EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.12, no.3, pp.734-748, 2019 (ESCI)
Article / Article
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Emerging Sources Citation Index (ESCI), Scopus
Graph associahedra, dendriform algebra, triangulation, realization, REALIZATION
Dokuz Eylül University Affiliated:
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.