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math.CO2023
Balanced-chromatic number and Hadwiger-like conjectures
Andrea Jiménez, Jessica McDonald, Reza Naserasr +2
Motivated by different characterizations of planar graphs and the 4-Color Theorem, several structural results concerning graphs of high chromatic number have been obtained. Toward…
math.CO2023
Group connectivity of 3-edge-connected signed graphs
Alejandra Brewer Castano, Jessica McDonald, Kathryn Nurse
Jaeger, Linial, Payan, and Tarsi introduced the notion of -connectivity for graphs in 1992, and proved a decomposition for cubic graphs from which -connectivity follows for a…
math.CO2023
Another proof of Seymour's 6-flow theorem
Matt DeVos, Jessica McDonald, Kathryn Nurse
In 1981 Seymour proved his famous 6-flow theorem asserting that every 2-edge-connected graph has a nowhere-zero flow in the group (in fact, he…