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Antimagic Labeling of Cubic Graphs
Authors:Yu‐Chang Liang  Xuding Zhu
Institution:1. DEPARTMENT OF APPLIED MATHEMATICS, NATIONAL SUN YAT‐SEN UNIVERSITY, KAOHSIUNG, TAIWAN;2. DEPARTMENT OF MATHEMATICS, ZHEJIANG NORMAL UNIVERSITY, P. R. CHINA
Abstract:An antimagic labeling of a graph G is a one‐to‐one correspondence between urn:x-wiley:03649024:jgt21718:equation:jgt21718-math-0001 and urn:x-wiley:03649024:jgt21718:equation:jgt21718-math-0002 such that the sum of the labels assigned to edges incident to distinct vertices are different. If G has an antimagic labeling, then we say G is antimagic. This article proves that cubic graphs are antimagic.
Keywords:antimagic labeling  cubic graphs
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