Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs | Zendy

Muhammad Rizwan | Zendy; Akhlaq Ahmad Bhatti | Zendy; Muhammad Javaid | Zendy; Ebenezer Bonyah | Zendy

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Extremal Values of Variable Sum Exdeg Index for Conjugated Bicyclic Graphs

Author(s) -

Muhammad Rizwan,

Akhlaq Ahmad Bhatti,

Muhammad Javaid,

Ebenezer Bonyah

Publication year - 2021

Publication title -

journal of chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.436

H-Index - 50

eISSN - 2090-9063

pISSN - 2090-9071

DOI - 10.1155/2021/4272208

Subject(s) - combinatorics , matching (statistics) , graph , vertex (graph theory) , mathematics , bicyclic molecule , discrete mathematics , chemistry , stereochemistry , statistics

A connected graph G V , E in which the number of edges is one more than its number of vertices is called a bicyclic graph. A perfect matching of a graph is a matching in which every vertex of the graph is incident to exactly one edge of the matching set such that the number of vertices is two times its matching number. In this paper, we investigated maximum and minimum values of variable sum exdeg index, SEI a for bicyclic graphs with perfect matching for k ≥ 5 and a > 1 .

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