논문KCI 등재
Trees, unicyclic graphs extremal with respect to Kekule index
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For a molecular graph G with vertex set V(G) and edge set E(G), recently Lavanya, [1] introduced a new topologial index, the Kekule index is defined as (formula) where, (formula) and i and j are the degrees of the vertices u and v respectively. In this paper, we characterize the trees and unicyclic graphs extremal with respect to Kekule index.
Abstract
For a molecular graph G with vertex set V(G) and edge set E(G), recently Lavanya, [1] introduced a new topologial index, the Kekule index is defined as (formula) where, (formula) and i and j are the degrees of the vertices u and v respectively. In this paper, we characterize the trees and unicyclic graphs extremal with respect to Kekule index.
참고문헌 (12)
- K.Lavanya Lakshmi, "A highly correlated topological index for Polyacenes", Journal of Experimental Sciences (2012)
- H. Deng, "A Unified Approach to the extremal Zagreb indices for trees, unicyclic graphs and bicyclic graphs", MATCH Commun. Math. Comput. Chem, 57, pp.597~616 (2007)
- Ranjini. P. S, "The Smarandache-Zagreb Indices on the Three Graph Operators", Int. J. Math. Combin, 3, pp.1~10 (2010)
- P. S. Ranjini, "The Wiener Polynomial for the Subdivision Graphs", Chineese Journal of Engineering mathematics, 28(3), pp.3~11 (2011)
- P. S. Ranjini, "On the Zagreb Indices of the Line Graphs of the Subdivision Graphs", Appl. Math. Comput, pp.1~5 (2011)
- Xinli Xu, "Relationships between Harmonic Index and other Topological Indices", Applied Mathematical Sciences, 6(41), pp.2013~2018 (2012)
- R. Todeschini, "New local vertex invarients and molecular descriptors based on functions of the vertex degrees", MATCH Commun. Math. Comput. Chem, 64, pp.359~372 (2010)
- R. Todeschini, "HandBook of Molecular Descriptors" (2000), Wiley −VCH
- I. Gutman, "Multiplicative Zagreb indices of Trees", Bull. Soc. Math. Banja Luka, 18, pp.17~23 (2011)
- Kexiang Xu, "A Unified approach to Extremal Multiplicative zagreb indices for trees", Unicyclic and Bicyclic graphs, MATCH Commun. Math. Comput. Chem, 68, pp.241~256 (2012)
- Kexiang Xu, "Das, Trees, Unicyclic and Bicyclic Graphs extremal with respect to multiplicative sum Zagreb index", MATCH Commun. Math. Comput. Chem, 68, pp.241~256 (2012)
- M. Eliasi, "Multiplicative version of first Zagreb index", MATCH Commun. Math. Comput. Chem, 68, pp.217~230 (2012)
관련 논문AI추천
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