19 citations · 20 across the 9 of their papers we have counts for
10 papers
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,…
On Atomic Density of Numerical Semigroup Algebras
A. A. Antoniou, R. A. C. Edmonds, B. Kubik +2
A numerical semigroup is a cofinite, additively-closed subset of the nonnegative integers that contains . In this paper, we initiate the study of atomic density, an asymptot…
Lattice point visibility on generalized lines of sight
Edray Herber Goins, Pamela E. Harris, Bethany Kubik +1
For a fixed we say that a point in the integer lattice is -visible from the origin if it lies on the gra…
The Graph of Critical Pairs of a Crown
Fidel Barrera-Cruz, Rebecca Garcia, Pamela Harris +5
There is a natural way to associate with a poset a hypergraph , called the hypergraph of critical pairs, so that the dimension of is exactly equal to the chromatic numbe…
Upper broadcast domination of toroidal grids and a classification of diametrical trees
Erik Insko, Bethany Kubik, Candice Price
A broadcast on a graph is a function satisfying for all , where denotes the eccentricit…
Block Circulant Graphs and the Graphs of Critical Pairs of a Crown
Rebecca E. Garcia, Pamela E. Harris, Bethany Kubik +2
In this paper, we provide a natural bijection between a special family of block circulant graphs and the graphs of critical pairs of the posets known as generalized crowns. In part…
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…
Homology of artinian and mini-max modules, II
Bethany Kubik, Micah Leamer, Sean Sather-Wagstaff
Let R be a commutative ring, and let L and L' be R-modules. We investigate finiteness conditions (e.g., noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext^i_R(L,L…
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…
Homology of artinian and Matlis reflexive modules, I
Bethany Kubik, Micah J. Leamer, Sean Sather-Wagstaff
Let R be a commutative local noetherian ring, and let L and L' be R-modules. We investigate the properties of the functors Tor_i^R(L,-) and Ext^i_R(L,-). For instance, we show the…