Title
At most 3.55 n stable matchings
Abstract
We improve the upper bound for the maximum possible number of stable matchings among <tex>$n$</tex> jobs and <tex>$n$</tex> applicants from 131072<sup>n</sup>+ O(1) to 3.55<sup>n</sup>+ O(1). To establish this bound, we state a novel formulation of a certain entropy bound that is easy to apply and may be of independent interest in counting other combinatorial objects.
Year
DOI
Venue
2021
10.1109/FOCS52979.2021.00029
2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)
Keywords
DocType
ISSN
Computer science,Upper bound,Entropy
Conference
0272-5428
ISBN
Citations 
PageRank 
978-1-6654-2055-6
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Cory Palmer100.34
Dömötör Pálvölgyi220229.14