MINIMUM AUGMENTATION OF ANY CONNECTED GRAPH TO A K-EDGE-CONNECTED GRAPH.

Guo Ray Cai, Yu Geng Sun

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

For an undirected multigraph G//0 equals (V, E//0 ) and a positive integer K, the problem of minimum augmentation of G//0 with respect to K-edge-connectivity (or K-MA) is to find a minimum set of edges E which, when added to G//0 , results in an K-edge-connected graph G equals G//0 plus E equals (V, E//0 U E). The problem of K-MA is considered in the general case where the existing graph G//0 can be any connected graph and an efficient algorith is presented. Two new concepts, extended augmentation and irreducible graph, are defined and studied. The estimation of the lower bound for the number of augmenting edges is tight and achievable by the algorithm.

Original languageEnglish (US)
Pages (from-to)984-987
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - Jan 1 1986

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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title = "MINIMUM AUGMENTATION OF ANY CONNECTED GRAPH TO A K-EDGE-CONNECTED GRAPH.",
abstract = "For an undirected multigraph G//0 equals (V, E//0 ) and a positive integer K, the problem of minimum augmentation of G//0 with respect to K-edge-connectivity (or K-MA) is to find a minimum set of edges E which, when added to G//0 , results in an K-edge-connected graph G equals G//0 plus E equals (V, E//0 U E). The problem of K-MA is considered in the general case where the existing graph G//0 can be any connected graph and an efficient algorith is presented. Two new concepts, extended augmentation and irreducible graph, are defined and studied. The estimation of the lower bound for the number of augmenting edges is tight and achievable by the algorithm.",
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year = "1986",
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journal = "Proceedings - IEEE International Symposium on Circuits and Systems",
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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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MINIMUM AUGMENTATION OF ANY CONNECTED GRAPH TO A K-EDGE-CONNECTED GRAPH. / Cai, Guo Ray; Sun, Yu Geng.

In: Proceedings - IEEE International Symposium on Circuits and Systems, 01.01.1986, p. 984-987.

Research output: Contribution to journalConference article

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T1 - MINIMUM AUGMENTATION OF ANY CONNECTED GRAPH TO A K-EDGE-CONNECTED GRAPH.

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AU - Sun, Yu Geng

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N2 - For an undirected multigraph G//0 equals (V, E//0 ) and a positive integer K, the problem of minimum augmentation of G//0 with respect to K-edge-connectivity (or K-MA) is to find a minimum set of edges E which, when added to G//0 , results in an K-edge-connected graph G equals G//0 plus E equals (V, E//0 U E). The problem of K-MA is considered in the general case where the existing graph G//0 can be any connected graph and an efficient algorith is presented. Two new concepts, extended augmentation and irreducible graph, are defined and studied. The estimation of the lower bound for the number of augmenting edges is tight and achievable by the algorithm.

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