TY - JOUR

T1 - A linear time algorithm for computing a most reliable source on a tree network with faulty nodes

AU - Ding, Wei

AU - Xue, Guoliang

N1 - Funding Information:
We thank the anonymous reviewers for their helpful comments on an earlier version of this paper which have helped to significantly improve the presentatiton of the paper. The research of the second author was supported in part by NSF grant CCF-0830739. The information reported here does not reflect the position or the policy of the federal government.

PY - 2011/1/21

Y1 - 2011/1/21

N2 - Given an unreliable communication network, we seek for a node which maximizes the expected number of nodes that are reachable from it. Such a node is called a most reliable source (MRS) of the network. In communication networks, failures may occur to both links and nodes. Previous studies have considered the case where each link has an independent operational probability, while the nodes are immune to failures. In practice, however, failures may happen to the nodes as well, including both transmitting fault and receiving fault. Recently, another variant of the MRS problem is studied, where all links are immune to failures and each node has an independent transmitting probability and receiving probability, and an O(n2) time algorithm is presented for computing an MRS on tree networks with n nodes. In this paper, we present a faster algorithm for this problem, with a time complexity of O(n).

AB - Given an unreliable communication network, we seek for a node which maximizes the expected number of nodes that are reachable from it. Such a node is called a most reliable source (MRS) of the network. In communication networks, failures may occur to both links and nodes. Previous studies have considered the case where each link has an independent operational probability, while the nodes are immune to failures. In practice, however, failures may happen to the nodes as well, including both transmitting fault and receiving fault. Recently, another variant of the MRS problem is studied, where all links are immune to failures and each node has an independent transmitting probability and receiving probability, and an O(n2) time algorithm is presented for computing an MRS on tree networks with n nodes. In this paper, we present a faster algorithm for this problem, with a time complexity of O(n).

KW - Most reliable source

KW - Receiving probability

KW - Transmitting probability

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U2 - 10.1016/j.tcs.2009.08.003

DO - 10.1016/j.tcs.2009.08.003

M3 - Article

AN - SCOPUS:78650587290

SN - 0304-3975

VL - 412

SP - 225

EP - 232

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 3

ER -