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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2014.tde-26082014-095951
Document
Author
Full name
Marcelo Matheus Gauy
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2014
Supervisor
Committee
Kohayakawa, Yoshiharu (President)
Morris, Robert David
Mota, Guilherme Oliveira
Title in Portuguese
Erdos-Ko-Rado em famílias aleatórias
Keywords in Portuguese
famílias intersectantes
grafos aleatórios
princípios de transferência
teorema de Erdos-Ko-Rado
Abstract in Portuguese
Estudamos o problema de famílias intersectantes extremais em um subconjunto aleatório da família dos subconjuntos com exatamente k elementos de um conjunto dado. Obtivemos uma descrição quase completa da evolução do tamanho de tais famílias. Versões semelhantes do problema foram estudadas por Balogh, Bohman e Mubayi em 2009, e por Hamm e Kahn, e Balogh, Das, Delcourt, Liu e Sharifzadeh de maneira concorrente a este trabalho.
Title in English
Erdos-Ko-Rado in random families
Keywords in English
Erdos-Ko-Rado theorem
intersecting families
random graphs
transference principles
Abstract in English
We studied the problem of maximal intersecting families in a random subset of the family of subsets with exactly k elements from a given set. We obtained a nearly complete description of the evolution of the size of such families. Similar versions of this problem have been studied by Balogh, Bohman and Mubayi in 2009, and by Hamm and Kahn, and Balogh, Das, Delcourt, Liu and Sharifzadeh concurrently with this work.
 
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dissertacaogauy.pdf (731.74 Kbytes)
Publishing Date
2014-08-26
 
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