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Algebraic Combinatorics [PDF]

open access: yes, 2007
Peter Orlik, Volkmar Welker
openaire   +2 more sources

Combinatoric of syzygies for semigroup algebras

open access: yesCollectanea Mathematica, 1998
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. More precisely, we make explicit the isomorphism between the Tor groups of the resolution and the Koszul homology. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions.
Campillo, Antonio   +3 more
openaire   +2 more sources

On Pattern Avoidance and Dynamical Algebraic Combinatorics [PDF]

open access: yes
Over the past decade since the term `dynamical algebraic combinatorics\u27 was coined there has been a tremendous amount of activity in the field. Adding to that growing body of work this thesis hopes to be a step towards a broader study of pattern ...
Adenbaum, Benjamin
core   +1 more source

Combinatorics and Algebraic Statistics through Polyhedra [PDF]

open access: yes
This thesis is comprised of eight articles in the fields of algebraic, geometric and enumerative combinatorics, as well as algebraic statistics and causality.
Deligeorgaki, Danai
core  

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