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Research Article Open access CC BY 4.0

Topologized Bipartite Graph

S. Vimala, S. Kalpana

Asian Research Journal of Mathematics · pp. 1–10 · Published 3 May 2017

10.9734/ARJOM/2017/33107

Abstract

Let G be bipartite graph with V vertices and E edges. A topological space X is a topologized graph if it satisfies the following conditions:           Every singleton is open or closed.        ∀x∈X, ∣∂(x)∣≤2, where ∂(x) is a boundary of x.   Here the topology is defined on the graph, since the space X is the union of vertices and edges. This work is extended from topologized graph to star graph (0<n≤2), Bistar, Bipartite graph, Tree, complete bipartite graph.

Topology labeling star bipartite graph complete bipartite graph

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