Looseness and Independence Number of Triangulations on Closed Surfaces

The looseness of a triangulation G on a closed surface F2, denoted by ξ (G), is defined as the minimum number k such that for any surjection c : V (G) → {1, 2, . . . , k + 3}, there is a face uvw of G with c(u), c(v) and c(w) all distinct. We shall bound ξ (G) for triangulations G on closed surfaces...

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Bibliographic Details
Main Authors: Nakamoto Atsuhiro, Negami Seiya, Ohba Kyoji, Suzuki Yusuke
Format: Article
Language:English
Published: Sciendo 2016-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1870