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TitleGeneralized binomial edge ideals
Author(s) Johannes Rauh
TypeArticle in Journal
AbstractThis paper studies a class of binomial ideals associated to graphs with finite vertex sets. They generalize the binomial edge ideals, and they arise in the study of conditional independence ideals. A Gröbner basis can be computed by studying paths in the graph. Since these Gröbner bases are square-free, generalized binomial edge ideals are radical. To find the primary decomposition a combinatorial problem involving the connected components of subgraphs has to be solved. The irreducible components of the solution variety are all rational.
KeywordsBinomial ideals, Binomial edge ideals, Graphs, Primary decomposition, Conditional independence ideals
ISSN0196-8858
URL http://www.sciencedirect.com/science/article/pii/S019688581200108X
LanguageEnglish
JournalAdvances in Applied Mathematics
Volume50
Number3
Pages409 - 414
Year2013
Edition0
Translation No
Refereed No
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