Work

Precoloring extension in planar near-Eulerian-triangulations

Year: 2025

Type: article

Abstract: We consider the 4-precoloring extension problem in planar near-Eulerian- triangulations , i.e., plane graphs where all faces except possibly for the outer one have length three, all vertices not incident with the outer face have even degree, and exactly the vertices incident with the outer face are precolored. We give a necessary topological condition for the precoloring to extend, and give a complete characterization when the outer face has length at most five and when all vertices of the outer face have odd degree and are colored using only three colors.

Source: European Journal of Combinatorics

DOI: 10.1016/j.ejc.2025.104138

Authors: Zdeněk Dvořák, Benjamin Moore, Michaela Seifrtová, Robert Šámal

Institution: Charles University

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,560

Funder: Grantová Agentura České Republiky