arXiv:1409.5475 Abstract | arXiv Analytics

arXiv:1409.5475 [math.CO]Abstract References Reviews Resources

A Lattice Path Interpretation of the Diamond Product

Published 2014-09-18Version 1

The diamond product is the poset operation that when applied to the face lattices of two polytopes results in the face lattice of the Cartesian product of the polytopes. Application of the diamond product to two Eulerian posets is a bilinear operation on the cd-indices of the two posets, yielding a product on cd-polynomials. A lattice path interpretation is provided for this product of two cd-monomials.

Categories: math.CO

Keywords: lattice path interpretation, diamond product, face lattice, polytopes results, bilinear operation

Related articles: Most relevant | Search more

arXiv:1801.09140 [math.CO] (Published 2018-01-27)

Zonotopes whose cellular strings are all coherent

Rob Edman, Pakawut Jiradilok, Gaku Liu, Thomas McConville

arXiv:2308.07409 [math.CO] (Published 2023-08-14)

Painted Tropical Complexes

Gabriel Kerr, Sophia Palcic

arXiv:1302.3012 [math.CO] (Published 2013-02-13)

Standard Young Tableaux and Colored Motzkin Paths

Sen-Peng Eu, Tung-Shan Fu, Justin T. Hou, Te-Wei Hsu