On The Edge Irregularity Strength of Firecracker Graphs F2,m

Rismawati Ramdani; Desi Laswati Suwandi

doi:10.15575/kubik.v7i1.18430

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Rismawati Ramdani
https://www.scopus.com/authid/detail.uri?authorId=55851423500

Scopus ID: 55851423500, Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung
Indonesia

Desi Laswati Suwandi

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On The Edge Irregularity Strength of Firecracker Graphs F2,m

Rismawati Ramdani^(1*), Desi Laswati Suwandi⁽²⁾

(1) Scopus ID: 55851423500, Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung, Indonesia
(2) ,
(*) Corresponding Author

Abstract

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 F_2,m.

Keywords

edge irregular labeling, firecracker, the edge irregularity strength

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References

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DOI: https://doi.org/10.15575/kubik.v7i1.18430

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On The Edge Irregularity Strength of Firecracker Graphs F2,m

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