posted on 2025-05-09, 18:53authored byDafik, 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