IX Knight’s tour

Martin Charles Golumbic; André Sainte-Laguë

doi:10.1007/978-3-030-61420-1_10

IX Knight’s tour

Martin Charles Golumbic, André Sainte-Laguë

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

77. At each move, a knight jumps from an even (or white) cell to an odd (or black) cell or vice versa [67]. We deduce, as did Euler [208, 209], that in a closed knight’s tour, the sum of the numbers in each row or column is even.

Original language	English
Title of host publication	Lecture Notes in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	71-76
Number of pages	6
DOIs	https://doi.org/10.1007/978-3-030-61420-1_10
State	Published - 2021

Publication series

Name	Lecture Notes in Mathematics
Volume	2261
ISSN (Print)	0075-8434
ISSN (Electronic)	1617-9692

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/978-3-030-61420-1_10

Cite this

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IX Knight’s tour

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