3 papers
math.CO2026
Characterization of Well-Totally Dominated Trees
Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff +8
Let be a graph with no isolated vertices. A set of vertices is a total dominating set (TDS) if every vertex in is adjacent to at least one vertex in . We say is…
math.AC2026
Open Neighborhood Ideals of Well-Totally Dominated Trees are Cohen-Macaulay
Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff
We introduce and investigate the open neighborhood ideal of a finite simple graph . We describe the minimal primary decomposition of in terms o…
math.AC2025
André-Quillen homology and ascent of complete intersection flat dimensions
Keri Ann Sather-Wagstaff, Tirdad Sharif
Using André-Quillen homology, we prove an ascent result for different types of complete intersection flat dimensions along an essentially of finite type flat local homomorphism wi…