Extreme Weights in Steinhaus Triangles

Let {0=w0<w1<w2<…<wm} be the set of weights of binary Steinhaus triangles of size n, and let Wi be the set of sequences in F2n that generate triangles of weight wi. In this paper we obtain the values of wi and the corresponding sets Wi for i∈{2,3,m}, and partial results for i=m−1.

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Podrobná bibliografia
Vydané v:	Electronic notes in discrete mathematics Ročník 54; s. 349 - 354
Hlavní autori:	Brunat, Josep M., Maureso, Montserrat
Médium:	Journal Article Publikácia
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.10.2016
Predmet:	05 Combinatorics 05A Enumerative combinatorics 06 Order, lattices, ordered algebraic structures 06E Boolean algebras (Boolean rings) Algebra, Boolean Anells booleans Anells i àlgebres balanced Steinhaus triangles boolean Pascal triangles Classificació AMS Combinacions (Matemàtica) Combinatorial analysis Combinatòria Matemàtica discreta Matemàtiques i estadística Steinhaus triangles weights of triangles Àlgebra Àrees temàtiques de la UPC boolean Pascal triangles Steinhaus triangles weights of triangles balanced Steinhaus triangles
ISSN:	1571-0653, 1571-0653
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Popis
Shrnutí:	Let {0=w0<w1<w2<…<wm} be the set of weights of binary Steinhaus triangles of size n, and let Wi be the set of sequences in F2n that generate triangles of weight wi. In this paper we obtain the values of wi and the corresponding sets Wi for i∈{2,3,m}, and partial results for i=m−1.
ISSN:	1571-0653 1571-0653
DOI:	10.1016/j.endm.2016.09.060