Lam, Thomas Quantized dual graded graphs. (English) Zbl 1230.05163 Electron. J. Comb. 17, No. 1, Research Paper R88, 11 p. (2010). 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. Cited in 4 Documents MSC: 05C30 Enumeration in graph theory 06A06 Partial orders, general 05C05 Trees 05C10 Planar graphs; geometric and topological aspects of graph theory Keywords:Fibonacci differential poset; standard Young tableau; plane binary trees. PDF BibTeX XML Cite \textit{T. Lam}, Electron. J. Comb. 17, No. 1, Research Paper R88, 11 p. (2010; Zbl 1230.05163) Full Text: EMIS EuDML arXiv