- Title
- Antimagic labeling of the union of two stars
- Creator
- Dafik; Miller, Mirka; Ryan, Joe; Bača, Martin
- Relation
- Australasian Journal of Combinatorics Vol. 42, p. 35-44
- Relation
- http://ajc.maths.uq.edu.au
- Publisher
- Centre for Discrete Mathematics & Computing
- Resource Type
- journal article
- Date
- 2008
- Description
- 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.
- Subject
- antimagic labeling; graph; stars; super edge-magic
- Identifier
- http://hdl.handle.net/1959.13/39742
- Identifier
- uon:4488
- Identifier
- ISSN:1034-4942
- Language
- eng
- Full Text
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