3 citations · 6 across the 7 of their papers we have counts for
8 papers
Explicit bounds for the layer number of the grid
Travis Dillon, Narmada Varadarajan
The number of steps required to exhaust a point set by iteratively removing the vertices of its convex hull is called the layer number of the point set. This article presents a sho…
Dynamics and entropy of -graph shifts
Travis Dillon
-gap shifts are a well-studied class of shift spaces, which has led to several proposed generalizations. This paper introduces a new class of shift spaces called -g…
A mélange of diameter Helly-type theorems
Travis Dillon, Pablo Soberón
A Helly-type theorem for diameter provides a bound on the diameter of the intersection of a finite family of convex sets in given some information on the diameter of…
Discrete quantitative Helly-type theorems with boxes
Travis Dillon
Research on Helly-type theorems in combinatorial convex geometry has produced volumetric versions of Helly's theorem using witness sets and quantitative extensions of Doignon's the…
Exponential multivalued forbidden configurations
Travis Dillon, Attila Sali
The forbidden number , which denotes the maximum number of unique columns in an -rowed -matrix with no submatrix that is a row and column permutation…
An inverse problem for the collapsing sum
Travis Dillon
Gaussian filters have applications in a variety of areas in computer science, from computer vision to speech recognition. The collapsing sum is a matrix operator that was recently…