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math.AC2024
Minimal Free Resolutions of Edge Ideals of Edge-Weighted Complete Bipartite Graphs
Bethany Kubik, Denise Rangel Tracy, Keri Ann Sather-Wagstaff
We explicitly describe cellular minimal free resolutions of certain classes of edge ideals of weighted complete bipartite graphs based on a construction of Visscher. Specifically,…
math.AC2014★ 1 cited
Path Ideals of Weighted Graphs
Bethany Kubik, Sean Sather-Wagstaff
We introduce and study the weighted -path ideal of a weighted graph , which is a common generalization of Conca and De Negri's -path ideal for unweighted graphs and Paul…
math.AC2012
Quasidualizing Modules
Bethany Kubik
We introduce and study "quasidualizing" modules. An artinian R-module T is quasidualizing if the homothety map \hat R\rightarrow Hom(T,T) is an isomorphism and Ext_R^i(T,T)=0 for e…