TY - JOUR

T1 - Broadcasting with linearly bounded transmission faults

AU - Ga̧sieniec, L.

AU - Pelc, A.

N1 - Funding Information:
-1 Research supported in part by NSERC grant OGP 0008136. * Corresponding author. E-mail: pelc@uqah.uquebec.ca. ’ This work was done during the author’s stay at the Universitt fellow.

PY - 1998/3/25

Y1 - 1998/3/25

N2 - We consider broadcasting with a linearly bounded number of transmission failures. For a constant parameter 0 < α < 1 we assume that at most αi faulty transmissions can occur during the first i time units of the communication process, for every natural number i. Every informed node can transmit information to at most one neighbor in a unit of time. Faulty transmissions have no effect. We investigate worst-case optimal non-adaptive broadcasting time under this fault model, for several communication networks. We show, e.g., that for the n-node line network this time is linear in n, if α < 1/2, and exponential otherwise. For the hypercube and the complete graph, broadcasting in the linearly bounded fault model can be performed in time logarithmic in the number of nodes.

AB - We consider broadcasting with a linearly bounded number of transmission failures. For a constant parameter 0 < α < 1 we assume that at most αi faulty transmissions can occur during the first i time units of the communication process, for every natural number i. Every informed node can transmit information to at most one neighbor in a unit of time. Faulty transmissions have no effect. We investigate worst-case optimal non-adaptive broadcasting time under this fault model, for several communication networks. We show, e.g., that for the n-node line network this time is linear in n, if α < 1/2, and exponential otherwise. For the hypercube and the complete graph, broadcasting in the linearly bounded fault model can be performed in time logarithmic in the number of nodes.

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U2 - 10.1016/S0166-218X(97)00107-8

DO - 10.1016/S0166-218X(97)00107-8

M3 - Article

AN - SCOPUS:0042855217

VL - 83

SP - 121

EP - 133

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

IS - 1-3

ER -