The Hosoya indices and Merrifield–Simmons indices of graphs with connectivity at most
✍ Scribed by Kexiang Xu; Jianxi Li; Lingping Zhong
- Book ID
- 113449294
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 224 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
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a b s t r a c t For a (molecular) graph, the first Zagreb index M 1 is equal to the sum of squares of the vertex degrees, and the second Zagreb index M 2 is equal to the sum of the products of degrees of pairs of adjacent vertices. In this paper, we study the Zagreb indices of graphs of order n with
The Hosoya index and the Merrifield-Simmons index of a graph are defined as the total number of the matchings (including the empty edge set) and the total number of the independent vertex sets (including the empty vertex set) of the graph, respectively. Let W n,k be the set of connected graphs with