Bitopological labeling of tree related graphs
S. Selestin Lina, S. Asha · AIP conference proceedings · 2022
Let G =(V, E) and X, a non-empty set. If there exists an injective function f: V(G) → 2X which induces the functionf*: E(G) → 2X delineated as f*(v1v2)=[f(v1)∪f(v2)]c∀v1v2∈E(G) such that {f(V(G))} and {f*(E(G))} ∪ X are both topologies on X, then we say that f is a bitopological star labeling. A graph which admits such a labeling is called bitopological star graph. This aspects is defined and introduced by us [7]. In this paper we proved Olive tree, Banana tree and Fire cracker are bitopolological graph.