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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Pawar, Ravindra Kuber
Department of Mathematics BITS Pilani K K Birla Goa Campus, Goa, India.
Electrical & Electronics Engineering

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Distance magic labelling of Mycielskian graphs Pawar, Ravindra Kuber; Singh, Tarkeshwar
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 12, No 1 (2024): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2024.12.1.7

Abstract

A graph G = (V, E), where |V(G)| = n and |E(G)| = m is said to be a distance magic graph if there is a bijection f : V(G)→{1, 2, …, n} such that the vertex weight w(u)=∑v ∈ N(u)f(v)=k is constant and independent of u, where N(u) is an open neighborhood of the vertex u. The constant k is called a distance magic constant, the function f is called a distance magic labeling of the graph G and the graph which admits such a labeling is called a distance magic graph. In this paper, we present some results on distance magic labeling of Mycielskian graphs.
Co-Authors Singh, Tarkeshwar