A short proof of the rook reciprocity theorem
type: Item
instance of: scholarly article
title: A short proof of the rook reciprocity theorem
zbMATH Open document ID: 0852.05017
published in: The Electronic Journal of Combinatorics
publication date: 1996-07-21T00:00:00Z
full work available at URL: https://eudml.org/doc/118929
full work available at URL: R10
review text: Summary: Rook numbers of complementary boards are related by a reciprocity law. A complicated formula for this law has been known for about fifty years, but recently Gessel and the present author independently obtained a much more elegant formula, as a corollary of more general reciprocity theorems. Here, following a suggestion of Goldman, we provide a direct combinatorial proof of this new formula.
Mathematics Subject Classification ID: 05A99
zbMATH DE Number: 861598
zbMATH Keywords: complementary boards
zbMATH Keywords: reciprocity
author: Timothy Y. Chow
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 861598