Title
Series-Parallel Subgraphs Of Planar Graphs
Abstract
In this paper, we show that every 3-connected (3-edge-connected) planar graph contains a 2-connected (respectively, 2-edge-connected) spanning partial 2-tree (series-parallel) graph. In contrast, a recent result implies that not all 3-connected graphs contain 2-edge-connected series-parallel spanning subgraphs.
Year
DOI
Venue
1992
10.1002/net.3230220608
NETWORKS
Keywords
Field
DocType
series parallel,planar graph,connected graph
Discrete mathematics,Combinatorics,Comparability graph,Outerplanar graph,Forbidden graph characterization,Book embedding,Cograph,Universal graph,Mathematics,Planar graph,Split graph
Journal
Volume
Issue
ISSN
22
6
0028-3045
Citations 
PageRank 
References 
4
0.68
3
Authors
2
Name
Order
Citations
PageRank
Ehab S. Elmallah110519.29
Charles J. Colbourn22726290.04