Mostar index: Results and perspectives

被引：47
作者：
Ali, Akbar [1 ]
Doslic, Tomislav [2 ]
机构：
[1] Univ Hail, Fac Sci, Dept Math, Hail, Saudi Arabia
[2] Univ Zagreb, Fac Civil Engn, Zagreb, Croatia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 404卷
关键词：
Chemical graph theory; Topological indices; Distance in graphs; Mostar index; Extremal problems in graph theory; Topological coindex; Graph polynomial; Graph spectra; Graph invariants; Meixner polynomial; DISTANCE-BALANCED GRAPHS; HEXAGONAL CHAINS; IRREGULARITY; NETWORKS; TREES; TERMS;
D O I：
10.1016/j.amc.2021.126245
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Mostar index is a recently introduced bond-additive distance-based graph invariant that measures the degree of peripherality of particular edges and of the graph as a whole. It attracted considerable attention, both in the context of complex networks and in more classical applications of chemical graph theory, where it turned out to be useful as a measure of the total surface area of octane isomers and as a tool for studying topological aspects of fullerene shapes. This paper aims to gather some known bounds and extremal results concerning the Mostar index. Also, it presents various modifications and generalizations of the aforementioned index and it outlines several possible directions of further research. Finally, some open problems and conjectures are listed. (c) 2021 Elsevier Inc. All rights reserved.
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页数：19
相关论文
共 77 条
[11]   Relativistic distance-based topological descriptors of Linde type A zeolites and their doped structures with very heavy elements [J].
Arockiaraj, Micheal ;
Clement, Joseph ;
Paul, Daniel ;
Balasubramanian, Krishnan .
MOLECULAR PHYSICS, 2021, 119 (03)
[12]  
Arockiaraj M, 2020, J MOL STRUCT, V1217, DOI [10.1016/j.molstruc.2020.128368, 10.1016/j.molstruc.2020.128766]
[13]   Mostar indices of carbon nanostructures and circumscribed donut benzenoid systems [J].
Arockiaraj, Micheal ;
Clement, Joseph ;
Tratnik, Niko .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2019, 119 (24)
[14]   The Zagreb coindices of graph operations [J].
Ashrafi, A. R. ;
Doslic, T. ;
Hamzeh, A. .
DISCRETE APPLIED MATHEMATICS, 2010, 158 (15) :1571-1578
[15]   EDGE SZEGED INDICES OF BENZENE RING [J].
Baig, Abdul Qudair ;
Naeem, Muhammad ;
Mushtaq, Muhammad ;
Gao, Wei .
KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (03) :613-627
[16]   Equal opportunity networks, distance-balanced graphs, and Wiener game [J].
Balakrishnan, Kannan ;
Bresar, Bostjan ;
Changat, Manoj ;
Klavzar, Sandi ;
Vesel, Aleksander ;
Pletersek, Petra Zigert .
DISCRETE OPTIMIZATION, 2014, 12 :150-154
[17]   Topological Peripheral Shapes and Distance-Based Characterization of Fullerenes C20-C720: Existence of Isoperipheral Fullerenes [J].
Balasubramanian, Krishnan .
POLYCYCLIC AROMATIC COMPOUNDS, 2022, 42 (04) :1649-1667
[18]  
Bienvenu F., 2020, ARXIV201008079V12
[19]  
Bondy J. A., 2008, GRAPH THEORY
[20]   General cut method for computing Szeged-like topological indices with applications to molecular graphs [J].
Brezovnik, Simon ;
Tratnik, Niko .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2021, 121 (06)
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