(a,d)-edge-antimagic total labelings of caterpillars

Title: (a,d)-edge-antimagic total labelings of caterpillars
Creator: Miller, Mirka; Sugeng, Kiki Ariyanti; Slamin,; Baca, Martin
Date: 2005
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/63618
Identifier: vital:608
Identifier: https://doi.org/10.1007/b105263
Identifier: ISSN:0302-9743
Abstract: For a graph G = (V,E), a bijection g from V (G)∪E(G) into {1, 2, ..., |V (G)|+|E(G)|} is called (a, d)-edge-antimagic total labeling of G if the edge-weights w(xy) = g(x) + g(y) + g(xy), xy ∈ E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling g is called super (a, d)-edge-antimagic total if g(V (G)) = {1, 2, ..., |V (G)|}. We study super (a, d)-edge-antimagic total properties of stars Sn and caterpillar Sn1,n2,...,nr .; C1
Publisher: Heidelberg, Germany Springer
Relation: Combinatorial Geometry and Graph Theory, LNCS 3330, Lecture Notes in Computer Science, Indonesia-Japan Joint Conference IJCCGGT 2003, Bandung, Indonesia, September 2003, Revised Selected Papers Vol. 3330, no. (2005), p. 169-180
Rights: Copyright Springer
Rights: This metadata is freely available under a CCO license
Subject: 0101 Pure Mathematics; Antimagic labeling
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