Note concerning an odd Langford sequence
type: Item
instance of: scholarly article
title: Note concerning an odd Langford sequence
zbMATH Open document ID: 1008.05026
author: Vaclav Linek
published in: European Journal of Combinatorics
publication date: 2003-03-26T00:00:00Z
review text: A Langford sequence of defect \(d\) and length \(m\) is a partition of \(\{a_1,a_2,\dots,a_{2m}\}\) into differences \(d,d+1,\dots,d+m-1\). (For example \(\{(5,3),(4,1),(6,2)\}\) is a \(d=2,m=3\) partition of the set \(\{1,2,\dots,6\}\).) In the present paper the author proves as a main result that the set \(\{1,2,\dots,2N+3\}\setminus \{p\}\) can be partitioned into differences \(1,3,\dots, 2N+1\) when \(N\geq 1\) and \(N\neq 1\); \(p\neq 3.\)
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05A18
zbMATH DE Number: 1567136
zbMATH Keywords: Langford sequence
zbMATH Keywords: partition
reviewed by: Norbert Hegyvári
MaRDI profile type: Publication
full work available at URL: eujc.2000.0437
OpenAlex ID: W1970283777
cites work: Extended skolem sequences
cites work: Q4198517
cites work: On Langford’s Problem (I)
cites work: Extended Langford sequences with small defects
cites work: Langford sequences: Perfect and hooked
cites work: On certain distributions of integers in pairs with given differences
DOI: 10.1006/EUJC.2000.0437
Recommended article: A generalization of very odd sequences
Recommended article: Q3821605
Recommended article: Q3582004
Recommended article: Q4786427
Recommended article: Q3360943
Recommended article: Q3123065
Recommended article: SOME FIXED POINT THEOREM USING COMMON PROPERTY(E.A.) IN INTUITIONISTIC FUZZY METRIC SPACE
Recommended article: A note on Vietoris' number sequence
Recommended article: Q4182579
Recommended article: Around Pelikán's conjecture on very odd sequences
description: scientific article; zbMATH DE number 1567136