Broadcasting and Embedding Algorithms for a Half Hypercube Interconnection Network

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 240)

Abstract

The half hypercube interconnection network, has been proposed as a new variation of the hypercube, reducing its degree by approximately half with the same number of nodes as an n-dimensional hypercube, Q n . This paper proposes an algorithm for one-to-many broadcasting in an n-dimensional half hypercube, HH n , and examines the embedding between hypercube and half hypercube graphs. The results show that the one-to-many broadcasting time of the HH n can be accomplished in n + 1 when n is an even number and in \( 2 \times \lceil n/ 2\rceil \) when n is an odd number. The embedding of HH n into Q n can be simulated in constant time O(n) and the embedding of Q n into HH n in constant time O(1).

Keywords

Half hypercube One-to-many broadcasting Embedding 

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Copyright information

© Springer Science+Business Media Dordrecht(Outside the USA) 2013

Authors and Affiliations

  1. 1.Department of Computer Science EducationCatholic University of DaeguDaeguSouth Korea
  2. 2.Department of Computer ScienceUniversity of RochesterRochesterUSA
  3. 3.Department of Computer EducationSunchon National UniversitySunchonSouth Korea

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