Title
Circumference of essentially 4-connected planar triangulations
Abstract
A $3$-connected graph $G$ is essentially $4$-connected if, for any $3$-cut $S\subseteq V(G)$ of $G$, at most one component of $G-S$ contains at least two vertices. We prove that every essentially $4$-connected maximal planar graph $G$ on $n$ vertices contains a cycle of length at least $\frac{2}{3}(n+4)$; moreover, this bound is sharp.
Year
DOI
Venue
2021
10.7155/jgaa.00552
J. Graph Algorithms Appl.
DocType
Volume
Issue
Journal
25
1
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Igor Fabrici110114.64
Jochen Harant221730.62
Samuel Mohr300.34
Jens M. Schmidt401.69