Tribes of cubic partial cubes

Research output: Contribution to journalArticle


Partial cubes are graphs isometrically embeddable into hypercubes. Three infinite families and a few sporadic examples of cubic partial cubes are known. The concept of a tribe is introduced as means to systematize the known examples and establish relations among them. Efficient methods of computation of tribes are developed and several concrete tribes, that include known, as well as new cubic partial cubes, are computed by hand and with the use of a computer.
Original languageEnglish
Pages (from-to)273-291
Number of pages19
JournalDiscrete Mathematics and Theoretical Computer Science
Issue number1
Publication statusPublished - 1 Jan 2007


  • partial cube
  • hypercube
  • tribe
  • isometric embedding
  • algorithm


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