# A q-queens problem VII: Combinatorial types of nonattacking chess riders

@article{Hanusa2020AQP, title={A q-queens problem VII: Combinatorial types of nonattacking chess riders}, author={Christopher R. H. Hanusa and T. Zaslavsky}, journal={Australas. J Comb.}, year={2020}, volume={77}, pages={326-335} }

On a convex polygonal chessboard, the number of combinatorial types of nonattacking configuration of three identical chess riders with $r$ moves, such as queens, bishops, or nightriders, equals $r(r^2+3r-1)/3$, as conjectured by Chaiken, Hanusa, and Zaslavsky (2019). Similarly, for any number of identical 3-move riders the number of combinatorial types is independent of the actual moves.

#### One Citation

Bounds for Combinatorial Types of Non-Attacking Riders.

- Mathematics
- 2020

Given q non-attacking riders with r moves, the number of combinatorial types has not been found for r greater than 2 and q greater than 3. This paper aims to create upper and lower bound functions… Expand

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