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Tight bounds on the maximum size of a set of permutations with bounded VC-dimension

✍ Scribed by Josef Cibulka; Jan Kynčl


Book ID
113698864
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
295 KB
Volume
119
Category
Article
ISSN
0097-3165

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It is proved that every connected simplicial graph with minimum valence at least three has maximum genus at least one-quarter of its cycle rank. This follows from the technical result that every 3-regular simplicial graph except K4 has a Xuong co-tree whose odd components have only one edge each. It