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math.CO2026
Balanced even cycles in signed graphs:Turán bounds, double covers, and parity obstructions
Lujia Wang, Xiaowei Yu
We study Turán problems for balanced even cycles in simple signed graphs, where signed subgraphs are considered up to switching. For every balanced bipartite signed graph, the sign…
math.CO2026
Winding number and circular coloring
Reza Naserasr, Cyril Pujol, Lujia Wang
In 1996, Youngs proved a surprising theorem that quadrangulations of the projective plane could never have chromatic number exactly 3. This sparked a lot of interest, and the resul…