On the domination of triangulated discs

Let $G$ be a $3$-connected triangulated disc of order $n$ with the boundary cycle $C$ of the outer face of $G$. Tokunaga (2013) conjectured that $G$ has a dominating set of cardinality at most $\frac14(n+2)$. This conjecture is proved in Tokunaga (2020) for $G-C$ being a tree. In this paper we prove...

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Bibliographic Details
Main Authors: Noor A'lawiah Abd Aziz, Nader Jafari Rad, Hailiza Kamarulhaili
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2023-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/148/4/mb148_4_9.pdf