Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
One way to choose a basis of a matroid at random is to choose an ordering of the ground set uniformly at random and then use the greedy algorithm to find a basis. We investigate t...
We characterize all internally 4-connected binary matroids M with the property that the ground set of M can be ordered (e0, . . . , en-1) in such a way that {ei, . . . , ei+t} is 4...
Jeremy Aikin, Carolyn Chun, Rhiannon Hall, Dillon ...
Properties of Boolean functions on the hypercube that are invariant with respect to linear transformations of the domain are among some of the most well-studied properties in the ...
Arnab Bhattacharyya, Elena Grigorescu, Jakob Nords...
A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid...