Topologized Bipartite Graph
S. Vimala *
Department of Mathematics, Mother Teresa Women’s University, Kodaikanal, India.
S. Kalpana
Research Scholar, Mother Teresa Women’s University, Kodaikanal, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Topology, labeling, star, bipartite graph, complete bipartite graph