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Reducing edge connectivity to vertex connectivity
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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
Zvi Galil  Columbia University, and Tel-Aviv University
Giuseppe F. Italiano  Columbia University, and Università di Roma, Italy
Publisher
ACM  New York, NY, USA
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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.

 
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[1] J. Cheriyan, R. Thurimella, "On determining vertex connectivity", manuscript 1990.
 
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[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.
 
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[3] S. Even, R. E. Tarjan, "Network flow and testing flow graph connectivity", SIAM J. Comput. 4 (1975), 507-518.
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[5] Z. Galil, "Finding the vertex connectivity of graphs", SIAM J. Comput. 9 (1980), 197-199.
 
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[6] F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1969.
 
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[7] J. Hopcroft, R. E. Tarjan, "Dividing a graph into triconnected components", SIAM J. Comput. 2 (1973), 135-158.
 
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[8] A. Kanevsky, V. Ramanchandran, "Improved algorithms for graph four-connectivity", Proc. 28th Annual Symp. on Foundations on Computer Science, 1987, 252-259.
 
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[9] D. W. Matula, "Determining edge connectivity in O(nm)", Proc. 28th Annual Symp. on Foundations of Computer Science, 1987, 249-251.
 
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[11] R. E. Tarjan, "Depth-first search and linear graph algorithms", SIAM J. Comput. 1 (1972), 146-160.


Collaborative Colleagues:
Zvi Galil: colleagues
Giuseppe F. Italiano: colleagues