On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most k

Guifu Su; Liming Xiong; Lan Xu; Beibei Ma

doi:10.2298/FIL1104075S

On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most k

Guifu Su^*, Liming Xiong, Lan Xu, Beibei Ma

^*Corresponding author for this work

School of Mathematics and Statistics

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

24 Citations (Scopus)

Abstract

The authors Miličević et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.

Original language	English
Pages (from-to)	75-83
Number of pages	9
Journal	Filomat
Volume	25
Issue number	4
DOIs	https://doi.org/10.2298/FIL1104075S
Publication status	Published - Dec 2011

Keywords

Connectivity
Maximum and minimum
The first reformulated Zagreb index

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10.2298/FIL1104075S

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title = "On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most k",

abstract = "The authors Mili{\v c}evi{\'c} et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.",

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AU - Su, Guifu

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AU - Xu, Lan

AU - Ma, Beibei

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AB - The authors Miličević et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.

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KW - Maximum and minimum

KW - The first reformulated Zagreb index

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DO - 10.2298/FIL1104075S

M3 - Article

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On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most k

Abstract

Keywords

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