Extremal polyomino chains with respect to general sum-connectivity index

Mingqiang An; Liming Xiong

Extremal polyomino chains with respect to general sum-connectivity index

Mingqiang An^*, Liming Xiong

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For a (molecular) graph G, the general sum-connectivity index Xα(G) is defined as the sum of the weights [d_u + d_v]^αof all edges uv of G, where du (or d_v) denotes the degree of a vertex u (or v) in G and α is an arbitrary real number. In this paper, we give an efficient formula for computing the general sum-connectivity index of polyomino chains and characterize the extremal polyomino chains with respect to this index, which generalizes one of the main results in [Z. Yarahmadi, A. Ashrafi, S. Moradi, Extremal polyomino chains with respect to Zagreb indices, Appl. Math. Lett. 25 (2012): 166-171],.

Original language	English
Pages (from-to)	255-271
Number of pages	17
Journal	Ars Combinatoria
Volume	131
Publication status	Published - Jan 2017

Keywords

General sum-connectivity index
Polyomino chain

Cite this

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abstract = "For a (molecular) graph G, the general sum-connectivity index Xα(G) is defined as the sum of the weights [du + dv]αof all edges uv of G, where du (or dv) denotes the degree of a vertex u (or v) in G and α is an arbitrary real number. In this paper, we give an efficient formula for computing the general sum-connectivity index of polyomino chains and characterize the extremal polyomino chains with respect to this index, which generalizes one of the main results in [Z. Yarahmadi, A. Ashrafi, S. Moradi, Extremal polyomino chains with respect to Zagreb indices, Appl. Math. Lett. 25 (2012): 166-171],.",

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AU - Xiong, Liming

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AB - For a (molecular) graph G, the general sum-connectivity index Xα(G) is defined as the sum of the weights [du + dv]αof all edges uv of G, where du (or dv) denotes the degree of a vertex u (or v) in G and α is an arbitrary real number. In this paper, we give an efficient formula for computing the general sum-connectivity index of polyomino chains and characterize the extremal polyomino chains with respect to this index, which generalizes one of the main results in [Z. Yarahmadi, A. Ashrafi, S. Moradi, Extremal polyomino chains with respect to Zagreb indices, Appl. Math. Lett. 25 (2012): 166-171],.

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JO - Ars Combinatoria

JF - Ars Combinatoria

ER -

Extremal polyomino chains with respect to general sum-connectivity index

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Keywords

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