40 citations · 95 across the 43 of their papers we have counts for
4 papers · 1 filter
Comparing the -number and -polynomials of edge ideals
Kamalesh Saha, Adam Van Tuyl
In this paper, we compare the -numbers and the degree of the -polynomials associated with edge ideals of connected graphs. We prove that the -number can…
Sign patterns which require or allow the strong multiplicity property
Abhilash Saha, Leona Tilis, Kevin N. Vander Meulen +1
We initiate a study of sign patterns that require or allow the non-symmetric strong multiplicity property (nSMP). We show that all cycle patterns require the nSMP, regardless of th…
The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation
Christopher N. Angstmann, Daniel S. Han, Bruce I. Henry +2
The diffusion equation and its time-fractional counterpart can be obtained via the diffusion limit of continuous time random walks with exponential and heavy-tailed waiting time di…
Spheres and balls as independence complexes
Susan M. Cooper, Sara Faridi, Thiago Holleben +2
The terms "whiskering", and more generally "grafting", refer to adding generators to any monomial ideal to make the resulting ideal Cohen-Macaulay. We investigate the independence…