The greatest values for atom-bond sum-connectivity index of graphs with given parameters
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- The greatest values for atom-bond sum-connectivity index of graphs with given parameters
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Maximum atom-bond connectivity index with given graph parameters
The atom-bond connectivity (ABC) index is a degree-based topological index. It was introduced due to its applications in modeling the properties of certain molecular structures and has been since extensively studied. In this note, we examine the ...
On Harary index of graphs
The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. For a connected graph G=(V,E) and two nonadjacent vertices v"i and v"j in V(G) of G, recall that G+v"iv"j is the supergraph formed ...
On atom-bond connectivity index of connected graphs
The atom-bond connectivity (ABC) index of a graph G is defined as ABC(G)=@?uv@?E(G)d"u+d"v-2d"ud"v, where E(G) is the edge set and d"u is the degree of vertex u of G. We give an upper bound for the ABC index of connected graphs with fixed number of ...
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Elsevier Science Publishers B. V.
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