Title :
A linear time augmenting algorithm for 3-edge-connectivity augmentation problems
Author :
Watanabe, Toshimasa ; Yamakado, Mitsuhiro ; Onaga, Kenji
Author_Institution :
Fac. of Eng., Hiroshima Univ., Higashi-Hiroshima, Japan
Abstract :
The subject is the 3-edge-connectivity augmentation problem. Given an undirected multi-graph G0=(V, E), find an edge set E´ of minimum cardinality such that the graph (V, E∪E´) is 3-edge-connected, where each edge of E´ connects vertices of V. The authors propose an O(|V|+|E|) augmenting algorithm for the problem. It finds a solution to the 3-edge-connectivity augmentation problem if all k-components ( k⩽3) of G0 are available
Keywords :
graph theory; topology; 3-edge-connectivity augmentation problems; edge set; linear time augmenting algorithm; minimum cardinality; undirected multi-graph; vertices; Approximation algorithms; Bridges; Circuits and systems; Mathematics; Partitioning algorithms; Polynomials; Tree graphs;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176575