Bishop's Move

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A q - QUEENS PROBLEM V . THE BISHOPS ’ PERIOD

Part I showed that the number of ways to place q nonattacking queens or similar chess pieces on an n× n square chessboard is a quasipolynomial function of n. We prove the previously empirically observed period of the bishops quasipolynomial, which is exactly 2 for three or more bishops. The proof depends on signed graphs and the Ehrhart theory of inside-out polytopes.

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ژورنال

عنوان ژورنال: Between the Species: An Online Journal for the Study of Philosophy and Animals

سال: 1988

ISSN: 1945-8487

DOI: 10.15368/bts.1988v4n2.11