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Ci Manu
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health

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Wn-SUPER MAGIC LABELING ON GRAPH Pm ⊵e Wn Ci Manu; Ganesha Lapenangga Putra; Keristina Br. Ginting
JURNAL DIFERENSIAL Vol 5 No 1 (2023): April 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i1.9823

Abstract

Suppose G graph, H subgraph of G, then graph G admits H-covering having an H-magic labeling if there exist a bijective function mapping V (G) ∪ E(G) to a set of natural number at most |V (G)| + |E(G)| such that for any subgraph H¯ of G isomorphic to H, the sum of vertex and edge label of H¯ is equal to a fix number k, where k is a magic number. Moreover, such a labeling called H-super magic if the range of vertex set of G is a set positive integer less than or equal to |V (G)|. Suppose that e is an edge of Wn. Graph Pm ⊵e Wn is a graph obtained by taking a copy of graph Pm, |E(Pm)| copies of Wn, then identifying i-th edge of Pm to an edge e at i-th copy of Wn. In this paper, we construct the Wn-supermagic labeling of Pm ⊵e Wn.
Co-Authors Ganesha L Putra Keristina Br. Ginting