Article ID Journal Published Year Pages File Type
4652866 Electronic Notes in Discrete Mathematics 2007 8 Pages PDF
Abstract

All hypohamiltonian cubic graphs which are constructed in the author's paper of 1989 make up a family of exponentially many hypohamiltonian snarks. It is so because these are—in Chvátal's terminology—graphs based on compositions of flip-flops derived exclusively from two snarks: the Petersen graph PG and Isaacs' flower snark J5. Consequently, due to a new simple observation, the constructed graphs are iterated dot products of PG and/or J5.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics