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Two Classes of Super-Magic Quartic Graphs

B. Baéa 1, I. Hollander 1, Ko-Wei Lih2
1 Department of Mathematics Technical University Koéice, Slovak Republic
2 Institute of Mathematics Academia Sinica Taipei, Taiwan, Republic of China

Abstract

We deal with finite graphs which admit a labeling of edges by pairwise different positive integers from the set \(\{1, 2, \ldots, |E(G)|\}\) in such a way that the sum of the labels of the edges incident to a particular vertex is the same for all vertices. We construct edge labelings for two families of quartic graphs, i.e., regular graphs of degree \(d = 4\).