The (a, b)-Status Index of Exponential Domination Graphs

Abstract

The sum of degree between  and all other vertices of a connected graph determines the status of a vertex . The (a, b)-status index of exponential domination graphs is analyzed and discussed. The (a, b)-status index of path, cycle, complete graph, and complete bipartite graphs is also computed. We also compute precise formulas for path, cycle, complete graph, and complete bipartite graphs, as well as the -status index, first and second status Gourava indices, and symmetric division status index of a graph.