TY - GEN

T1 - A divide-and-conquer algorithm for computing a most reliable source on an unreliable ring-embedded tree

AU - Ding, Wei

AU - Xue, Guoliang

PY - 2010

Y1 - 2010

N2 - Given an unreliable communication network, we seek a most reliable source (MRS) of the network, which maximizes the expected number of nodes that are reachable from it. The problem of computing an MRS in general graphs is #P-hard. However, this problem in tree networks has been solved in a linear time. A tree network has a weakness of low capability of failure tolerance. Embedding rings into it by adding some additional certain edges to it can enhance its failure tolerance, resulting in another class of sparse networks, called the ring-tree networks. This class of network also has an underlying tree-like topology, leading to its advantage of being easily administrated. This paper concerns with an important case whose underlying topology is a strip graph, called λ-rings network, and focuses on an unreliable λ-rings network where each link has an independent operational probability while all nodes are immune to failures. We apply the Divide-and-Conquer approach to design a fast algorithm for computing its an MRS, and employ a binary division tree (BDT) to analyze its time complexity to be O(||λ||22+⌈ log|λ|⌉·||λ||1).

AB - Given an unreliable communication network, we seek a most reliable source (MRS) of the network, which maximizes the expected number of nodes that are reachable from it. The problem of computing an MRS in general graphs is #P-hard. However, this problem in tree networks has been solved in a linear time. A tree network has a weakness of low capability of failure tolerance. Embedding rings into it by adding some additional certain edges to it can enhance its failure tolerance, resulting in another class of sparse networks, called the ring-tree networks. This class of network also has an underlying tree-like topology, leading to its advantage of being easily administrated. This paper concerns with an important case whose underlying topology is a strip graph, called λ-rings network, and focuses on an unreliable λ-rings network where each link has an independent operational probability while all nodes are immune to failures. We apply the Divide-and-Conquer approach to design a fast algorithm for computing its an MRS, and employ a binary division tree (BDT) to analyze its time complexity to be O(||λ||22+⌈ log|λ|⌉·||λ||1).

KW - Divide-and-Conquer algorithm

KW - Most reliable source

KW - ring-tree

KW - underlying topology

UR - http://www.scopus.com/inward/record.url?scp=78650851225&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650851225&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-17461-2_22

DO - 10.1007/978-3-642-17461-2_22

M3 - Conference contribution

AN - SCOPUS:78650851225

SN - 3642174604

SN - 9783642174605

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

SP - 268

EP - 280

BT - Combinatorial Optimization and Applications - 4th International Conference, COCOA 2010, Proceedings

T2 - 4th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2010

Y2 - 18 December 2010 through 20 December 2010

ER -