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On Erdős-Ko-Rado for random hypergraphs

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TitleInfo
Title
On Erdős-Ko-Rado for random hypergraphs
Name (type = personal)
NamePart (type = family)
Hamm
NamePart (type = given)
Arran
DisplayForm
Arran Hamm
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Kahn
NamePart (type = given)
Jeff
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Jeff Kahn
Affiliation
Advisory Committee
Role
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chair
Name (type = personal)
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Kopparty
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Swastik
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Swastik Kopparty
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Advisory Committee
Role
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internal member
Name (type = personal)
NamePart (type = family)
Beck
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Jozsef
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Jozsef Beck
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Bohman
NamePart (type = given)
Tom
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Tom Bohman
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2014
DateOther (qualifier = exact); (type = degree)
2014-10
CopyrightDate (encoding = w3cdtf)
2014
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
On Erdős-Ko-Rado for Random Hypergraphs o by Arran Hamm Dissertation Director: Jeff Kahn Denote by Hk (n, p) the random k-graph in which each k-subset of {1, . . . , n} is present with probability p, independent of other choices. This dissertation addresses the question: for which p0 will Hk (n, p) satisfy the “Erd˝s-Ko-Rado property” provided that o p > p0 ? This question was first studied by Balogh, Bohman, and Mubayi where they dealt mainly with k < n 2 −γ (for some γ > 0). Our first main result gives the desired p0 when k < cn log(n) (for c < 1 ) and indeed contains the main results of Balogh et 4 1 al. concerning when Hk (n, p) satisfies EKR a.s. (that is, with probability tending to 1 as n → ∞). Additionally, more or less answering a question of Balogh et al., we show: there is a fixed ε > 0 such that if n = 2k + 1 and p > 1 − ε, then Hk (n, p) has the EKR property a.s. ii
Subject (authority = RUETD)
Topic
Mathematics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_5897
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (vi, 71 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Hypergraphs
Note (type = statement of responsibility)
by Arran Hamm
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3GX491F
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Hamm
GivenName
Arran
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2014-09-24 16:12:01
AssociatedEntity
Name
Arran Hamm
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical

RULTechMD (ID = TECHNICAL1)
ContentModel
ETD
OperatingSystem (VERSION = 5.1)
windows xp
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