Title
On the maximum degree of path-pairable planar graphs
Abstract
A graph is path-pairable if for any pairing of its vertices there exist edge-disjoint paths joining the vertices in each pair. We investigate the behaviour of the maximum degree in path-pairable planar graphs. We show that any n-vertex path-pairable planar graph must contain a vertex of degree linear in n. Our result generalizes to graphs embeddable on a surface of finite genus.
Year
DOI
Venue
2019
10.37236/7291
ELECTRONIC JOURNAL OF COMBINATORICS
Field
DocType
Volume
Discrete mathematics,Combinatorics,Degree (graph theory),Mathematics,Planar graph
Journal
26
Issue
ISSN
Citations 
2
1077-8926
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
António Girão113.07
Gábor Mészáros200.34
Kamil Popielarz311.79
Richard Snyder411.04