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cs.CG2023
On Minimizing the Energy of a Spherical Graph Representation
Matt DeVos, Danielle Rogers, Alexandra Wesolek
Graph representations are the generalization of geometric graph drawings from the plane to higher dimensions. A method introduced by Tutte to optimize properties of graph drawings…
math.CO2023
Nowhere-zero 8-flows in cyclically 5-edge-connected, flow-admissible signed graphs
Matt DeVos, Kathryn Nurse, Robert Sámal
In 1983, Bouchet proved that every bidirected graph with a nowhere-zero integer-flow has a nowhere-zero 216-flow, and conjectured that 216 could be replaced with 6. This paper show…