Zigzag structure of complexes
组合数学
2007-05-23 v1
摘要
Inspired by Coxeter's notion of Petrie polygon for -polytopes (see \cite{Cox73}), we consider a generalization of the notion of zigzag circuits on complexes and compute the zigzag structure for several interesting families of -polytopes, including semiregular, regular-faced, Wythoff Archimedean ones, Conway's 4-polytopes, half-cubes, folded cubes. Also considered are regular maps and Lins triality relations on maps.
引用
@article{arxiv.math/0405279,
title = {Zigzag structure of complexes},
author = {Michel Deza and Mathieu Dutour},
journal= {arXiv preprint arXiv:math/0405279},
year = {2007}
}
备注
19 pages, 3 figures, 7 tables