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Note on edge irregular reflexive labelings of graphs

2018; Elsevier BV; Volume: 16; Issue: 2 Linguagem: Inglês

10.1016/j.akcej.2018.01.013

2543-3474

Martin Bača, Muhammad Irfan, Joe Ryan, Andrea Semaničová–Feňovčíková, Dushyant Tanna,

graph theory and CDMA systems

For a graph , an edge labeling and a vertex labeling are called total -labeling, where . The total -labeling is called an edge irregular reflexive -labeling of the graph , if for every two different edges and of , one has The minimum for which the graph has an edge irregular reflexive -labeling is called the reflexive edge strength of .In this paper we determine the exact value of the reflexive edge strength for cycles, Cartesian product of two cycles and for join graphs of the path and cycle with .