4 papers
Characterizing circle graphs with binomial partial Petrial polynomials
Ruiqing Feng, Qi Yan, Xuan Zheng
The partial Petrial polynomial was first introduced by Gross, Mansour, and Tucker as a generating function that enumerates the Euler genera of all possible partial Petrials on a ri…
On certain integral Frobenius period maps for Shimura varieties and their reductions
Qijun Yan
We formulate an integral Frobenius period map for the framed crystalline prismatization of the -integral model of a Shimura variety with good reduction. By analyzi…
Partial Petrial polynomials for complete graphs and paths
Qi Yan, Yuancheng Li
Recently, Gross, Mansour, and Tucker introduced the partial Petrial polynomial, which enumerates all partial Petrials of a ribbon graph by Euler genus. They provided formulas or re…
On the constant partial-dual polynomials of hypermaps
Yibing Xiang, Qi Yan
In this paper, we introduce the partial-dual polynomial for hypermaps, extending the concept from ribbon graphs. We discuss the basic properties of this polynomial and characterize…