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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Bibliographic Details
Published in:Journal of graph algorithms and applications Vol. 29; no. 1; pp. 125 - 134
Main Authors: Fakharan, Mohammadhossein, Harutyunyan, Hovhannes A., Alikhanifard, Pouria
Format: Journal Article
Language:English
Published: 16.06.2025
ISSN:1526-1719, 1526-1719
Online Access:Get full text
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Summary: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