Rafayel Kamalian, Arpine Khachatryan. On a property of the n-dimensional cube

Natural Sciences / Mathematics / Graph theory

Submitted on: Jul 18, 2012, 04:27:50

Description: We show that in any subset of vertices of the n-dimensional cube which contains at least 2^{n-1}+1 vertices (n>4), there are four vertices that induce a claw, or there are eight vertices that induce the cycle of length eight.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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