On tricyclic graphs with maximum atom-bond sum-connectivity index

被引：4
作者：
Noureen, Sadia [1 ]
Batool, Rimsha [1 ]
Albalahi, Abeer M. [2 ]
Shang, Yilun [3 ]
Alraqad, Tariq [2 ]
Ali, Akbar [2 ]
机构：
[1] Univ Gujrat, Fac Sci, Dept Math, Gujrat, Pakistan
[2] Univ Hail, Coll Sci, Dept Math, Hail, Saudi Arabia
[3] Northumbria Univ, Dept Comp & Informat Sci, Newcastle NE1 8ST, England
来源：
HELIYON | 2024年 / 10卷 / 14期
关键词：
Tricyclic graphs; Topological index; Extremal graph theory; Atom-bond sum-connectivity index; TREES;
D O I：
10.1016/j.heliyon.2024.e33841
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The sum-connectivity, Randi & cacute;, and atom-bond connectivity indices have a prominent place among those topological indices that depend on the graph's vertex degrees. The ABS (atom-bond sumconnectivity) index is a variant of all the aforementioned three indices, which was recently put forward. Let T(pi) be the class of all connected tricyclic graphs of order pi . Recently, the problem of determining graphs from T(pi) having the least possible value of the ABS index was solved in (Zuo et al., 2024 [39]) for the case when the maximum degree of the considered graphs does not exceed 4. The present paper addresses the problem of finding graphs from T(pi) having the largest possible value of the ABS index for pi >= 5 .
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页数：10
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