Strict unimodality of plucking polynomials of rooted trees

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


We classify rooted trees which have strictly unimodal plucking polynomials (q-polynomials). We also give criteria for a trapezoidal shape of a plucking polynomial. We generalize results of Pak and Panova on strict unimodality of q-binomial coefficients.
Author Zhiyun Cheng
Zhiyun Cheng,,
, Sujoy Mukherjee
Sujoy Mukherjee,,
, Józef H. Przytycki (FMPI / IM)
Józef H. Przytycki,,
- Institute of Mathematics
, Xiao Wang
Xiao Wang,,
, Seung Yeop Yang
Seung Yeop Yang,,
Journal seriesJournal of Knot Theory and Its Ramifications, ISSN 0218-2165, (A 20 pkt)
Issue year2018
Publication size in sheets0.9
Keywords in Englishplucking polynomial, strict unimodality, rooted tree, gaussian polynomial, q-binomial coefficients
ASJC Classification2602 Algebra and Number Theory
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 20.0, 30-09-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.786; WoS Impact Factor: 2017 = 0.458 (2) - 2017=0.562 (5)
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