Sum-connectivity index of a graph
Sum-connectivity index of a graph
摘要
Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sure,connectivity index of the graph G is defined as χ（G） =∑vivj∈E（G）（di＋dj）-1/2.We discuss the effect onχ（G）of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randid index.
Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sure,connectivity index of the graph G is defined as χ（G） =∑vivj∈E（G）（di＋dj）-1/2.We discuss the effect onχ（G）of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randid index.
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