Facial Achromatic Number of Triangulations with Given Guarding Number

A (not necessarily proper) $k$-coloring $c : V(G) \rightarrow \{1,2,\dots,k\}$ of a graph $G$ on a surface is a {\em facial $t$-complete $k$-coloring} if every $t$-tuple of colors appears on the boundary of some face of $G$. The maximum number $k$ such that $G$ has a facial $t$-complete $k$-coloring...

Full description

Bibliographic Details
Published in:Theory and Applications of Graphs
Main Authors: Naoki Matsumoto, Yumiko OHNO
Format: Article
Language:English
Published: Georgia Southern University 2022-02-01
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol9/iss1/1