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Entropy of continuous flows on compact 2-manifolds

✍ Scribed by Lai-Sang Young


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
287 KB
Volume
16
Category
Article
ISSN
0040-9383

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We introduce a general framework to estimate the crossing number of a graph on a compact 2-manifold in terms of the crossing number of the complete graph of the same size on the same manifold. The bounds are tight within a constant multiplicative factor for many graphs, including hypercubes, some co