×

zbMATH — the first resource for mathematics

Quantized dual graded graphs. (English) Zbl 1230.05163
Summary: We study quantized dual graded graphs, which are graphs equipped with linear operators satisfying the relation \(DU - qU D = rI\). We construct examples based upon: the Fibonacci differential poset, permutations, standard Young tableau, and plane binary trees.

MSC:
05C30 Enumeration in graph theory
06A06 Partial orders, general
05C05 Trees
05C10 Planar graphs; geometric and topological aspects of graph theory
PDF BibTeX XML Cite
Full Text: EMIS EuDML arXiv