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
    Faculity of Science Department of Mathematics Research Ass. Dr.
  • Bedia Akyar
    Aalborg University, Asso. Dr.

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Published

2019-07-25

Issue

Section

Nonlinear Analysis

How to Cite

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