Ehrhart theory of lattice path matroid polytopes

We study h*-vectors of lattice path matroids polytopes. Since these polytopes are alcoved, as a first step, we provide a combinatorial toolkit for the analysis of such vectors of this larger family. Based on this, we obtain a combinatorial interpretation of the h*-vector of lattice path matroids of...

Full description

Autores:
Valencia Porras, Jerónimo
Tipo de recurso:
Fecha de publicación:
2021
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
spa
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/55092
Acceso en línea:
http://hdl.handle.net/1992/55092
Palabra clave:
Vectores de politopos
Matroides
Caminos reticulares
Politopos
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
id UNIANDES2_5e6300bbabb60559b91f0643d4d74425
oai_identifier_str oai:repositorio.uniandes.edu.co:1992/55092
network_acronym_str UNIANDES2
network_name_str Séneca: repositorio Uniandes
repository_id_str
spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Knauer, Kolja26b874f1-7fc5-42f8-81e8-3de35b8f4c4d500Benedetti Velásquez, Carolinavirtual::4996-1Valencia Porras, Jerónimobde33df1-0ce7-455e-9e03-a0a9864ca5b8400Bogart, TristramMorales, Alejandro2022-02-22T19:50:25Z2022-02-22T19:50:25Z2021http://hdl.handle.net/1992/5509225855.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/We study h*-vectors of lattice path matroids polytopes. Since these polytopes are alcoved, as a first step, we provide a combinatorial toolkit for the analysis of such vectors of this larger family. Based on this, we obtain a combinatorial interpretation of the h*-vector of lattice path matroids of rank 2. This yields formulas for the h*-vector and the volume of such matroid polytopes. Furthermore, we characterize Gorenstein lattice path matroids.Este trabajo contiene un estudio de h*-vectores de politopos de matroides de caminos reticulares. Dado que estos politopos son alcobados, como primer paso, se dan herramientas combionatorias para el análisis de tales vectores para esta familia. Basados en esto, se obtienen interpretaciones combinatorias para el h*-vector de politopos de matroides de caminos reticulares de rango 2. Esto da fórmulas para el h*-vector y el volumen de éstas matroides. Además se caracterizan las matroides de caminos reticulares que son Gorenstein.Magíster en MatemáticasMaestría71 páginasapplication/pdfspaUniversidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de MatemáticasEhrhart theory of lattice path matroid polytopesTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMVectores de politoposMatroidesCaminos reticularesPolitoposMatemáticas201512556Publication8f535841-abba-4c33-9583-f841a74a4e66virtual::4996-18f535841-abba-4c33-9583-f841a74a4e66virtual::4996-1ORIGINAL25855.pdfapplication/pdf934299https://repositorio.uniandes.edu.co/bitstreams/0d549157-5cad-4528-a27f-4fdd92bf318a/downloadf5f8083765d213f7bbc2242cf69afbf9MD51THUMBNAIL25855.pdf.jpg25855.pdf.jpgIM Thumbnailimage/jpeg5877https://repositorio.uniandes.edu.co/bitstreams/3a2c0f68-1a0b-4e92-b252-278e2aea3472/download1fa552943687a35fe4b78c8a0502e6adMD53TEXT25855.pdf.txt25855.pdf.txtExtracted texttext/plain131707https://repositorio.uniandes.edu.co/bitstreams/f8594bd5-0431-43df-a43a-4622f9809156/downloadf724630e66f44d7d2547f219c667167fMD521992/55092oai:repositorio.uniandes.edu.co:1992/550922024-03-13 12:49:38.024http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.eng.fl_str_mv Ehrhart theory of lattice path matroid polytopes
title Ehrhart theory of lattice path matroid polytopes
spellingShingle Ehrhart theory of lattice path matroid polytopes
Vectores de politopos
Matroides
Caminos reticulares
Politopos
Matemáticas
title_short Ehrhart theory of lattice path matroid polytopes
title_full Ehrhart theory of lattice path matroid polytopes
title_fullStr Ehrhart theory of lattice path matroid polytopes
title_full_unstemmed Ehrhart theory of lattice path matroid polytopes
title_sort Ehrhart theory of lattice path matroid polytopes
dc.creator.fl_str_mv Valencia Porras, Jerónimo
dc.contributor.advisor.spa.fl_str_mv Knauer, Kolja
dc.contributor.advisor.none.fl_str_mv Benedetti Velásquez, Carolina
dc.contributor.author.spa.fl_str_mv Valencia Porras, Jerónimo
dc.contributor.jury.spa.fl_str_mv Bogart, Tristram
Morales, Alejandro
dc.subject.keyword.none.fl_str_mv Vectores de politopos
Matroides
Caminos reticulares
Politopos
topic Vectores de politopos
Matroides
Caminos reticulares
Politopos
Matemáticas
dc.subject.themes.none.fl_str_mv Matemáticas
description We study h*-vectors of lattice path matroids polytopes. Since these polytopes are alcoved, as a first step, we provide a combinatorial toolkit for the analysis of such vectors of this larger family. Based on this, we obtain a combinatorial interpretation of the h*-vector of lattice path matroids of rank 2. This yields formulas for the h*-vector and the volume of such matroid polytopes. Furthermore, we characterize Gorenstein lattice path matroids.
publishDate 2021
dc.date.issued.none.fl_str_mv 2021
dc.date.accessioned.none.fl_str_mv 2022-02-22T19:50:25Z
dc.date.available.none.fl_str_mv 2022-02-22T19:50:25Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/55092
dc.identifier.pdf.spa.fl_str_mv 25855.pdf
dc.identifier.instname.spa.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Séneca
dc.identifier.repourl.spa.fl_str_mv repourl:https://repositorio.uniandes.edu.co/
url http://hdl.handle.net/1992/55092
identifier_str_mv 25855.pdf
instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
repourl:https://repositorio.uniandes.edu.co/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 71 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad de los Andes
dc.publisher.program.spa.fl_str_mv Maestría en Matemáticas
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias
dc.publisher.department.spa.fl_str_mv Departamento de Matemáticas
institution Universidad de los Andes
bitstream.url.fl_str_mv https://repositorio.uniandes.edu.co/bitstreams/0d549157-5cad-4528-a27f-4fdd92bf318a/download
https://repositorio.uniandes.edu.co/bitstreams/3a2c0f68-1a0b-4e92-b252-278e2aea3472/download
https://repositorio.uniandes.edu.co/bitstreams/f8594bd5-0431-43df-a43a-4622f9809156/download
bitstream.checksum.fl_str_mv f5f8083765d213f7bbc2242cf69afbf9
1fa552943687a35fe4b78c8a0502e6ad
f724630e66f44d7d2547f219c667167f
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio institucional Séneca
repository.mail.fl_str_mv adminrepositorio@uniandes.edu.co
_version_ 1812133875668746240

Publicaciones similares