Latin cubes of order ≤5

Gary L. Mullen; Robert E. Weber

doi:10.1016/0012-365X(80)90267-8

Latin cubes of order ≤5

Gary L. Mullen, Robert E. Weber

Mathematics

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

10 Scopus citations

Abstract

If c_n represents the number of reduced Latin cubes of order n then c₁ = c₂ = c₃ = 1, c₄ = 64 and c₅ = 40246. Moreover if λ_n and λ′_n denote the number of disjoint isomorphism and isotopy classes of reduced Latin cubes of order n respectively, then λ_n = λ′_n = 1 for n ≤ 3 while λ₄ = 19, λ′₄ = 12, and λ₅ = 1860.

Original language	English (US)
Pages (from-to)	291-297
Number of pages	7
Journal	Discrete Mathematics
Volume	32
Issue number	3
DOIs	https://doi.org/10.1016/0012-365X(80)90267-8
State	Published - 1980

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(80)90267-8

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@article{1ef4f8b9429d472ca437a2436d9de291,

title = "Latin cubes of order ≤5",

abstract = "If cn represents the number of reduced Latin cubes of order n then c1 = c2 = c3 = 1, c4 = 64 and c5 = 40246. Moreover if λn and λ′n denote the number of disjoint isomorphism and isotopy classes of reduced Latin cubes of order n respectively, then λn = λ′n = 1 for n ≤ 3 while λ4 = 19, λ′4 = 12, and λ5 = 1860.",

author = "Mullen, {Gary L.} and Weber, {Robert E.}",

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doi = "10.1016/0012-365X(80)90267-8",

language = "English (US)",

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journal = "Discrete Mathematics",

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T1 - Latin cubes of order ≤5

AU - Mullen, Gary L.

AU - Weber, Robert E.

PY - 1980

Y1 - 1980

N2 - If cn represents the number of reduced Latin cubes of order n then c1 = c2 = c3 = 1, c4 = 64 and c5 = 40246. Moreover if λn and λ′n denote the number of disjoint isomorphism and isotopy classes of reduced Latin cubes of order n respectively, then λn = λ′n = 1 for n ≤ 3 while λ4 = 19, λ′4 = 12, and λ5 = 1860.

AB - If cn represents the number of reduced Latin cubes of order n then c1 = c2 = c3 = 1, c4 = 64 and c5 = 40246. Moreover if λn and λ′n denote the number of disjoint isomorphism and isotopy classes of reduced Latin cubes of order n respectively, then λn = λ′n = 1 for n ≤ 3 while λ4 = 19, λ′4 = 12, and λ5 = 1860.

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U2 - 10.1016/0012-365X(80)90267-8

DO - 10.1016/0012-365X(80)90267-8

M3 - Article

AN - SCOPUS:0039860078

SN - 0012-365X

VL - 32

SP - 291

EP - 297

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 3

ER -

Latin cubes of order ≤5

Abstract

All Science Journal Classification (ASJC) codes

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