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

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arxiv 1210.5043 v1 pith:4W4TMBVQ submitted 2012-10-18 math.CO

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

classification math.CO
keywords graphsmaximumindicessum-connectivityunicyclicdegreetreesadditionally
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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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