Kubik (Sep 2022)

On The Edge Irregularity Strength of Firecracker Graphs F2,m

  • Rismawati Ramdani,
  • Desi Laswati Suwandi

DOI
https://doi.org/10.15575/kubik.v7i1.18430
Journal volume & issue
Vol. 7, no. 1
pp. 31 – 37

Abstract

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Let be a graph and k be a positive integer. A vertex k-labeling is called an edge irregular labeling if there are no two edges with the same weight, where the weight of an edge uv is . The edge irregularity strength of G, denoted by es(G), is the minimum k such that has an edge irregular k-labeling. This labeling was introduced by Ahmad, Al-Mushayt, and Bacˇa in 2014. An (n,k)-firecracker is a graph obtained by the concatenation of n k-stars by linking one leaf from each. In this paper, we determine the edge irregularity strength of fireworks graphs F2,m.

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