Showing math.COShow all
3 papers · 1 filter
math.CO2026
The structure of group-labeled graphs forbidding an immersion
Rose McCarty, Caleb McFarland, Paul Wollan
A -labeled graph is an oriented graph with edges invertibly labeled by a group . We prove a structure theorem for -labeled graphs which forbid a fixed -labeled graph as…
math.CO2026
Graphs whose Eulerian trails have unique labels
Donggyu Kim, Rose McCarty, Caleb McFarland
Consider an undirected graph whose edges are labeled invertibly in a group. When does every Eulerian trail from one fixed vertex to another have the same label? We give a precise s…
math.CO2025
Odd-Cycle-Packing-treewidth: On the Maximum Independent Set problem in odd-minor-free graph classes
Mujin Choi, Maximilian Gorsky, Gunwoo Kim +2
We introduce the tree-decomposition-based graph parameter Odd-Cycle-Packing-treewidth (OCP-tw) as a width parameter that asks to decompose a given graph into pieces of bounded odd…