Matroid theory provides a unifying framework for notions of independence arising in linear algebra, graph theory and beyond. A matroid consists of a finite ground set endowed with an independence ...

A team of mathematicians has solved a problem first posed more than 40 years ago that has confounded modern mathematicians, until now. A team of mathematicians has solved a problem first posed more ...

Petabyte-scale distributed storage systems are currently transitioning to erasure codes to achieve higher storage efficiency. Classical codes like reed-solomon are highly sub-optimal for distributed ...

Hyperplane arrangement theory examines the partition of a vector or projective space by a finite collection of hyperplanes, focusing on the combinatorial structure of their intersections and the ...