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Star Decompositions of Cubes

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Abstract.

 Let S k denote the complete bipartite graph K 1, k and let Q n denote the n-cube. We prove that the obvious necessary conditions for the existence of an S k -decomposition of Q n are sufficient.

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Authors and Affiliations

  1.  Centre for Discrete Mathematics and Computing, Department of Mathematics, The University of Queensland, Queensland 4072, Australia. e-mail: db@maths.uq.edu.au, , , , , , AU

    Darryn E. Bryant

  2.  4520 Mathematics Department, Illinois State University, Normal, IL 61790-4520, USA e-mails:  2saad 3cve@math.ilstu.edu, , , , , , US

    Saad El-Zanati & Charles Vanden Eynden

  3.  Department of Discrete and Statistical Sciences, Auburn University, Auburn, AL 36849, USA. e-mail: hoffmdg@dms.auburn.edu, , , , , , US

    Dean G. Hoffman

Authors
  1. Darryn E. Bryant
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  2. Saad El-Zanati
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  3. Charles Vanden Eynden
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  4. Dean G. Hoffman
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Received: July 21, 1999 Final version received: May 16, 2000

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Bryant, D., El-Zanati, S., Eynden, C. et al. Star Decompositions of Cubes. Graphs Comb 17, 55–59 (2001). https://doi.org/10.1007/s003730170054

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  • DOI: https://doi.org/10.1007/s003730170054

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