THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS

THE h-VECTORS OF MATROIDS AND THE ARITHMETIC DEGREE OF SQUAREFREE STRONGLY STABLE IDEALS

Making use of algebraic and combinatorial techniques, we study two topics: the arithmetic degree of squarefree strongly stable ideals and the h-vectors of matroid complexes. For a squarefree monomial ideal, I, the arithmetic degree of I is the number of facets of the simplicial complex which has I a...

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Bibliographic Details
Main Author: Stokes, Erik
Format: Others
Published: UKnowledge 2008
Subjects:
simplicial complex
matroid
h-vector
arithmetic degree
Stanley-Reisner ideal
Mathematics
Online Access:http://uknowledge.uky.edu/gradschool_diss/636
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1639&context=gradschool_diss

Internet

http://uknowledge.uky.edu/gradschool_diss/636
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1639&context=gradschool_diss

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