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All Journal Electronic Journal of Graph Theory and Applications (EJGTA) Indonesian Journal of Combinatorics
Anak Agung Gede Ngurah
Department Of Civil Engineering, Universitas Merdeka Malang Indonesia
Computer Science & IT Decision Sciences, Operations Research & Management Electrical & Electronics Engineering

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Journal : Indonesian Journal of Combinatorics

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New families of star-supermagic graphs Anak Agung Gede Ngurah
Indonesian Journal of Combinatorics Vol 4, No 2 (2020)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2020.4.2.4

Abstract

A simple graph G admits a K1,n-covering if every edge in E(G) belongs to a subgraph of G isomorphic to K1,n. The graph G is K1,n-supermagic if there exists  a bijection f : V(G) ∪ E(G) → {1, 2, 3,..., |V(G) ∪ E(G)|} such that for every subgraph H' of G isomorphic to K1,n,  ∑v ∈ V(H')  f(v) + ∑e ∈ E(H') f(e) is  a constant and f(V(G)) = {1, 2, 3,..., |V(G)|}. In such a case, f is called a K1,n-supermagic labeling of G.  In this paper, we give a method how to construct K1,n-supermagic graphs from the old ones.
Co-Authors Baskoro, Edy Tri Rinovia Simanjuntak Rinovia Simanjuntak Simanjuntak, Rinovia