4 citations · 12 across the 18 of their papers we have counts for
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Quadratic-Defect Completions of Spherical -Design Orbits
Kuan-Cheng Chien, Ming-Hsuan Kang
We study how spherical -designs arising from finite group orbits can be completed to spherical -designs by adjoining further orbits, allowing weights in the general theory. F…
Ramanujan Cayley Graphs with Normal Connection Sets in Ratio-One Frobenius Groups
Ming-Hsuan Kang, Chi-Jung Yang
Let be a finite Frobenius group with and . We classify all Ramanujan Cayley graphs of whose connection sets are normal, in the sense of being un…
A solution to Butler's positivity conjecture
Peter L. Guo, Mingyang Kang, Rui Xiong
Let be distinct partitions such that and . We prove Butler's positivity conjecture posed in 1994: the expansion of the Macdonald intersecti…
A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials
Peter L. Guo, Mingyang Kang, Jiaji Liu
We prove a multivariate Lam--Postnikov--Pylyavskyy type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polyno…
Spherical 2-Designs from Finite Group Orbits
Kuan-Cheng Chien, Ming-Hsuan Kang
We classify all spherical 2-designs that arise as orbits of finite group actions on real inner product spaces. Although it is well known that such designs can occur in representati…
Hybrid Grothendieck polynomials
Peter L. Guo, Mingyang Kang, Jiaji Liu
For a skew shape , we define the hybrid Grothendieck polynomial $${G}_{λ/μ}(\textbf{x};\textbf{t};\textbf{w}) =\sum_{T\in \mathrm{SVRPP}(λ/μ)} \textbf{x}^{\mathrm{ircont}(T)}\…