@article{oai:ynu.repo.nii.ac.jp:00006949, author = {Chen, Beifang and Lawrencenko, Serge}, issue = {Special}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $M$ be a closed 2-manifold. A face coloring of a triangulation $T$ of $M$ is called a cyclic coloration if, for any vertex, the incident faces have different colors. Let $V(T)$ denote the vertex set of $T$ . We conjecture that there will be found a constant $C(M)$ so that $|V(T)|+C(M) colors are enough for cyclic coloration of any triangulation $T$ of $M$. When $M$ is not the projective plane, we conjecture that $|V(T)|$ colors will suffice, whenever $T$ is minimal with respect to the number of vertices. If this conjecture is true, the formula for the minimum number of vertices in a triangulation of a given 2-manifold with boundary is determined to have at most one gap.}, pages = {93--99}, title = {A NOTE ON CYCLIC COLORATIONS AND MINIMAL TRIANGULATIONS}, volume = {47}, year = {1999} }