49 citations · 93 across the 18 of their papers we have counts for
3 papers · 1 filter
On Laplacian Monopoles
Cong X. Kang, Gretchen L. Matthews, Justin D. Peachey
We consider the action of the (combinatorial) Laplacian of a finite and simple graph on integer vectors. By a \emph{Laplacian monopole} we mean an image vector negative at exactly…
Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes
Hiram H. López, Gretchen Matthews, Ivan Soprunov
A monomial-Cartesian code is an evaluation code defined by evaluating a set of monomials over a Cartesian product. It is a generalization of some families of codes in the literatur…
Service Rate Region of Content Access from Erasure Coded Storage
Sarah Anderson, Ann Johnston, Gauri Joshi +3
We consider storage systems in which files are stored over nodes. A node may be systematic for a particular file in the sense that access to it gives access to the file. Al…