By Ivanyi A. (ed.)

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Additional resources for Algorithms of informatics, vol. 2

Sample text

Vector timestamps can be used to order instructions that have been executed. , for all k, the coordinate V T (x)[k] is at most the corresponding coordinate V T (y)[k]. We write x

The target processor selected by disseminator pi is the first one that still needs to be notified by pi . Notifying messages need not to be replied to: a sender already knows the rumors of all the processors, that are active according to it, and the purpose of the message is to disseminate this knowledge. Regular-Phase Code for any processor pi , 0 ≤ i ≤ n − 1 01 receive messages 11 perform local computation 12 update the local arrays if pi is a collector, that has already heard about all the processors 13 14 then pi becomes a disseminator 15 compute set of destination processors: for each processor pj 16 if pj is active according to pi and pj is a neighbour of pi in graph G(n, t) 17 then add pj to destination set for a graph message if pi is a collector and pj is the first processor 18 about which pi has not heard yet 19 then send an inquiring message to pj 20 if pi is a disseminator and pj is the first processor that needs to be notified by pi 21 then send a notifying message to pj 22 if pj is a collector, from which an inquiring message was received in the receiving step of this phase then send a reply message to pj 23 30 send graph/inquiring/notifying/reply messages to corresponding destination sets Last-resort messages used during ending phases.

During regular phases processor: receives messages, updates local knowledge, checks its status, sends its knowledge to neighbours in communication graphs as well as inquiries about rumors and replies about its own rumor. During ending phases processor: receives messages, sends inquiries to all processors from which it has not heard yet, and replies about its own rumor. The regular phases are performed τ times; the number τ is a termination threshold. After this, the ending phase is performed four times.

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