19 citations · 23 across the 8 of their papers we have counts for
4 papers · 1 filter
Private neighbors, perfect codes and their relation with the -number of closed neighborhood ideals
Delio Jaramillo-Velez, Hiram H. López, Rodrigo San-José
In this work, we investigate the connections between dominating sets, private neighbors, and perfect codes in graphs, and their relationships with commutative algebra. In particula…
The edge code of hypergraphs
Delio Jaramillo-Velez
Given a hypergraph , we introduce a new class of evaluation toric codes called edge codes derived from . We analyze these codes, focusing on determining t…
Connected domination in graphs and v-numbers of binomial edge ideals
Delio Jaramillo-Velez, Lisa Seccia
The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally motivated by problems in algebraic coding theory. In this paper we study the ca…
-thresholds and test ideals of Thom-Sebastiani type polynomials
Manuel González Villa, Delio Jaramillo-Velez, Luis Núñez-Betancourt
We provide a formula for -thresholds of a Thom-Sebastiani type polynomial over a perfect field of prime characteristic. This result extends the formula for the -pure threshol…