Electronic Journal of Graph Theory and Applications (EJGTA)Vol 1, No 2 (2013): Electronic Journal of Graph Theory and Applications
Enforced hamiltonian cycles in generalized dodecahedra
Maria Timkova(Institute of Mathematics, Faculty of Science P. J. Safarik University Jesenna 5, 041 54 Kosice)
Article Info
Publish Date 13 Nov 2013
Abstract
The H-force number of a hamiltonian graph G is the smallest number k with the property that there exists a set W ⊆ V (G) with |W| = k such that each cycle passing through all vertices of W is a hamiltonian cycle. In this paper, we determine the H-force numbers of generalized dodecahedra.
The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...