Title
On finding two-connected subgraphs in planar graphs
Abstract
We consider a basic problem in the design of reliable networks, namely, that of finding a minimum-weight 2-connected subgraph spanning a given set K of vertices in a planar graph. We show a relationship between this problem and that of finding shortest trails and cycles enclosing K, and derive a polynomial-time algorithm in the case when the vertices of K all lie on the same face.
Year
DOI
Venue
1997
10.1016/S0167-6377(96)00046-6
Oper. Res. Lett.
Keywords
Field
DocType
steiner tree,planar graph,network survivability,reliable network,basic problem,2-connected subgraph,two-connected,two-connected subgraphs,polynomial-time algorithm
Graph theory,Discrete mathematics,Combinatorics,Vertex (geometry),Steiner tree problem,Network survivability,Planar graph,Mathematics
Journal
Volume
Issue
ISSN
20
2
Operations Research Letters
Citations 
PageRank 
References 
2
0.40
9
Authors
1
Name
Order
Citations
PageRank
J. Scott Provan167890.11