Strict unimodality of plucking polynomials of rooted trees
Zhiyun Cheng , Sujoy Mukherjee , Józef H. Przytycki , Xiao Wang , Seung Yeop Yang
AbstractWe 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.
|Journal series||Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, (A 20 pkt)|
|Publication size in sheets||0.9|
|Keywords in English||plucking polynomial, strict unimodality, rooted tree, gaussian polynomial, q-binomial coefficients|
|Score|| = 20.0, ArticleFromJournal|
= 20.0, ArticleFromJournal
|Publication indicators||: 2017 = 0.458 (2) - 2017=0.562 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.