期刊
MATHEMATICS
卷 6, 期 9, 页码 -出版社
MDPI
DOI: 10.3390/math6090153
关键词
eccentric connective index; connective eccentric index; eccentric Zagreb index; the octagonal grid
类别
资金
- Applied Basic Research (Key Project) of the Sichuan Province [2017JY0095]
- Sichuan Provincial Department of Education [17ZA0079, 18ZA0118]
- Soft Scientific Research Foundation of Sichuan Provincial Science and Technology Department [18RKX1048]
Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard to anti-inflammatory activity, for a dataset consisting of 76 pyrazole carboxylic acid hydrazide analogs. The eccentricity # v of vertex v in a graph G is the distance between v and the vertex furthermost from v in a graph G. The distance between two vertices is the length of a shortest path between those vertices in a graph G. In this paper, we consider the Octagonal Grid Om n. We compute Connective Eccentric index C x ( G) = a v 2 V ( G) dv/ # v, Eccentric Connective Index x( G) = a v 2 V ( G) dv # v and eccentric Zagreb index of Octagonal Grid Om n, where dv represents the degree of the vertex v in G.
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