In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
TY - JOUR
AU - Baralić, Djordje
AU - Ivanović, Jelena
AU - Petrić, Zoran
PY - 2019
UR - https://raf.arh.bg.ac.rs/handle/123456789/1163
AB - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB - Elsevier B.V.
T2 - Discrete mathematics
T1 - A simple permutoassociahedron
VL - 342
IS - 12
SP - 111591
DO - 10.1016/j.disc.2019.07.007
ER -
@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
pages = "111591",
doi = "10.1016/j.disc.2019.07.007"
}
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete mathematics
Elsevier B.V.., 342(12), 111591.
https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete mathematics. 2019;342(12):111591.
doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete mathematics, 342, no. 12 (2019):111591,
https://doi.org/10.1016/j.disc.2019.07.007 . .
