Strict unimodality of plucking polynomials of rooted trees

DOI10.1142/S0218216518410092zbMath1392.05113MaRDI QIDQ4579856

Seung Yeop Yang, Sujoy Mukherjee, Zhiyun Cheng, Xiao Wang, Józef H. Przytycki

Publication date: 10 August 2018

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

\(q\)-binomial coefficientrooted treeGaussian polynomialplucking polynomialtrict unimodality

Mathematics Subject Classification ID

Trees (05C05) Graph polynomials (05C31) Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Coefficients of catalan states without nesting and maximal number of returns ⋮ B-type Catalan states of lattice crossing ⋮ Catalan states of lattice crossing: an application of plucking polynomial ⋮ Rooted trees with the same plucking polynomial

Cites Work

• Unnamed Item
• \(q\)-polynomial invariant of rooted trees
• Strict unimodality of \(q\)-binomial coefficients
• A partition of L(3,n) into saturated symmetric chains
• A symmetric chain decomposition of L(4,n)
• Catalan states of lattice crossing
• Realization of plucking polynomials
• Knots and Graphs: Two Centuries of Interaction
• An Invariant of Regular Isotopy
• Algebraic Combinatorics
• Quantum calculus

This page was built for publication: Strict unimodality of plucking polynomials of rooted trees