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EXTREMAL CHEMICAL TREES WITH RESPECT TO HYPER-ZAGREB INDEX

Ali Reza Ashrafi|Ali Ghalavand|Reza Sharafdini|Ottorino Ori
한국수학교육학회|2019.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제26권 제3호|pp. 177-188|DOI https://doi.org/10.7468/jksmeb.2019.26.3.177

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참고문헌

키워드

extremal problemschemical treehyper-Zagrebgraph operation.
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초록

‎Suppose G is a molecular graph with edge set E(G)‎. ‎The Hyper-Zagreb index of G is defined as $ HM(G)=sum_{uv\in E(G)}[deg_{G}(u)‎ + ‎deg_{G}(v)]^2$‎, ‎where $deg_G(u)$ is the degree of a vertex u in G‎. ‎In this paper‎, ‎we characterize the chemical trees of order $n=> 12$ with the first twenty smallest Hyper-Zagreb index‎ are characterized.

Abstract

‎Suppose G is a molecular graph with edge set E(G)‎. ‎The Hyper-Zagreb index of G is defined as $ HM(G)=sum_{uv\in E(G)}[deg_{G}(u)‎ + ‎deg_{G}(v)]^2$‎, ‎where $deg_G(u)$ is the degree of a vertex u in G‎. ‎In this paper‎, ‎we characterize the chemical trees of order $n=> 12$ with the first twenty smallest Hyper-Zagreb index‎ are characterized.

참고문헌 (22)

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