Tree-like Snarks

Marien Abreu
Dipartimento di Matematica, Informatica ed Economia \\ Universit\`{a} degli Studi della Basilicata

Tom\'{a}\v{s} Kaiser
Department of Mathematics and \\ Institute for Theoretical Computer Science \\ University of West Bohemia

Domenico Labbate
Dipartimento di Matematica, Informatica ed Economia \\ Universit\`{a} degli Studi Della Basilicata

Giuseppe Mazzuoccolo
Dipartimento di Scienze Fisiche, Informatiche e Matematiche \\ Universit\`{a} di Modena e Reggio Emilia

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Minisymposium: GENERAL SESSION TALKS

Content: In this talk, we present an infinite family of snarks which we call \emph{tree-like snarks} and we prove that they have excessive index 5 ($\chi_e'(G)=5$), circular flow number 5 ($\phi_C(G)=5$), and admit a cycle double cover.

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