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Merging and Merge-Sort in a Single Hop Radio Network

Authors: Marcin Kik;

Merging and Merge-Sort in a Single Hop Radio Network

Abstract

We present two merging algorithms on a single-channel single-hop radio network without collision detection. The simpler of these algorithms merges two sorted sequences of length n in time 4n with energetic cost for each station $\approx {\rm lg} {\it n}$. The energetic cost of broadcasting is constant. This yields the merge-sort for n elements in time 2nlg n, where the energetic cost for each station is $\frac{1}{2}{\rm lg}^{2}{\it n}+\frac{7}{2} {\rm lg}{\it n}$ (the energetic cost of broadcasting is only 2 lg n), which seems to be suitable for practical applications due to its simplicity and low constants. We also present algorithm for merging in time O(nlg*n) with energetic cost O(lg* n).

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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
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!
7
Average
Top 10%
Top 10%
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