Labelled Maximal Tubings on Paths and Graph Associahedra
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, cilt.12, sa.3, ss.734-748, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 3
- Basım Tarihi: 2019
- Doi Numarası: 10.29020/nybg.ejpam.v12i3.3448
- Dergi Adı: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.734-748
- Anahtar Kelimeler: Graph associahedra, dendriform algebra, triangulation, realization
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
We determine the triangulation of a cyclohedron compatible with the Tamari order on its faces. We define a name of a tubing on a path and a plumbing leading us to construct the dendriform algebra of the collection of maximal tubings on paths. Moreover, we give an operad structure of associahedra and a module structure of cyclohedra via tubings. We define labelled maximal tubings on paths and give to an application of tubings in homological algebra.