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On general Randić indices. (English) Zbl 1193.92089
Let α be a real number. The general Randić index of a graph G is defined as R α (G)= ij (d i d j ) α , where d i denotes the degree of the vertex i in G, and summation goes over all pairs of adjacent vertices i,j. The authors investigate bounds for R α (G) in the case when |α|>1 and obtain some new results. (The case |α|1 has already been studied in the literature.)
MSC:
92E10Molecular structures
05C90Applications of graph theory