Non-Bicritical Critical Snarks

Abstract. Snarks are cubic graphs with chromatic index χ′=4. A snark G is called critical if χ′ (G−{v,w})=3 for any two adjacent vertices v and w, and it is called bicritical if χ′ (G−{v,w})=3 for any two vertices v and w. We construct infinite families of critical snarks which are not bicritical. This solves a problem stated by Nedela and Škoviera.