On magicness and antimagicness of the union of 4-regular circulant graphs

Title: On magicness and antimagicness of the union of 4-regular circulant graphs
Creator: Sugeng, Kiki A.; Herawati, Bong N.; Miller, Mirka; Bača, Martin
Relation: Australasian Journal of Combinatorics Vol. 50, p. 141-153
Relation: http://ajc.maths.uq.edu.au/?page=get_volumes&volume=50
Publisher: Centre for Discrete Mathematics & Computing
Resource Type: journal article
Date: 2011
Description: Let G = (V,E) be a graph of order n and size e. An (a, d)-vertexantimagic total labeling is a bijection α from V (G) ∪ E(G) onto the set of consecutive integers {1, 2,..., n + e}, such that the vertex-weights form an arithmetic progression with the initial term a and the common difference d. The vertex-weight of a vertex x is the sum of values α(xy) assigned to all edges xy incident to the vertex x together with the value assigned to x itself. In this paper we study the vertex-magicness and vertex-antimagicness of the union of 4-regular circulant graphs.
Subject: vertex magicness; vertex antimagicness; regular circulant graphs; arithmetic progression
Identifier: http://hdl.handle.net/1959.13/1062612
Identifier: uon:17117
Identifier: ISSN:1034-4942
Language: eng
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