Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777126 | Electronic Notes in Discrete Mathematics | 2017 | 7 Pages |
Abstract
In 1975 Pippenger and Golumbic proved that any graph on n vertices admits at most 2e(n/k)k induced k-cycles. This bound is larger by a multiplicative factor of 2e than the simple lower bound obtained by a blow-up construction. Pippenger and Golumbic conjectured that the latter lower bound is essentially tight. In the present paper we establish a better upper bound of (128e/81)â (n/k)k. This constitutes the first progress towards proving the aforementioned conjecture since it was posed.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Dan Hefetz, Mykhaylo Tyomkyn,