92 citations · 395 across the 40 of their papers we have counts for
Showing 2020 · math.COShow all
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math.CO2020
Maximum entropy and integer partitions
Gweneth McKinley, Marcus Michelen, Will Perkins
We derive asymptotic formulas for the number of integer partitions with given sums of th powers of the parts for belonging to a finite, non-empty set .…
math.CO2020
A proof of the Upper Matching Conjecture for large graphs
Ewan Davies, Matthew Jenssen, Will Perkins
We prove that the `Upper Matching Conjecture' of Friedland, Krop, and Markström and the analogous conjecture of Kahn for independent sets in regular graphs hold for all large enoug…
math.CO2020
On the Number of Independent Sets in Uniform, Regular, Linear Hypergraphs
Emma Cohen, Will Perkins, Michail Sarantis +1
We study the problems of bounding the number weak and strong independent sets in -uniform, -regular, -vertex linear hypergraphs with no cross-edges. In the case of weak in…