Name
Abstract | ||
|---|---|---|
The number of ways to place q nonattacking queens, bishops, or similar chess pieces on an n x n square chessboard is essentially a quasipolynomial function of n (by Part I of this series). The period of the quasipolynomial is difficult to settle. Here we prove that the empirically observed period 2 for three to ten bishops is the exact period for every number of bishops greater than 2. The proof depends on signed graphs and the Ehrhart theory of inside-out polytopes. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.26493/1855-3974.1657.d75 | ARS MATHEMATICA CONTEMPORANEA |
Keywords | DocType | Volume |
Nonattacking chess pieces,Ehrhart theory,inside-out polytope,arrangement of hyperplanes,signed graph | Journal | 16 |
Issue | ISSN | Citations |
2 | 1855-3966 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Seth Chaiken | 1 | 10 | 2.50 |
| Christopher R. H. Hanusa | 2 | 27 | 6.63 |
| T. Zaslavsky | 3 | 297 | 56.67 |