| Reducing edge connectivity to vertex connectivity |
| Full text |
Pdf
(314 KB)
|
| Source
|
ACM SIGACT News
archive
Volume 22 , Issue 1 (Winter 1991)
table of contents
Pages: 57 - 61
Year of Publication: 1991
ISSN:0163-5700
|
|
Authors
|
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 9, Downloads (12 Months): 46, Citation Count: 3
|
|
|
ABSTRACT
We show how to reduce edge connectivity to vertex connectivity. Using this reduction, we obtain a linear-time algorithm for deciding whether an undirected graph is 3-edge-connected, and for computing the 3-edge-connected components of an undirected graph.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
[1] J. Cheriyan, R. Thurimella, "On determining vertex connectivity", manuscript 1990.
|
| |
2
|
[2] S. Even, "An algorithm for determining whether the the connectivity of a graph is at least k", SIAM J. Comput. 4 (1975), 393-396.
|
| |
3
|
[3] S. Even, R. E. Tarjan, "Network flow and testing flow graph connectivity", SIAM J. Comput. 4 (1975), 507-518.
|
 |
4
|
|
| |
5
|
[5] Z. Galil, "Finding the vertex connectivity of graphs", SIAM J. Comput. 9 (1980), 197-199.
|
| |
6
|
[6] F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1969.
|
| |
7
|
[7] J. Hopcroft, R. E. Tarjan, "Dividing a graph into triconnected components", SIAM J. Comput. 2 (1973), 135-158.
|
| |
8
|
[8] A. Kanevsky, V. Ramanchandran, "Improved algorithms for graph four-connectivity", Proc. 28th Annual Symp. on Foundations on Computer Science, 1987, 252-259.
|
| |
9
|
[9] D. W. Matula, "Determining edge connectivity in O(nm)", Proc. 28th Annual Symp. on Foundations of Computer Science, 1987, 249-251.
|
| |
10
|
|
| |
11
|
[11] R. E. Tarjan, "Depth-first search and linear graph algorithms", SIAM J. Comput. 1 (1972), 146-160.
|
|