Kochol
π
Article
π
2002
π
John Wiley and Sons
π
English
β 104 KB
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
Mehler formulae for matching polynomials
β
Bodo Lass
π
Article
π
2012
π
Elsevier Science
π
English
β 190 KB
Clique polynomials and independent set p
β
Cornelis Hoede; Xueliang Li
π
Article
π
1994
π
Elsevier Science
π
English
β 492 KB
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.