Rahman, Md. Saidur
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On H-irregular reflexive labeling of graph Marsidi, Marsidi; Agustin, Ika Hesti; Dafik, Dafik; Rahman, Md. Saidur; Sullystiawati, Lusia Herni
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 8, No 2 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v8i2.23753

Abstract

By an irregular reflexive  labeling, we mean a function  and  such that  if  and  if , where  max . Let , the irregular reflexive  labeling is called an -irregular reflexive -labeling of graph  if every two different sub graphs  and  isomorphic to , it holds , where . The minimum  for graph  which has an -irregular reflexive -labeling is called the reflexive  strength of graph and denoted by . In this paper we initiate to study the lower bound of the reflexive  strenght of graphs and the reflexive  strenght of flower, Shack  and book graph, where  isomorphic to and , respectively.