Résumé
The Pancake graph is well known because of the open Pancake problem. It has the structure that any l-cycle, 6 ≤ l ≤ n!, can be embedded in the Pancake graph Pn; n ≥ 3. Recently it was shown that there are exactly n! 6 independent 6-cycles and n!(n-3) distinct 7-cycles in the graph. In this paper we characterize all distinct 8-cycles by giving their canonical forms as products of generating elements. It is shown that there are exactly n!(n 3+12n2103n+176) 16 distinct 8-cycles in Pn; n ≥ 4. A maximal set of independent 8- cycles contains n! 8 of these.
langue originale | Anglais |
---|---|
Pages (de - à) | 237-246 |
Nombre de pages | 10 |
journal | Ars Mathematica Contemporanea |
Volume | 7 |
Numéro de publication | 1 |
Etat de la publication | Publié - 17 janv. 2014 |
Modification externe | Oui |