Broadcast Schemes of Hypercubes

Broadcasting is a fundamental process in network communication, modeled as the dissemination of information across vertices in a graph. This paper investigates the broadcast problem in hypercube graphs and revisits the dimensional broadcast schemes. We propose a novel algorithm that generates all va...

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Vydané v:Journal of graph algorithms and applications Ročník 29; číslo 1; s. 125 - 134
Hlavní autori: Fakharan, Mohammadhossein, Harutyunyan, Hovhannes A., Alikhanifard, Pouria
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: 16.06.2025
ISSN:1526-1719, 1526-1719
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Shrnutí:Broadcasting is a fundamental process in network communication, modeled as the dissemination of information across vertices in a graph. This paper investigates the broadcast problem in hypercube graphs and revisits the dimensional broadcast schemes. We propose a novel algorithm that generates all valid minimum-time broadcast schemes by using the recursive structure of hypercubes. Additionally, we compute the total number of valid minimum-time broadcast schemes in hypercubes, which is also the number of all spanning binomial trees. We also give an enumeration of all valid minimum-time broadcast schemes.
ISSN:1526-1719
1526-1719
DOI:10.7155/jgaa.v29i1.3011