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On the construction of minimal broadcast networks

Authors: GARGANO, Luisa; VACCARO, Ugo;

On the construction of minimal broadcast networks

Abstract

AbstractBroadcast is the task of transmitting a message originated at a node in a network to all the other nodes. In this paper, we consider the problem of constructing minimal broadcast networks, that is, communication networks such that broadcast can be performed, from any node, in minimum time. The algorithms we propose allow us to improve known bounds on the minimum number of communication lines needed in minimal broadcast networks. We give some numerical evidence that our algorithms also perform well in practice.

Country
Italy
Keywords

Graph theory, minimal broadcast networks, Deterministic network models in operations research, communication networks, Programming involving graphs or networks

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    40
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Average
Top 10%
Average
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