Covering a chessboard with staircase walks

Eyal Ackerman; Rom Pinchasi

doi:10.1016/j.disc.2013.07.017

Covering a chessboard with staircase walks

Eyal Ackerman, Rom Pinchasi

University of Haifa, Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

An ascending (resp., descending) staircase walk on a chessboard is a rook's path that goes either right or up (resp., down) in each step. We show that the minimum number of staircase walks that together visit every square of an n×n chessboard is ⌉2/3⌉.

Original language	American English
Pages (from-to)	2547-2551
Number of pages	5
Journal	Discrete Mathematics
Volume	313
Issue number	22
DOIs	https://doi.org/10.1016/j.disc.2013.07.017
State	Published - 2013

Keywords

Lattice path
Staircase walk

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2013.07.017

Cite this

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title = "Covering a chessboard with staircase walks",

abstract = "An ascending (resp., descending) staircase walk on a chessboard is a rook's path that goes either right or up (resp., down) in each step. We show that the minimum number of staircase walks that together visit every square of an n×n chessboard is ⌉2/3⌉.",

keywords = "Lattice path, Staircase walk",

author = "Eyal Ackerman and Rom Pinchasi",

note = "Funding Information: The second author was supported by a BSF grant (grant No. 2008290 ) and by an ISF grant (grant No. 1357/12 ).",

year = "2013",

doi = "10.1016/j.disc.2013.07.017",

language = "American English",

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pages = "2547--2551",

journal = "Discrete Mathematics",

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T1 - Covering a chessboard with staircase walks

AU - Ackerman, Eyal

AU - Pinchasi, Rom

N1 - Funding Information: The second author was supported by a BSF grant (grant No. 2008290 ) and by an ISF grant (grant No. 1357/12 ).

PY - 2013

Y1 - 2013

N2 - An ascending (resp., descending) staircase walk on a chessboard is a rook's path that goes either right or up (resp., down) in each step. We show that the minimum number of staircase walks that together visit every square of an n×n chessboard is ⌉2/3⌉.

AB - An ascending (resp., descending) staircase walk on a chessboard is a rook's path that goes either right or up (resp., down) in each step. We show that the minimum number of staircase walks that together visit every square of an n×n chessboard is ⌉2/3⌉.

KW - Lattice path

KW - Staircase walk

UR - http://www.scopus.com/inward/record.url?scp=84883039857&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2013.07.017

DO - 10.1016/j.disc.2013.07.017

M3 - Article

SN - 0012-365X

VL - 313

SP - 2547

EP - 2551

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 22

ER -

Covering a chessboard with staircase walks

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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