Skip to content
Research Article Open access CC BY 3.0

Bishop Independence

Liam H. Harris, Stephanie Perkins, Paul A. Roach, Siân K. Jones

Journal of Advances in Mathematics and Computer Science · pp. 835–843 · Published 5 Sep 2013

10.9734/BJMCS/2013/5760

Abstract

Bishop Independence concerns determining the maximum number of Bishops that can be placed on a board such that no Bishop can attack any other Bishop. This paper presents the solution to the Bishop Independence problem, determining the Bishop Independence number, for all sizes of boards on the following topologies: the cylinder, the M¨obius strip, the torus, the Klein bottle and the surface of a cube.

Graph Bishop Graph Independence Bishop Independence Chess Chessboard

Cited by 3

Graph Theory Problems from Hexagonal and Traditional Chess

Stan Wagon · The College Mathematics Journal · 2014

Bishop Independence on the Surface of a Square Prism

Liam H. Harris, Stephanie Perkins, Paul A. Roach · Recreational Mathematics Magazine · 2021

Graph Theory Problems from Hexagonal and Traditional Chess

· The College Mathematics Journal · 2014

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

3

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.