36 citations · 164 across the 59 of their papers we have counts for
59 papers
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
Inverting the General Order Sweep Map
Ying Wang, Guoce Xin, Yingrui Zhang
Building upon the foundational work of Thomas and Williams on the modular sweep map, Garsia and Xin have developed a straightforward algorithm for the inversion of the sweep map on…
A Note on Generalized Repunit Numerical Semigroups
Feihu Liu, Guoce Xin, Suting Ye +1
Let be relative prime positive integers with . The Frobenius number is the largest integer not belonging to the numerical semigroup $\lan…
Algebraic Volume for Polytope Arise from Ehrhart Theory
Guoce Xin, Xinyu Xu, Yingrui Zhang +1
Volume computation for -polytopes is fundamental in mathematics. There are known volume computation algorithms, mostly based on triangulation or signed-decompositi…
On the Frobenius Number and Genus of a Collection of Semigroups Generalizing Repunit Numerical Semigroups
Feihu Liu, Guoce Xin, Suting Ye +1
Let be a sequence of relative prime positive integers with . The Frobenius number is the largest integer not belonging to the numerica…
Fast Evaluation of Generalized Todd Polynomials: Applications to MacMahon's Partition Analysis and Integer Programming
Guoce Xin, Yingrui Zhang, ZiHao Zhang
The Todd polynomials, denoted as , are characterised by their generating functions: …