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Solution to a Problem of Grünbaum on the Edge Density of 4-Critical Planar Graphs.

Authors :
Dvořák, Zdeněk
Feghali, Carl
Source :
Combinatorica; Aug2024, Vol. 44 Issue 4, p897-907, 11p
Publication Year :
2024

Abstract

We show that lim sup | E (G) | / | V (G) | = 2.5 over all 4-critical planar graphs G, answering a question of Grünbaum from 1988. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
PLANAR graphs
DENSITY

Details

Language :
English
ISSN :
02099683
Volume :
44
Issue :
4
Database :
Complementary Index
Journal :
Combinatorica
Publication Type :
Academic Journal
Accession number :
178655488
Full Text :
https://doi.org/10.1007/s00493-024-00100-8