Title
Augmenting a (kappa-1)-Vertex-Connected Multigraph to an iota-Edge-Connected and kappa-Vertex-Connected Multigraph
Abstract
Given an undirected multigraph G = (V,E) and two positive integers l and k, we consider the problem of augmenting G by the smallest number of new edges to obtain an l-edge-connected and k-vertex-connected multigraph. In this paper, we show that an (k - 1)-vertex-connected multigraph G (k 驴 4) can be made l-edge-connected and k-vertex-connected by adding at most 2l surplus edges over the optimum, in O(min{k,驴n}kn3 + n4) time, where n = |V|.
Year
Venue
Keywords
1999
ESA
new edge,surplus edge,vertex-connected multigraph,positive integers l,undirected multigraph,augmenting g,smallest number,k-vertex-connected multigraph,kappa-vertex-connected multigraph
Field
DocType
ISBN
Integer,Discrete mathematics,Kappa,Combinatorics,Multigraph,Vertex (geometry),Iota,Mathematics
Conference
3-540-66251-0
Citations 
PageRank 
References 
3
0.42
16
Authors
3
Name
Order
Citations
PageRank
Toshimasa Ishii111017.03
Hiroshi Nagamochi21513174.40
Toshihide Ibaraki32593385.64