3 papers
math.AT2021
Graph Pseudometrics from a Topological Point of View
Ana Lucia Garcia-Pulido, Kathryn Hess, Jane Tan +3
We explore pseudometrics for directed graphs in order to better understand their topological properties. The directed flag complex associated to a directed graph provides a useful…
math.CO2019
Eulerian circuits and path decompositions in quartic planar graphs
Jane Tan
A subcycle of an Eulerian circuit is a sequence of edges that are consecutive in the circuit and form a cycle. We characterise the quartic planar graphs that admit Eulerian circuit…
math.CO2019
Small 4-regular planar graphs that are not circle representable
Jane Tan
A 4-regular planar graph is said to be circle representable if there exists a collection of circles drawn on the plane such that the touching and crossing points correspond to…