Radio Antipodal Labeling of Mongolian Tent and Torus Grid Graphs
S. Gomathi,
P. Venugopal,
T. Arputha Jose
Abstract:An antipodal labeling is a function f from the vertices of G to the set of natural numbers such that it satisfies the condition d ( u , v ) + | f ( u ) – f ( v ) | ≥ d , where d is the diameter of G and d ( u , v ) is the shortest distance between every pair of distinct vertices u and v of G . The span of an antipodal labeling f is s p ( f ) = max { | f ( u ) – f ( v ) | : u , v ∈ V ( G ) } . The antipodal number of~G, denoted by~an(G), is the minimum span of all antipodal labeling of~G. In this paper, we dete… Show more
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