Title
Augmenting Edge and Vertex Connectivities Simultaneously
Abstract
Given an undirected multigraph G = (V, E) and requirement functions r : ( 2 ) Z + and r : ( 2 ) Z + (where Z + is the set of nonnegative integers), we consider the problem of augmenting G by the smallest number of new edges so that the edge-connectivity and vertex connectivity between every pair , V become at least r (, ) and r k ,(,), respectively, in the resulting graph G. In this paper, we show that the problem can be solved in polynomial time if r k is given by r k,(, ) = 2 for all , V.
Year
DOI
Venue
1997
10.1007/3-540-63890-3_12
ISAAC
Keywords
Field
DocType
augmenting edge,vertex connectivities simultaneously,polynomial time
Integer,Discrete mathematics,Graph,Combinatorics,Multigraph,Vertex (geometry),Algorithm complexity,Vertex connectivity,Connectivity,Time complexity,Mathematics
Conference
Volume
ISSN
ISBN
1350
0302-9743
3-540-63890-3
Citations 
PageRank 
References 
6
0.52
13
Authors
3
Name
Order
Citations
PageRank
Toshimasa Ishii111017.03
Hiroshi Nagamochi21513174.40
Toshihide Ibaraki32593385.64