3 papers
math.CO2026
Proper Additive Edge Colorings of Regular Graphs
Ian Gossett
We show that if is a -regular Vizing-class-1 graph, then the proper additive chromatic index of , denoted , is equal to its chromatic index. This verifies that a…
math.CO2024
A note on kernel-perfect orientations and DP-colorings from derangement assignments
Ian Gossett
We prove a generalization of the well-known Bondy-Bopanna-Siegel Lemma to DP-colorings from a class of correspondence assignments which we call derangement assignments. Since DP-co…
math.CO2023
Some orientation theorems for restricted DP-colorings of graphs
Ian Gossett
We define -signable correspondence assignments on multigraphs, which generalize good correspondence assignments as introduced by Kaul and Mudrock. We introduce an auxiliary digr…