THE REVISED EDGE SZEGED INDEX OF BRIDGE GRAPHS

The revised edge Szeged index of a connected graph G is defined as Sz_e*(G)=∑_(e=uvϵ E(G))^(m_u (e|G)+⁡〖(m_0(e|G))/2〗 +⁡〖(m_0(e|G))/2) where E(G) is the edge set of G, m_u (e|G) is the number of edges closer to vertex u than to vertex v in G, m_v(e|G) is the number of edges closer to vertex v than to vertex u in G, and m_0(e|G) is the number of edges equidistant from both ends of e. We give a formula for the revised edge Szeged index of a bridge graph, from which the revised edge Szeged indices for several classes of graphs are calculated.