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Asymptotic enumeration of 2- and 3-SAT functions

Descriptive

TypeOfResource
Text
TitleInfo (ID = T-1)
Title
Asymptotic enumeration of 2- and 3-SAT functions
Identifier
ETD_2600
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000053609
Language
LanguageTerm (authority = ISO639-2); (type = code)
eng
Genre (authority = marcgt)
theses
Subject (ID = SBJ-1); (authority = RUETD)
Topic
Mathematics
Subject (ID = SBJ-2); (authority = ETD-LCSH)
Topic
Combinatorial analysis
Subject (ID = SBJ-3); (authority = ETD-LCSH)
Topic
Graph theory
Subject (ID = SBJ-4); (authority = ETD-LCSH)
Topic
Hypergraphs
Abstract (type = abstract)
We are interested in the number, G(k,n), of Boolean functions of n variables definable by k-SAT formulae. First, in Chapter 2, we give an alternate proof of a conjecture of Bollobas, Brightwell and Leader, first proved by P. Allen, giving the asymptotics for G(2,n). One step in the proof determines the asymptotics of the number of "odd-blue-triangle-free" graphs on n vertices. Then, in Chapter 3, we prove asymptotics for G(3,n). This is a strong form of the case k=3 of a conjecture of Bollobas et al., that for fixed k asks for the asymptotics of the logarithm of G(k,n).
PhysicalDescription
Form (authority = gmd)
electronic resource
Extent
vi, 84 p. : ill.
InternetMediaType
application/pdf
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text/xml
Note (type = degree)
Ph.D.
Note
Includes abstract
Note
Vita
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Liviu Vasile Ilinca
Name (ID = NAME-1); (type = personal)
NamePart (type = family)
Ilinca
NamePart (type = given)
Liviu
NamePart (type = date)
1980-
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author
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Liviu Ilinca
Name (ID = NAME-2); (type = personal)
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Kahn
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Jeffry
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chair
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Advisory Committee
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Jeffry Kahn
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Beck
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Jozsef
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internal member
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Advisory Committee
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Jozsef Beck
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Szemeredi
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Endre
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internal member
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Advisory Committee
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Endre Szemeredi
Name (ID = NAME-5); (type = personal)
NamePart (type = family)
Steger
NamePart (type = given)
Angelika
Role
RoleTerm (authority = RULIB)
outside member
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Advisory Committee
DisplayForm
Angelika Steger
Name (ID = NAME-1); (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (ID = NAME-2); (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
OriginInfo
DateCreated (qualifier = exact)
2010
DateOther (qualifier = exact); (type = degree)
2010
Place
PlaceTerm (type = code)
xx
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3DR2VJP
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (AUTHORITY = GS); (ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder (ID = PRH-1); (type = personal)
Name
FamilyName
Ilinca
GivenName
Liviu
Role
Copyright Holder
RightsEvent (ID = RE-1); (AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-04-14 02:13:21
AssociatedEntity (ID = AE-1); (AUTHORITY = rulib)
Role
Copyright holder
Name
Liviu Ilinca
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject (ID = AO-1); (AUTHORITY = rulib)
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.
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Technical

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ETD
MimeType (TYPE = file)
application/pdf
MimeType (TYPE = container)
application/x-tar
FileSize (UNIT = bytes)
440320
Checksum (METHOD = SHA1)
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