120 citations · 248 across the 25 of their papers we have counts for
25 papers
Existence of Minimal Homotopies for Immersed Planar Curves
Lia Buchbinder, Yunjia Kou, Bala Krishnamoorthy +1
We study the existence of area-minimizing homotopies between homotopic curves in the plane. While the classical Plateau problem establishes the existence of least-area surfaces spa…
Lipschitz (non-)equivalence of the Gromov--Hausdorff distances, including on ultrametric spaces
Vladyslav Oles, Kevin R. Vixie
The Gromov--Hausdorff distance measures the difference in shape between compact metric spaces. While even approximating the distance up to any practical factor poses an NP-hard pro…
Geometry of a Set and its Random covers
Enrique Alvarado, Bala Krishnamoorthy, Kevin R. Vixie
Let be a bounded open subset of . We study the following questions: For i.i.d. samples drawn uniformly from , what is the probability that $\…
The Maximum Distance Problem and Minimal Spanning Trees
Enrique G. Alvarado, Bala Krishnamoorthy, Kevin R. Vixie
Given a compact and , the maximum distance problem seeks a compact and connected subset of of smallest one dimensional Hausdorff meas…
From classical to modern opinion dynamics
Hossein Noorazar, Kevin R. Vixie, Arghavan Talebanpour +1
In this age of Facebook, Instagram and Twitter, there is rapidly growing interest in understanding network-enabled opinion dynamics in large groups of autonomous agents. The phenom…
A Time Series Graph Cut Image Segmentation Scheme for Liver Tumors
Laramie Paxton, Yufeng Cao, Kevin R. Vixie +3
Tumor detection in biomedical imaging is a time-consuming process for medical professionals and is not without errors. Thus in recent decades, researchers have developed algorithmi…