lnteger-antimagic Labeling of Graphs

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Odabaşı U.

2nd International Conference on Engineering and Applied Natural Sciences, Konya, Turkey, 15 - 18 October 2022, pp.166, (Summary Text)

• Publication Type: Conference Paper / Summary Text
• City: Konya
• Country: Turkey
• Page Numbers: pp.166
• Istanbul University-Cerrahpasa Affiliated: Yes

Abstract

Let A be a non-trivial abelian group. A connected simple graph G = (V, E) is A-antimagic, if

there exists an edge labeling 𝑓: 𝐸(𝐺) → 𝐴\{0} such that the induced vertex labeling 𝑓+(𝑣) =

Σ{𝑢,𝑣}∈ 𝐸(𝐺) 𝑓({𝑢, 𝑣}) is a one-to-one map. The integer-antimagic spectrum of a graph G is the set IAM(G)

= {k: G is ℤ𝑘-antimagic and 𝑘 ≥ 2}. In this work, the integer-antimagic spectra for various classes of

cycle related graphs has been determined.