James Cumberbatch

collaborators

2 papers

cs.DM2021

Exact defective colorings of graphs

James Cumberbatch, Juho Lauri, Christodoulos Mitillos

An exact $(k, d)$ -coloring of a graph $G$ is a coloring of its vertices with $k$ colors such that each vertex $v$ is adjacent to exactly $d$ vertices having the same color as $v$ . T…

math.MG2021

Hausdorff dimension of union of lines that cover a curve

Tamás Keleti, James Cumberbatch, Jialin Zhang

We construct a continuously differentiable curve in the plane that can be covered by a collection of lines such that every line intersects the curve at a single point and the union…