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Abstract
Topological indices of a graph are real numbers related to a graph which are structural invariant. There is vertex degree based topological indices. This paper extends the concept of topological indices of graph to signed graphs. We compute hyper Zagreb indices, forgotten topological indices, reduced second Zagreb indices of signed graph and first and second Zagreb coindices. This paper also computes the topological indices of signed graphs based on the net degree of the graph and elucidate the formulas relating these topological indices of signed graph to its underlying graph based on both degree and net degree of vertices.