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Informace o publikaci
6-CRITICAL GRAPHS ON THE KLEIN BOTTLE
Autoři | |
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Rok publikování | 2009 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | SIAM Journal on Discrete Mathematics |
Citace | |
Doi | http://dx.doi.org/10.1137/070706835 |
Klíčová slova | graphs on surfaces; 6-critical graphs; Klein bottle; Heawood formula |
Popis | We provide a complete list of 6-critical graphs that can be embedded on the Klein bottle settling a problem of Thomassen [J. Combin. Theory Ser. B, 70 (1997), pp. 67-100, Problem 3]. The list consists of nine nonisomorphic graphs which have altogether 18 nonisomorphic 2-cell embeddings and one embedding that is not 2-cell. |