Forbidden Intersection Patterns in the Families of Subsets (Introducing a Method)

2008 ◽  
pp. 119-140 ◽  
Author(s):  
Gyula O. H. Katona
Keyword(s):  
Families Of Subsets

scholarly journals A generalization of Sperner's theorem

1981 ◽  
Vol 31 (4) ◽  
pp. 481-485 ◽  
Author(s):  
D. E. Daykin ◽  
P. Frankl ◽  
C. Greene ◽  
A. J. W. Hilton
Keyword(s):  
Sperner's Theorem ◽  
Lym Inequality ◽  
Families Of Subsets

AbstractSome generalizations of Sperner's theorem and of the LYM inequality are given to the case when A1,… At are t families of subsets of {1,…,m} such that a set in one family does not properly contain a set in another.

Families of Subsets Without a Given Poset in Double Chains and Boolean Lattices

Order ◽  
2017 ◽  
Vol 35 (2) ◽  
pp. 349-362
Author(s):  
Jun-Yi Guo ◽  
Fei-Huang Chang ◽  
Hong-Bin Chen ◽  
Wei-Tian Li
Keyword(s):  
Boolean Lattices ◽  
Families Of Subsets

scholarly journals On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1387 ◽  
Author(s):  
Pavel Trojovský
Keyword(s):  
Characteristic Polynomial ◽  
Initial Conditions ◽  
Pell Numbers ◽  
Families Of Subsets

In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers. In this paper, we prove some results about the roots of the characteristic polynomial of this sequence, but we will consider general initial conditions. Since there are currently several types of generalizations of the Pell sequence, it is very difficult for anyone to realize what type of sequence an author really means. Thus, we will call this sequence the generalized k-distance Tribonacci sequence (Tn(k))n≥0.

scholarly journals Anticlusters and intersecting families of subsets

1989 ◽  
Vol 51 (1) ◽  
pp. 90-103 ◽  
Author(s):  
Jerrold R Griggs ◽  
James W Walker
Keyword(s):  
Intersecting Families ◽  
Families Of Subsets

Granular computing on information tables: Families of subsets and operators

2018 ◽  
Vol 442-443 ◽  
pp. 72-102 ◽  
Author(s):  
G. Chiaselotti ◽  
T. Gentile ◽  
F. Infusino
Keyword(s):  
Granular Computing ◽  
Information Tables ◽  
Families Of Subsets

scholarly journals Some properties of basic families of subsets

1973 ◽  
Vol 6 (4) ◽  
pp. 333-341 ◽  
Author(s):  
Thomas H. Brylawski
Keyword(s):  
Families Of Subsets
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