5 citations · 32 across the 42 of their papers we have counts for
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A Note on Combinatorial Derivation
Joshua Erde
Given an infinite group and a subset of we let (this is sometimes called the combinatorial derivation of ). A subset of…
An n-in-a-row Game
Joshua Erde
The usual -in-a-row game is a positional game in which two player alternately claim points in $\bb{Z}^2$ with the winner being the first player to claim consecutive points i…
Knight's Tours in Higher Dimensions
Joshua Erde
In this paper we are concerned with knight's tours on high-dimensional boards. Our main aim is to show that on the -dimensional board , with even, there is always a k…
The closed knight tour problem in higher dimensions
Bruno Golenia, Sylvain Golenia, Joshua Erde
The problem of existence of closed knight tours for rectangular chessboards was solved by Schwenk in 1991. Last year, in 2011, DeMaio and Mathew provide an extension of this result…