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All Journal Indonesian Journal of Combinatorics
Kathiresan KM
Ayya Nadar Janaki Ammal College
Computer Science & IT Decision Sciences, Operations Research & Management

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Total edge irregularity strength of some cycle related graphs Ramalakshmi Rajendran; Kathiresan KM
Indonesian Journal of Combinatorics Vol 5, No 1 (2021)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2021.5.1.3

Abstract

An edge irregular total k-labeling f : V ∪ E → 1,2, ..., k of a graph G = (V,E) is a labeling of vertices and edges of G in such a way that for any two different edges uv and u'v', their weights f(u)+f(uv)+f(v) and f(u')+f(u'v')+f(v') are distinct. The total edge irregularity strength tes(G) is defined as the minimum k for which the graph G has an edge irregular total k-labeling. In this paper, we determine the total edge irregularity strength of new classes of graphs Cm @ Cn, Pm,n* and Cm,n* and hence we extend the validity of the conjecture tes(G) = max {⌈|E(G)|+2)/3⌉, ⌈(Δ(G)+1)/2⌉}  for some more graphs.
Co-Authors Ramalakshmi Rajendran