Planar Emulators Conjecture Is Nearly True for Cubic Graphs
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | European Journal of Combinatorics |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.ejc.2015.02.009 |
| Field | General mathematics |
| Keywords | planar emulator; projective planar graph; graph minor |
| Description | We prove that a cubic nonprojective graph cannot have a finite planar emulator, unless it belongs to one of two very special cases (in which the answer is open). This shows that Fellows' planar emulator conjecture, disproved for general graphs by Rieck and Yamashita in 2008, is nearly true on cubic graphs, and might very well be true there definitely. |
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