Regular slices for hypergraphs
Allen, P.
, Böttcher, J., Cooley, O. & Mycroft, R.
(2015).
Regular slices for hypergraphs.
Electronic Notes in Discrete Mathematics,
49, 691-698.
https://doi.org/10.1016/j.endm.2015.06.093
, Böttcher, J., Cooley, O. & Mycroft, R.
(2015).
Regular slices for hypergraphs.
Electronic Notes in Discrete Mathematics,
49, 691-698.
https://doi.org/10.1016/j.endm.2015.06.093
We present a ‘Regular Slice Lemma’ which, given a k -graph GG, returns a regular (k−1)(k−1)-complex JJ with respect to which GG has useful regularity properties. We believe that many arguments in extremal hypergraph theory are made considerably simpler by using this lemma rather than existing forms of the Strong Hypergraph Regularity Lemma, and advocate its use for this reason.