Sandi Klavžar ; Sergey Shpectorov - Tribes of cubic partial cubes

dmtcs:398 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 1 - https://doi.org/10.46298/dmtcs.398
Tribes of cubic partial cubesArticle

Authors: Sandi Klavžar 1; Sergey Shpectorov 2

  • 1 Department of Mathematics and Computer Science [Maribor]
  • 2 School of Mathematics [Birmingham]

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.


Volume: Vol. 9 no. 1
Section: Graph and Algorithms
Published on: January 1, 2007
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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