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Discussiones Mathematicae Graph Theory 27(1) (2007)
29-38
DOI: https://doi.org/10.7151/dmgt.1341
NEW SUFFICIENT CONDITIONS FOR HAMILTONIAN AND PANCYCLIC GRAPHS
Ingo Schiermeyer
Fakultät für Mathematik und Informatik |
Mariusz Woźniak
Faculty of Applied Mathematics |
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: hamiltonian graphs, pancyclic graphs, closure.
2000 Mathematics Subject Classification: 05C38, 05C45.
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Received 1 June 2005
Revised 28 April 2006
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