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ArticleOriginal scientific text

Title

New sufficient conditions for hamiltonian and pancyclic graphs

Authors 1, 2

Affiliations

  1. Fakultät für Mathematik und Informatik, Technische Universität Bergakademie Freiberg, 09596 Freiberg, Germany
  2. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland

Abstract

For a graph G of order n we consider the unique partition of its vertex set V(G) = A ∪ B with A = {v ∈ V(G): d(v) ≥ n/2} and B = {v ∈ V(G):d(v) < n/2}. Imposing conditions on the vertices of the set B we obtain new sufficient conditions for hamiltonian and pancyclic graphs.

Keywords

ENG
hamiltonian graphs, pancyclic graphs, closure

Bibliography

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Discussiones Mathematicae Graph Theory
2007/27/1
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Pages:
29-38
Main language of publication
English
Received
2005-06-01
Accepted
2006-04-28
Published
2007

DOI: 10.7151/dmgt.1341

Exact and natural sciences