Title
K-Edge and 3-Vertex Connectivity Augmentation in an Arbitrary Multigraph
Abstract
Given an undirected multigraph G = (V,E) and two positive integers l and k, the edge-and-vertex connectivity augmentation problem asks to augment G by the smallest number of new edges so that the resulting multigraph becomes l-edge-connected and k-vertex-connected. In this paper, we show that the problem with a fixed l and k = 3 can be solved in polynomial time for an arbitrary multigraph G.
Year
DOI
Venue
1998
10.1007/3-540-49381-6_18
ISAAC
Keywords
Field
DocType
3-vertex connectivity augmentation,new edge,edge-and-vertex connectivity augmentation problem,fixed l,polynomial time,positive integers l,undirected multigraph,arbitrary multigraph,resulting multigraph,smallest number
K-edge,Integer,Discrete mathematics,Combinatorics,Multigraph,Computational geometry,Combinatorial optimization,Vertex connectivity,Time complexity,Connectivity,Mathematics
Conference
Volume
ISSN
ISBN
1533
0302-9743
3-540-65385-6
Citations 
PageRank 
References 
4
0.43
10
Authors
3
Name
Order
Citations
PageRank
Toshimasa Ishii111017.03
Hiroshi Nagamochi21513174.40
Toshihide Ibaraki32593385.64