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Computational aspects of the Combinatorial Nullstellensatz method via a polynomial approach to matrix and hypermatrix algebra

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TitleInfo
Title
Computational aspects of the Combinatorial Nullstellensatz method via a polynomial approach to matrix and hypermatrix algebra
Name (type = personal)
NamePart (type = family)
Gnang
NamePart (type = given)
Edinah K.
DisplayForm
Edinah Gnang
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Elgammal
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Ahmed
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Ahmed Elgammal
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Advisory Committee
Role
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chair
Name (type = personal)
NamePart (type = family)
Retakh
NamePart (type = given)
Vladimir
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Vladimir Retakh
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Advisory Committee
Role
RoleTerm (authority = RULIB)
co-chair
Name (type = personal)
NamePart (type = family)
Szegedy
NamePart (type = given)
Mario
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Mario Szegedy
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Sloane
NamePart (type = given)
Neil
DisplayForm
Neil Sloane
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)
2013
DateOther (qualifier = exact); (type = degree)
2013-10
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
We discuss a polynomial encoding which provides a unified framework for discussing the algebra and the spectral analysis of matrices and hypermatrices. In addition to describing some algorithms for performing orthogonalization and spectral analysis of hypermatrices, we discuss some computational aspects, more specifically the important role of symmetries in Alon’s Combinatorial Nullstellensatz method for solving combinatorial problems.
Subject (authority = RUETD)
Topic
Computer Science
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_5049
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
viii, 80 p. : ill.
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Edinah K. Gnang
Subject (authority = ETD-LCSH)
Topic
Combinatorial analysis
Subject
Name (authority = LC-NAF)
NamePart (type = personal)
Alon, Noga
Subject (authority = ETD-LCSH)
Topic
Matrices
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/T3CJ8BHX
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
Gnang
GivenName
Edinah
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2013-09-25 23:30:47
AssociatedEntity
Name
Edinah Gnang
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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