Cellular Structures determined by Polygons and Trees

The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions, whereas the classes present a new combinatorial problem. We solve this and incorporate the results into properties of the real moduli space...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Devadoss, Satyan L, Read, Ronald C
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.08.2000
Subjects
Online AccessGet full text

Cover

Loading…
Abstract The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions, whereas the classes present a new combinatorial problem. We solve this and incorporate the results into properties of the real moduli space of Riemann spheres. Connections are discussed with relation to classic combinatorial problems as well as to other sciences.
AbstractList The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions, whereas the classes present a new combinatorial problem. We solve this and incorporate the results into properties of the real moduli space of Riemann spheres. Connections are discussed with relation to classic combinatorial problems as well as to other sciences.
Author Devadoss, Satyan L
Read, Ronald C
Author_xml – sequence: 1
  givenname: Satyan
  surname: Devadoss
  middlename: L
  fullname: Devadoss, Satyan L
– sequence: 2
  givenname: Ronald
  surname: Read
  middlename: C
  fullname: Read, Ronald C
BookMark eNqNyrEOgjAQgOHGaCIq73CJM0lpQWAmGkcT2Qna00hqq3ftwNvr4AM4_cP3r8TceYczkSit86wulFqKlHmUUqpdpcpSJ6Jo0dpoB4JzoHgNkZDBYEB6PhwauExw8na6e8cwOAMdIfJGLG6DZUx_XYvtYd-1x-xF_h2RQz_6SO5LvZJN3lSy1lL_d30ArQo2ig
ContentType Paper
Copyright 2000. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2000. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
L6V
M7S
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
SciTech Premium Collection (Proquest) (PQ_SDU_P3)
ProQuest Engineering Collection
ProQuest Engineering Database
Publicly Available Content Database
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle Publicly Available Content Database
Engineering Database
Technology Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest One Academic
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2331-8422
Genre Working Paper/Pre-Print
GroupedDBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FRJ
HCIFZ
L6V
M7S
M~E
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
ID FETCH-proquest_journals_20919708303
IEDL.DBID BENPR
IngestDate Wed Sep 25 00:51:06 EDT 2024
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-proquest_journals_20919708303
OpenAccessLink https://www.proquest.com/docview/2091970830/abstract/?pq-origsite=%requestingapplication%
PQID 2091970830
PQPubID 2050157
ParticipantIDs proquest_journals_2091970830
PublicationCentury 2000
PublicationDate 20000817
PublicationDateYYYYMMDD 2000-08-17
PublicationDate_xml – month: 08
  year: 2000
  text: 20000817
  day: 17
PublicationDecade 2000
PublicationPlace Ithaca
PublicationPlace_xml – name: Ithaca
PublicationTitle arXiv.org
PublicationYear 2000
Publisher Cornell University Library, arXiv.org
Publisher_xml – name: Cornell University Library, arXiv.org
SSID ssj0002672553
Score 2.5131385
SecondaryResourceType preprint
Snippet The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions,...
SourceID proquest
SourceType Aggregation Database
SubjectTerms Cellular structure
Combinatorial analysis
Production planning
Title Cellular Structures determined by Polygons and Trees
URI https://www.proquest.com/docview/2091970830/abstract/
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEB7aBsGbT3zUsqDX0DS73U1OgiUxCJagFXorm-zES7C1qYde_O3OpokehB6XhX0xzMw3-80MwJ2XBUYHfuFyD7UrCEO4oZaWAaCLQGkTyl21z6lM3sTTfDzvQNLmwlhaZasTa0VtlrmNkRNID0ehIofBG-rMRgHyzfB-9ena_lH2n7VpptEFxx8J-2HrPETT9OU33uJLRd4z_6dyazsSH4GT6hWuj6GDHydwUNMv8-oUxATL0hJC2Wtdz_WLQDAzDVMFDcu2LF2W23cSEUbQn83WiNUZ3MbRbJK47VaLRjCqxd81-Dn0COHjBTAyktpDyYUJx6JAE9jTkqPicW4UcnUJ_X0rXe2fvobDXf44wUXVhx7dA2_Ikm6yAXSD-HHQPBWNnr-jHw6HfWk
link.rule.ids 786,790,12792,21416,33408,33779,43635,43840
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgE4IbT_EYEAmukcqSJe2Jw0QpMKZJFGm3Kl1cLhV7FA779zhZBgeknSMlTmTZ_pzPNsBtVMbWxN2KiwgNl4QheGKUYwCYKtbGJmrV7XOosnf5PO6NQ8KtCbTKtU30htpOJy5HTiA9uUs0BQzR_WzO3dQo97saRmhsQ1sKcp2uUjx9_M2xdJWmiFn8M7Ped6T70B6ZGS4OYAs_D2HHUy4nzRHIPta1I4GyN9_D9ZuAL7OBnYKWlUs2mtbLD1ILRnCf5QvE5hhu0oe8n_H1UUVQhqb4E12cQItQPZ4CI8doIlRC2qQnK7Sxk5aCk0gIq1HoM-hs2ul88_I17Gb566AYPA1fLmBvVT9OcFF3oEV3wkvypF_llX-uH_3zeR8
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Cellular+Structures+determined+by+Polygons+and+Trees&rft.jtitle=arXiv.org&rft.au=Devadoss%2C+Satyan+L&rft.au=Read%2C+Ronald+C&rft.date=2000-08-17&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422