منابع مشابه
Geometric proofs for combinatorial theorems
There is no 5,7-triangulation of the torus, that is, no triangulation with exactly two exceptional vertices, of degree 5 and 7. Similarly, there is no 3, 5-quadrangulation. The vertices of a 2, 4-hexangulation of the torus cannot be bicolored. Similar statements hold for 4, 8-triangulations and 2, 6-quadrangulations. We prove these results, of which the first two are known and the others seem t...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1990
ISSN: 0097-3165
DOI: 10.1016/0097-3165(90)90008-k