11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.CO2025
Colouring normal quadrangulations of projective spaces
Tomáš Kaiser, On-Hei Solomon Lo, Atsuhiro Nakamoto +2
Youngs proved that every non-bipartite quadrangulation of the projective plane is 4-chromatic. Kaiser and Stehl\'ık [J. Combin. Theory Ser. B 113 (2015), 1…
math.CO2016
A Note on -colorings of Quadrangulations
Arthur Hoffmann-Ostenhof, Atsuhiro Nakamoto
Let be a quadrangulation on an orientable surface and let be a proper vertex--coloring of . A face of is said to be a rainbow-face if all four distinct colors…
math.CO2011★ 11 cited
Irreducible triangulations of surfaces with boundary
Alexandre Boulch, Éric Colin de Verdière, Atsuhiro Nakamoto
A triangulation of a surface is irreducible if no edge can be contracted to produce a triangulation of the same surface. In this paper, we investigate irreducible triangulations of…