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math.CO2022★ 2 cited
Odd coloring of 2-boundary planar graphs and beyond
Weichan Liu, Mengke Qi, Xin Zhang
In this paper, we introduce the notion of 2-boundary planar graphs. A graph is 2-boundary planar if it has an embedding in the plane so that all vertices lie on the boundary of at…
math.CO2022
Hypergraph incidence coloring
Weichan Liu, Guiying Yan
An incidence of a hypergraph is a pair with , and . Two incidences and are adjacent if (i) , or (ii) $\…