eng
episciences.org
Discrete Mathematics & Theoretical Computer Science
1365-8050
2007-01-01
Vol. 9 no. 1
Graph and Algorithms
10.46298/dmtcs.398
398
journal article
Tribes of cubic partial cubes
Sandi Klavžar
Sergey Shpectorov
Graphs and Algorithms
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.
https://dmtcs.episciences.org/398/pdf
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]