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TitleGraphs and Ideals Generated by Some 2-Minors
Author(s) Masahiro Ohtani
TypeArticle in Journal
AbstractLet G be a finite graph on [n] = {1, 2,, n}, X a 2 × n matrix of indeterminates over a field K, and S = K[X] a polynomial ring over K. In this article, we study about ideals I G of S generated by 2-minors [i, j] of X which correspond to edges {i, j} of G. In particular, we construct a Gröbner basis of I G as a set of paths of G and compute a primary decomposition.
KeywordsGröbner basis, Hamilton cycle, 2-Minor, Primary decomposition,
URL http://dx.doi.org/10.1080/00927870903527584
LanguageEnglish
JournalCommunications in Algebra
Volume39
Number3
Pages905-917
Year2011
Edition0
Translation No
Refereed No
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