5 citations · 25 across the 15 of their papers we have counts for
8 papers · 1 filter
s-Inversion Sequences and P-Partitions of Type B
William Y. C. Chen, Alan J. X. Guo, Peter L. Guo +2
Given a sequence of positive integers, the inversion sequences with respect to , or -inversion sequences, were introduced by Savage and Schuster in their…
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
William Y. C. Chen, Neil J. Y. Fan, Alan J. X. Guo +3
Let be a Coxeter group, and for , let be the Kazhdan-Lusztig -polynomial indexed by and . In this paper, we present a combinatorial proof of th…
Winning strategies for aperiodic subtraction games
Alan Guo
We provide a winning strategy for sums of games of MARK-t, an impartial game played on the nonnegative integers where each move consists of subtraction by an integer between 1 and…
Erratum to: Lattice point methods for combinatorial games
Alan Guo, Ezra Miller
We correct Definition 6.3, Proposition 6.7, and Section 7 in the published version of our paper.
Algorithms for lattice games
Alan Guo, Ezra Miller
This paper provides effective methods for the polyhedral formulation of impartial finite combinatorial games as lattice games. Given a rational strategy for a lattice game, a polyn…
Trivariate monomial complete intersections and plane partitions
Charles Chen, Alan Guo, Xin Jin +1
We consider the homogeneous components U_r of the map on R = k[x,y,z]/(x^A, y^B, z^C) that multiplies by x + y + z. We prove a relationship between the Smith normal forms of submat…