On alternative form of the characteristic polynomial and the problem of graph recognition
✍ Scribed by Milan Randić
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 628 KB
- Volume
- 62
- Category
- Article
- ISSN
- 1432-2234
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Several unique advantages of the Le Verrier-Fadeev-Frame method for the characteristic polynomials of graphs over the method proposed by Zivkovic recently based on the Givens-Householder method are described. It is shown that the Givens-Householder method proposed by Zivkovic, by itself fails for di
In this short paper, we present a solution to Gutman's problem on the characteristic polynomial of a bipartite graph (Research Problem 134, Discrete Math. 88 (1991)). In [2] I. Gutman proposed a research problem which is stated as follows. The matchings polynomial of a graph G is defined by cl(G,x)