Paper Info
Title
Arithmetic Progression Hypergraphs: Examining the Second Moment Method.
Abstract
In many data structure settings, it has been shown that using in place of standard hashing, by which we mean choosing multiple hash values according to an instead of choosing each hash value independently, has asymptotically negligible difference in performance. We attempt to extend these ideas beyond data structure settings by considering how threshold arguments based on second moment methods can be generalized to arithmetic progression versions of problems. With this motivation, we define a novel hypergraph model, random (AP) hypergraphs, which is based on edges that form progressions and unifies many previous problems. Our main result is to show that second moment arguments for 3-NAE-SAT and 2-coloring of 3-regular hypergraphs extend to the double hashing setting. We leave several open problems related to these quasi-random hypergraphs and the thresholds of associated problem variations.
Year
DOI
Venue
2019
10.1137/1.9781611975505.14
ANALCO
DocType
Volume
Citations 
Conference
abs/1712.01781
0
PageRank 
References 
Authors
0.34
9
1
Name
Order
Citations
PageRank
Michael Mitzenmacher17386730.89