TY - GEN

T1 - Approximating minimum-power k-connectivity

AU - Nutov, Zeev

PY - 2008

Y1 - 2008

N2 - The Minimum-Power k -Connected Subgraph (MP k CS) problem seeks a power (range) assignment to the nodes of a given wireless network such that the resulting communication (sub)network is k-connected and the total power is minimum. We give a new very simple approximation algorithm for this problem that significantly improves the previously best known approximation ratios. Specifically, the approximation ratios of our algorithm are: 3 (improving (3 + 2/3)) for k = 2, 4 (improving (5 + 2/3)) for k = 3, k + 3 for k ∈ {4,5} and k + 5 for k ∈ {6,7} (improving k+2⌈(k+1)/2⌈), 3(k-1) (improving 3k) for any constant k. Our results are based on a (k+1)-approximation algorithm (improving the ratio k+4) for the problem of finding a Min-Power k -Inconnected Subgraph, which is of independent interest.

AB - The Minimum-Power k -Connected Subgraph (MP k CS) problem seeks a power (range) assignment to the nodes of a given wireless network such that the resulting communication (sub)network is k-connected and the total power is minimum. We give a new very simple approximation algorithm for this problem that significantly improves the previously best known approximation ratios. Specifically, the approximation ratios of our algorithm are: 3 (improving (3 + 2/3)) for k = 2, 4 (improving (5 + 2/3)) for k = 3, k + 3 for k ∈ {4,5} and k + 5 for k ∈ {6,7} (improving k+2⌈(k+1)/2⌈), 3(k-1) (improving 3k) for any constant k. Our results are based on a (k+1)-approximation algorithm (improving the ratio k+4) for the problem of finding a Min-Power k -Inconnected Subgraph, which is of independent interest.

UR - http://www.scopus.com/inward/record.url?scp=56449109596&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-85209-4_7

DO - 10.1007/978-3-540-85209-4_7

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AN - SCOPUS:56449109596

SN - 3540852085

SN - 9783540852087

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 86

EP - 93

BT - Ad-hoc, Mobile and Wireless Networks - 7th International Conference, ADHOC-NOW 2008, Proceedings

T2 - 7th International Conference on Ad-hoc, Mobile and Wireless Networks, ADHOC-NOW 2008

Y2 - 10 September 2008 through 12 September 2008

ER -