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Antimagic labeling of the union of two stars

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posted on 2025-05-09, 18:53 authored by Dafik, Mirka Miller, Joseph RyanJoseph Ryan, Martin Bača
Let G be a graph of order p and size q. An (a, d)-edge-antimagic total labeling of G is a one-to-one map f taking the vertices and edges onto 1, 2, . . . , p + q so that the edge-weights w(u, v) = f(u) + f(v) + f(uv), uv ∈ E(G), form an arithmetic progression, starting from a and having common difference d. Moreover, such a labeling is called super (a, d)- edge-antimagic total if f(V (G)) = {1, 2, . . . , p}. This paper considers such labelings applied to a disjoint union of two stars K₁,m and K₁,n.

History

Journal title

Australasian Journal of Combinatorics

Volume

42

Pagination

35-44

Publisher

Centre for Discrete Mathematics & Computing

Language

  • en, English

College/Research Centre

Faculty of Engineering and Built Environment

School

School of Electrical Engineering and Computer Science

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