Details:
Title  Graphs and Ideals Generated by Some 2Minors  Author(s)  Masahiro Ohtani  Type  Article in Journal  Abstract  Let 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 2minors [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.  Keywords  Gröbner basis, Hamilton cycle, 2Minor, Primary decomposition, 
URL 
http://dx.doi.org/10.1080/00927870903527584 
Language  English  Journal  Communications in Algebra  Volume  39  Number  3  Pages  905917  Year  2011  Edition  0  Translation 
No  Refereed 
No 
