2016/07/14 by Dallan McCarthy, Dave Witte Morris, McCarthy, Dallan +1
Computer Science · Engineering · Mathematics · #05C20 #05C45 #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Teaching and Learning Programming #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1607.04001
openalex publication_date 2016/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any two squares A and B of an m x n checkerboard, we determine whether it is possible to move a checker through a route that starts at A, ends at B, and visits each square of the board exactly once. Each step of the route moves to an adjacent square, either to the east or to the north, and may step off the edge of the board in a manner corresponding to the usual construction of a projective plane by applying a twist when gluing opposite sides of a rectangle. This generalizes work of M.H.Forbush et al. for the special case where m = n.