Title of article :
On Sum-Connectivity Index of Bicyclic Graphs
Author/Authors :
Du, Zhibin South China Normal University - Department of Mathematics, China , Zhou, Bo South China Normal University - Department of Mathematics, China
Abstract :
The sum-connectivity index is a new variant of the famous Randic connectivity index usable in quantitative structure-property relationship and quantitative structure-activity relationship studies. We determine the minimum sum-connectivity index of bicyclic graphs with n vertices and matching number m, where 2≤m≤[n/2], the minimum and the second minimum, as well as the maximum and the second maximum sum-connectivity indices of bicyclic graphs with n≥5 vertices. The extremal graphs are characterized.
Keywords :
Sum , connectivity index , Randic connectivity index , product , connectivity index , bicyclic graphs , matching number , extremal graphs.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
