3 papers
math.CO2022
Counting Power Domination Sets in Complete m-ary Trees
Sviatlana Kniahnitskaya, Michele Ortiz, Olivia Ramirez +2
Motivated by the question of computing the probability of successful power domination by placing k monitors uniformly at random, in this paper we give a recursive formula to count…
math.AC2019
Reducibility of parameter ideals in low powers of the maximal ideal
Katharine Shultis, Peder Thompson
A commutative noetherian local ring is Gorenstein if and only if every parameter ideal of is irreducible. Although irreducible parameter ideals may exist in…
math.AC2014
Systems of Parameters and the Cohen-Macaulay Property
Katharine Shultis
Let be a commutative, Noetherian, local ring and an -module. Consider the module of homomorphisms where $\mathfra…