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Hypergraph NIM
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Descriptive

TitleInfo
Title
Hypergraph NIM
Name (type = personal)
NamePart (type = family)
Mursic
NamePart (type = given)
Peter
NamePart (type = date)
1988-
DisplayForm
Peter Mursic
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Boros
NamePart (type = given)
Endre
DisplayForm
Endre Boros
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
chair
Name (type = personal)
NamePart (type = family)
Gurvich
NamePart (type = given)
Vladimir
DisplayForm
Vladimir Gurvich
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Lidbetter
NamePart (type = given)
Thomas
DisplayForm
Thomas Lidbetter
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Yang
NamePart (type = given)
Jian
DisplayForm
Jian Yang
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Makino
NamePart (type = given)
Kazuhisa
DisplayForm
Kazuhisa Makino
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
School of Graduate Studies
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (encoding = w3cdtf); (keyDate = yes); (qualifier = exact)
2019
DateOther (qualifier = exact); (type = degree)
2019-05
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
NIM is a game in which two players take turns removing tokens from piles. There are usually several non overlapping piles each of which can have any amount of tokens in it. In a turn a player selects a nonempty pile and removes any positive number of tokens from it. The player that removed the last token(s) wins the game.
This thesis focused on a generalization of the game NIM in which players on their turn instead of selecting a particular pile, they select a subset of piles and then proceed to remove and positive amount of tokens from each pile i.e. at least on token from each pile. Not all subsets of piles can be selected though, the available options are usually given as a hypergraph H. Also if any of the piles are empty then the corresponding moves that include that pile are no longer legal. If not specifically said otherwise we assume the base set of H is V i.e. H ⊆ 2V This generalization we named Hypergraph NIM and it is a very broad generalization as it also includes other NIM generalizations like Moore’s NIM [25].
Subject (authority = local)
Topic
NIM
Subject (authority = RUETD)
Topic
Operations Research
Subject (authority = LCSH)
Topic
Game theory
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_9544
PhysicalDescription
Form (authority = gmd)
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (ix, 50 pages) : illustrations
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
RelatedItem (type = host)
TitleInfo
Title
School of Graduate Studies Electronic Theses and Dissertations
Identifier (type = local)
rucore10001600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/t3-95k0-0506
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
Mursic
GivenName
Peter
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2019-01-24 15:41:27
AssociatedEntity
Name
Peter Mursic
Role
Copyright holder
Affiliation
Rutgers University. School of Graduate Studies
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
CreatingApplication
Version
1.5
ApplicationName
pdfTeX-1.40.19
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2019-01-23T18:22:01
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2019-01-23T18:22:01
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