Super edge-antimagic total labelings

Kiki Ariyanti, M. Miller, Martin Bača

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

A (p, q)-graph G is (a, d)-edge-antimagic total if there exists a bijective function f : V(G) ∪ E(G) → {1,2,...,p + q} such that the edge-weights w(uv) = f(u) + f(v) + f(uv), uv ∈ E(G), form an arithmetic progression starting from a and having common difference d. Moreover, G is said to be super (a, d)-edge-antimagic total if f(V(G)) = {1,2,..., p}. In this paper we study the super (a,d)-edge-antimagic total properties of certain classes of graphs, including ladders, generalized prisms and antiprisrns.

Original languageEnglish
Pages (from-to)131-141
Number of pages11
JournalUtilitas Mathematica
Volume71
Publication statusPublished - 1 Nov 2006

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