ON REVISED SZEGED SPECTRUM OF A GRAPH

چکیده مقاله

The revised Szeged index is a molecular structure descriptor equal to the sum of products [n u (e ) + n 0(e) 2 ][n v (e ) + n 0(e) 2 ] over all edges e = uv of the molecular graph G, where n 0 (e ) is the number of vertices equidistant from u and v , n u (e ) is the number of vertices closer to u than v and n v (e ) is defined analogously. The adjacency matrix of a graph weighted in this way is called its revised Szeged matrix and the set of its eigenvalues is the revised Szeged spectrum of G. In this paper some new results on the revised Szeged spectrum of graphs are presented.