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ArticleOriginal scientific text

Title

Difference labelling of cacti

Authors 1

Affiliations

  1. Faculty of Mathematics and Computer Science, TU Bergakademie Freiberg, Agricola-Str. 1, D-09596 Freiberg, Germany

Abstract

A graph G is a difference graph iff there exists S ⊂ IN⁺ such that G is isomorphic to the graph DG(S) = (V,E), where V = S and E = {{i,j}:i,j ∈ V ∧ |i-j| ∈ V}. It is known that trees, cycles, complete graphs, the complete bipartite graphs Kn,n and Kn,n-1, pyramids and n-sided prisms (n ≥ 4) are difference graphs (cf. [4]). Giving a special labelling algorithm, we prove that cacti with a girth of at least 6 are difference graphs, too.

Keywords

ENG
graph labelling, difference graph, cactus

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Discussiones Mathematicae Graph Theory
2003/23/1
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Pages:
55-65
Main language of publication
English
Published
2003

DOI: 10.7151/dmgt.1185

Exact and natural sciences