Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
428302 | Information Processing Letters | 2007 | 7 Pages |
Abstract
In this paper we prove that every toroidal graph without two triangles sharing a common vertex is 4-choosable. This generalizes a result by Wang and Lih [W. Wang, K.-W. Lih, Choosability and edge choosability of planar graphs without intersecting triangles, SIAM J. Discrete Math. 15 (2002) 538–545], which says that every planar graph without triangles sharing a common vertex is 4-choosable.
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