Labelled Maximal Tubings on Paths and Graph Associahedra

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3448

Keywords:

Graph associahedra, dendriform algebra, triangulation, realization

Abstract

We determine the triangulation of a cyclohedron compatible with the Tamari order
on its faces. We dene 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 dene labelled maximal tubings on paths and give to an application of tubings in homological algebra.

Author Biographies

Sabri Kaan Gurbuzer, Dokuz Eylul University

Bedia Akyar

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How to Cite

Gurbuzer, S. K., & Akyar, B. (2019). Labelled Maximal Tubings on Paths and Graph Associahedra. European Journal of Pure and Applied Mathematics, 12(3), 734–748. https://doi.org/10.29020/nybg.ejpam.v12i3.3448