The problem of graph Reachability is to decide whether there is a path from one vertice to another in a given graph . In this paper, we study theReachability problem on three distinct graph families — intersection graphs ofJordan regions, unit contact disk graphs (penny graphs), and chordal graphs . In order to obtain these results, we use the graphseparator of these graphs effectively and design space-efficient algorithms to find such separators . The constructions of the separators presented here can beof independent interest .

Author(s) : Sujoy Bhore, Rahul Jain

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Keywords : graphs - graph - problem - efficient - reachability -

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