“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 15689  


Abstract:  
Each (equigenerated) squarefree monomial ideal in the polynomial ring S=K[x_1,â¦,x_n ] represents a family of subsets of [n], called a (uniform) clutter. In this paper, we introduce a class of uniform clutters, called decomposable clutters, whose associated ideal has linear quotients and hence linear resolution over all fields. We show that chordality of these clutters guarantees the correctness of a conjecture raised by R. S. Simon on extendable shellability of dskeletons of a simplex â©[n]âª for all d. We then prove this conjecture for dâ¥n3.
Download TeX format 

back to top 