Publication details
6-CRITICAL GRAPHS ON THE KLEIN BOTTLE
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | SIAM Journal on Discrete Mathematics |
| Citation | |
| Doi | http://dx.doi.org/10.1137/070706835 |
| Keywords | graphs on surfaces; 6-critical graphs; Klein bottle; Heawood formula |
| Description | 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. |