K. Clinch

activity

20162023

most citedProduct structure of graph classes with bounded treewidth

5 citations · 10 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 2 cited

Abstract 3-Rigidity and Bivariate $C_{2}^{1}$ -Splines II: Combinatorial Characterization

Katie Clinch, Bill Jackson, Shin-ichi Tanigawa

We showed in the first paper of this series that the generic $C_{2}^{1}$ -cofactor matroid is the unique maximal abstract $3$ -rigidity matroid. In this paper we obtain a combinatorial c…

math.CO2019★ 2 cited

Abstract 3-Rigidity and Bivariate $C_{2}^{1}$ -Splines I: Whiteley's Maximality Conjecture

Katie Clinch, Bill Jackson, Shin-ichi Tanigawa

A conjecture of Graver from 1991 states that the generic $3$ -dimensional rigidity matroid is the unique maximal abstract $3$ -rigidity matroid with respect to the weak order on matr…

math.CO2019

Pairing symmetries for Euclidean and spherical frameworks

Katie Clinch, Anthony Nixon, Bernd Schulze +1

In this paper we consider the effect of symmetry on the rigidity of bar-joint frameworks, spherical frameworks and point-hyperplane frameworks in $R^{d}$ . In particular we s…

Abstract 3-Rigidity and Bivariate C21​-Splines II: Combinatorial Characterization

Abstract 3-Rigidity and Bivariate C21​-Splines I: Whiteley's Maximality Conjecture

Pairing symmetries for Euclidean and spherical frameworks

Abstract 3-Rigidity and Bivariate $C_{2}^{1}$ -Splines II: Combinatorial Characterization

Abstract 3-Rigidity and Bivariate $C_{2}^{1}$ -Splines I: Whiteley's Maximality Conjecture