\documentclass[12pt]{article}
\usepackage{amsmath,mathrsfs,bbm}
\usepackage{amssymb}
\textwidth=4.825in
\overfullrule=0pt
\thispagestyle{empty}
\begin{document}
\noindent
%
%
{\bf Russ Woodroofe }
%
%
\medskip
\noindent
%
%
{\bf Chordal and Sequentially Cohen-Macaulay Clutters}
%
%
\vskip 5mm
\noindent
%
%
%
%
We extend the definition of chordal from graphs to clutters. The resulting
family generalizes both chordal graphs and matroids, and obeys many
of the same algebraic and geometric properties. Specifically, the
independence complex of a chordal clutter is shellable, hence sequentially
Cohen-Macaulay; and the circuit ideal of a certain complement to such
a clutter has a linear resolution. Minimal non-chordal clutters are
also closely related to obstructions to shellability, and we give
some general families of such obstructions, together with a classification
by computation of all obstructions to shellability on 6 vertices.
\end{document}