Graphs with given number of cut vertices and extremal Merrifield–Simmons index
✍ Scribed by Hongbo Hua; Shenggui Zhang
- Book ID
- 108112928
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 345 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
The energy of a graph G, denoted by E(G), is defined to be the sum of absolute values of all eigenvalues of the adjacency matrix of G. Let G(n, l, p) denote the set of all unicyclic graphs on n vertices with girth and pendent vertices being l ( 3) and p ( 1), respectively. More recently, one of the
This note presents a solution to the following problem posed by Chen, Schelp, and Soltés: find a simple graph with the least number of vertices for which only the degrees of the vertices that appear an odd number of times are given.