8 citations · 48 across the 76 of their papers we have counts for
6 papers · 1 filter
Chameleon Coins
Tanya Khovanova, Konstantin Knop, Oleg Polubasov
We discuss coin-weighing problems with a new type of coin: a chameleon. A chameleon coin can mimic a fake or a real coin, and it can choose which coin to mimic for each weighing in…
Chocolate Numbers
Caleb Ji, Tanya Khovanova, Robin Park +1
In this paper, we consider a game played on a rectangular gridded chocolate bar. Each move, a player breaks the bar along a grid line. Each move after that consists of…
On the Structure of nil-Temperley-Lieb Algebras of type A
Niket Gowravaram, Tanya Khovanova
We investigate nil-Temperley-Lieb algebras of type A. We give a general description of the structure of monomials formed by the generators. We also show that the dimensions of thes…
P-positions in Modular Extensions to Nim
Tanya Khovanova, Karan Sarkar
In this paper, we consider a modular extension to the game of Nim, which we call -Modular Nim, and explore its optimal strategy. In -Modular Nim, a player can either make a s…
Weighing Coins and Keeping Secrets
Nicholas Diaco, Tanya Khovanova
In this expository paper we discuss a relatively new counterfeit coin problem with an unusual goal: maintaining the privacy of, rather than revealing, counterfeit coins in a set of…
Stern-Brocot Trees from Weighted Mediants
Dhroova Aiylam, Tanya Khovanova
In this paper we discuss a natural generalization of the Stern Brocot tree which comes from the introduction of weighted mediants. We focus our attention on the case , in wh…