2 papers
math.CO2025
A Proof of the 2004 Albert-Grossman-Nowakowski-Wolfe Conjecture on Alternating Linear Clobber
Xinyue Chen, Taylor Folkersen, Kamillah Hasham +5
Clobber is an alternate-turn two-player game introduced in 2001 by Albert, Grossman, Nowakowski and Wolfe. The board is a graph with each node colored black (x), white (o), or empt…
math.MG2025
Geometric properties of a new hyperbolic type metric
Xinyu Chen, Xiaohui Zhang
We introduce a new distance function \(\tilde{S}_{G,c}\) in a metric space \((X,d)\), defined by \[ \tilde{S}_{G,c}(x,y)=\log\left(1+\frac{c\,d(x,y)}{\sqrt{1+d(x,G)}\sqrt{1+d(y,G)}…