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arXiv · 1210.5043

Sum-connectivity indices of trees and unicyclic graphs of fixed maximum degree

Zhibin Du·Bo Zhou·Nenad Trinajstic
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Abstract

We obtain the maximum sum-connectivity indices of graphs in the set of trees and in the set of unicyclic graphs respectively with given number of vertices and maximum degree, and determine the corresponding extremal graphs. Additionally, we deduce the n-vertex unicyclic graphs with the first two maximum sum-connectivity indices for $n\ge 4$.

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Zhibin Du, Bo Zhou, Nenad Trinajstic. 2012-10-18. Sum-connectivity indices of trees and unicyclic graphs of fixed maximum degree. https://arxiv.org/abs/1210.5043

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