Dec 28, 2008 · A cyclically 4-edge-connected cubic graph G of girth g ( G ) ≥ 5 that is not 3-edge-colorable is called a snark. Snarks have turned out to be an ...

We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is ...

We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is Hamiltonian), by Thomassen. (every 4-connected line graph is ...

This paper proves that the smallest order of a snark with oddness at least 4 and cyclic connectivity 4 is 44, and uses this proof to test the validity of ...

Jun 21, 2004 · Abstract. We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every ...

We use a refinement of the contractibility technique which was introduced by RyjáĿek and Schelp in 2003 as a common generalization and strengthening of the ...

We use a refinement of the contractibility technique which was introduced by Ryjáček and Schelp in 2003 as a common generalization and strengthening of the ...

Mar 1, 2007 · Contractible Subgraphs, Thomassen's Conjecture and the Dominating Cycle Conjecture for Snarks ; Journal: Electronic Notes in Discrete Mathematics.

Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks. Hajo Broersmaa, Gašper Fijavzb, Tomáš Kaiserc,d,∗, Roman ...

Dec 26, 2007 · Article on Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks, published in Discrete Mathematics ...