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math.CO2025
An Erdos-Gallai conjecture for signed graphs
Lujia Wang
For every natural number , we show that the maximum negative girth among the class of signed graphs on vertices with balanced chromatic number at least is between $(1/e)…
math.CO2025
Odd Hadwiger's conjecture for the complements of Kneser graphs
Meirun Chen, Reza Naserasr, Lujia Wang +1
A generalization of the four-color theorem, Hadwiger's conjecture is considered as one of the most important and challenging problems in graph theory, and odd Hadwiger's conjecture…
math.CO2025
Fractional balanced chromatic number of signed subcubic graphs
Xiaolan Hu, Luis Kuffner, Jiaao Li +4
A signed graph is a pair , where is a graph and , called signature, is an assignment of signs to the edges. Given a signed graph wit…