On the Theory of Linear Rank Inequalities

Abstract. In this work, we study linear polymatroids and linear rank inequalities. We focus on the problem of determining if the Common Information Method can generate all the linear inequalities satisfied by all linear polymatroids. It is well known that there exist deep connections between the The...

Full description

Autores:
Mejía Moreno, Carolina
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/56999
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/56999
http://bdigital.unal.edu.co/53062/
Palabra clave:
51 Matemáticas / Mathematics
Linear polymatroids
Linear rank inequalities
Secret sharing
Linear schemes
Abelian polymatroids
Matroids
Polimatroides lineales
Desigualdades rango lineales
Repartición de Secretos
Esquemas lineales
Polimatroides abelianos
Matroides
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional