Discrete Mathematics & Theoretical Computer Science, Vol 9, No 1 (2007)

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DMTCS vol 9 no 1 (2007), pp. 273-292


Volume 9

n° 1 (2007), pp. 273-292

author:Klavžar, Sandi and Shpectorov, Sergey
title:Tribes of cubic partial cubes
keywords:Partial cube; Hypercube; Isometric embedding; Algorithm; Tribe
abstract: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.
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reference: Klavžar, Sandi and Shpectorov, Sergey (2007), Tribes of cubic partial cubes, Discrete Mathematics and Theoretical Computer Science 9, pp. 273-292
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Wed Nov 28 21:52:21 CET 2007 by falk