Sharp upper bounds for augmented zagreb index of graphs with fixed parameters

Fengwei Li; Qingfang Ye; Hajo Broersma; Ruixuan Ye

Sharp upper bounds for augmented zagreb index of graphs with fixed parameters

Fengwei Li^*, Qingfang Ye, Hajo Broersma, Ruixuan Ye

^*Corresponding author for this work

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

3 Citations (Scopus)

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Abstract

The augmented Zagreb index (AZI index) is a degree-based molecular structure descriptor that can be used for modelling thermodynamic properties of organic chemical compounds. Motivated by its applicable potential, a series of investigations have been carried out in the past several years. In this paper, we present several sharp upper bounds on the AZI index of graphs with _xed parameters such as the independence number, edge-connectivity, chromatic number respectively, and characterize the corresponding extremal graphs.

Original language	English
Pages (from-to)	257-274
Number of pages	18
Journal	Match
Volume	85
Issue number	2
Publication status	Published - 2021

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title = "Sharp upper bounds for augmented zagreb index of graphs with fixed parameters",

abstract = "The augmented Zagreb index (AZI index) is a degree-based molecular structure descriptor that can be used for modelling thermodynamic properties of organic chemical compounds. Motivated by its applicable potential, a series of investigations have been carried out in the past several years. In this paper, we present several sharp upper bounds on the AZI index of graphs with _xed parameters such as the independence number, edge-connectivity, chromatic number respectively, and characterize the corresponding extremal graphs.",

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T1 - Sharp upper bounds for augmented zagreb index of graphs with fixed parameters

AU - Li, Fengwei

AU - Ye, Qingfang

AU - Broersma, Hajo

AU - Ye, Ruixuan

PY - 2021

Y1 - 2021

N2 - The augmented Zagreb index (AZI index) is a degree-based molecular structure descriptor that can be used for modelling thermodynamic properties of organic chemical compounds. Motivated by its applicable potential, a series of investigations have been carried out in the past several years. In this paper, we present several sharp upper bounds on the AZI index of graphs with _xed parameters such as the independence number, edge-connectivity, chromatic number respectively, and characterize the corresponding extremal graphs.

AB - The augmented Zagreb index (AZI index) is a degree-based molecular structure descriptor that can be used for modelling thermodynamic properties of organic chemical compounds. Motivated by its applicable potential, a series of investigations have been carried out in the past several years. In this paper, we present several sharp upper bounds on the AZI index of graphs with _xed parameters such as the independence number, edge-connectivity, chromatic number respectively, and characterize the corresponding extremal graphs.

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SN - 0340-6253

VL - 85

SP - 257

EP - 274

JO - Match

JF - Match

IS - 2

ER -

Sharp upper bounds for augmented zagreb index of graphs with fixed parameters

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