Article ID Journal Published Year Pages File Type
4653131 Electronic Notes in Discrete Mathematics 2006 8 Pages PDF
Abstract

A non-hamiltonian graph is called hypohamiltonian if it becomes hamiltonian by deleting an arbitrary vertex. In this paper we describe a construction which produces cyclically 5-connected and cyclically 6-connected hypohamiltonian snarks (cubic graphs with chromatic index 4) of all but finitely many orders. Our construction considerably extends the collection of known hypohamilonian cubic graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics