Note on edge irregular reflexive labelings of graphs. Issue 2 (1st August 2019)

• Record Type: Journal Article
• Authors: Bača, Martin; Irfan, Muhammad; Ryan, Joe; Semaničová-Feňovčíková, Andrea; Tanna, Dushyant
• Is Part Of: AKCE International Journal of Graphs and Combinatorics. Volume 16:Issue 2(2019)
• Page Start: 145
• Page End: 157
• Publication Date: 2019-08-01
• Subjects: Edge irregular reflexive labeling -- Reflexive edge strength -- Cycles -- Cartesian product of cycles
• DOI: 10.1016/j.akcej.2018.01.013
• Languages: English
• ISSNs: 0972-8600

Abstract

Abstract: 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 .