Title
A note on planar partial 3-trees
Abstract
It implicitly follows from the work of [Colbourn, El-Mallah: On two dual classes of planar graphs. Discrete Mathematics 80(1): 21-40 (1990)] that every planar partial 3-tree is a subgraph of a planar 3-tree. This fact has already enabled to prove a couple of results for planar partial 3-trees by induction on the structure of the underlying planar 3-tree completion. We provide an explicit proof of this observation and strengthen it by showing that one can keep the plane drawing of the input graph unchanged.
Year
Venue
Field
2012
arXiv: Discrete Mathematics
Discrete mathematics,Graph,Combinatorics,Planar straight-line graph,Planar,Mathematics,Planar graph
DocType
Volume
Citations 
Journal
abs/1210.8113
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jan Kratochvíl11751151.84
Michal Vaner200.34