There is no triangulation of the torus with vertex degrees 5, 6, ... , 6, 7 and related results: geometric proofs for combinatorial theorems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology
Link
http://link.springer.com/content/pdf/10.1007/s10711-012-9782-5.pdf
Reference19 articles.
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2. Altshuler A.: Construction and enumeration of regular maps on the torus. Discret. Math. 4, 201–217 (1973)
3. Barnette D., Jucovič E., Trenkler M.: Toroidal maps with prescribed types of vertices and faces. Mathematika 18, 82–90 (1971)
4. Brehm U., Kühnel W.: Equivelar maps on the torus. Eur. J. Combin. 29(8), 1843–1861 (2008). doi: 10.1016/j.ejc.2008.01.010
5. Datta B., Upadhyay A.K.: Degree-regular triangulations of torus and Klein bottle. Proc. Indian Acad. Sci. Math. Sci 115(3), 279–307 (2005)
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