159 citations · 178 across the 33 of their papers we have counts for
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Catalan structures arising from pattern-avoiding Stoimenow matchings and other Fishburn objects
Shuzhen Lv, Sergey Kitaev, Philip B. Zhang
In connection with Vassiliev's knot invariants, Stoimenow introduced in 1998 a class of matchings, also known as regular linearized chord diagrams. These matchings are linked to va…
Joint equidistributions of mesh patterns 123 and 132 with minus antipodal shadings
Shuzhen Lv, Philip B. Zhang
The study of joint equidistributions of mesh patterns 123 and 132 with the same symmetric shadings was recently initiated by Kitaev and Lv, where 75 of 80 potential joint equidistr…
Log-concavity of inverse Kazhdan-Lusztig polynomials of paving matroids
Matthew H. Y. Xie, Philip B. Zhang
Gao and Xie (2021) conjectured that the inverse Kazhdan-Lusztig polynomial of any matroid is log-concave. Although the inverse Kazhdan-Lusztig polynomial may not always have only r…
Descent generating polynomials for ()- and ()-stack-sortable (pattern-avoiding) permutations
Sergey Kitaev, Philip B. Zhang
In this paper, we find distribution of descents over - and -stack-sortable permutations in terms of Eulerian polynomials. Our results generalize the enumeration resul…
Joint equidistributions of mesh patterns 123 and 321 with symmetric and minus-antipodal shadings
Shuzhen Lv, Philip B. Zhang
In this paper, we extend recent results by Lv and Kitaev by proving 20 (out of 22 possible) joint equidistributions of mesh patterns 123 and 321 with symmetric shadings, as well as…