(See also my preprints.)

Citation counts are taken from Google Scholar, which on occasion overcounts slightly.

- John Shareshian and Russ Woodroofe,
*Divisibility of binomial coefficients and generation of alternating groups*, accepted to Pacific J. Math.

Here is the GAP code discussed in Section 6, together with its output: - Jay Schweig and Russ Woodroofe,
*A broad class of shellable lattices*, Adv. Math.**313**(2017), 537-563. - John Shareshian and Russ Woodroofe,
*Order complexes of coset posets of finite groups are not contractible*, Adv. Math.**291**(2016), 758-773. - Huy Tài Hà and Russ Woodroofe,
*Results on the regularity of square-free monomial ideals*, Adv. Appl. Math.**58**(2014), 21-36.#### Erratum:

There was an error in our original proof of Lemma 3.4 in the paper, as was pointed out by Fahimeh Khosh-Ahang and Somayeh Moradi in this arXiv preprint. A corrected proof is in the corrigendum published here. (It is also attached at the end of the arXiv version of the paper.) We are grateful to Khosh-Ahang and Moradi for bringing the error to our attention.

- Russ Woodroofe,
*Matchings, coverings, and Castelnuovo-Mumford regularity*, J. Commut. Algebra**6**(2014), no. 2, 287-304. - Stephan Foldes and Russ Woodroofe,
*Antichain cutsets of strongly connected posets*, Order**30**(2013), no. 2, 351-361. - Russ Woodroofe,
*Chains of modular elements and shellability*, J. Combin. Theory Ser. A**119**(2012), no. 6, 1315-1327. - John Shareshian and Russ Woodroofe,
*A new subgroup lattice characterization of finite solvable groups*, J. Algebra**351**(2012), no. 1, 448-458. - Russ Woodroofe,
*Chordal and sequentially Cohen-Macaulay clutters*, Electron. J. Combin.**18**(2011), no. 1, Paper 208, 20 pages.Here are the lists of forbidden minors and GAP source referenced in Section 7: - Russ Woodroofe,
*Erdős-Ko-Rado theorems for simplicial complexes*, J. Combin. Theory Ser. A**118**(2011), no. 4, 1218-1227. - Russ Woodroofe,
*Vertex decomposable graphs and obstructions to shellability*, Proc. Amer. Math. Soc.**137**(2009), no. 10, 3235-3246.#### Erratum:

At the end of Section 6, the direct product of two edges is shellable. The direct product of an edge and a 3-cycle is bipartite, and is not shellable or sCM, but is not

*K*_{3,3}. I thank Sara Saeedi for pointing out my mistake. - Russ Woodroofe,
*Cubical convex ear decompositions*, Electronic J. Combinatorics**16**(2009), no. 2, Research Paper 17, 33 pages. - Russ Woodroofe,
*An*, Proc. Amer. Math. Soc.*EL*-labeling of the subgroup lattice**136**(2008), no. 11, 3795-3801. - Russ Woodroofe,
*Shelling the coset poset*, J. Combin. Theory Ser. A**114**(2007), no. 4, 733–746.#### Erratum:

The history of shelling in this paper is incomplete: the idea of shellability goes back considerably before Bruggesser and Mani. Even the term

*shelling*goes back at least to DE Sanderson's 1957 paper*Isotopy in 3-Manifolds I. Isotopic Deformations of 2-Cells and 3-Cells*. RH Bing discusses shellings at some length in his 1964 book*Some aspects of the topology of 3-manifolds related to the Poincaré conjecture*.

Günter Ziegler's paper*Shelling Polyhedral 3-Balls and 4-Polytopes*has a nice discussion of the history of nonshellable balls.#### Remark:

A simpler construction of an

*EL*-labeling for the coset lattice of a complemented group is in Section 4.2 of my paper*Cubical convex ear decompositions*. See above. - Alexander Barvinok, Sándor P. Fekete, David S. Johnson, Arie Tamir, Gerhard J. Woeginger, and Russ Woodroofe,
*The geometric maximum traveling salesman problem*, J. ACM**50**(2003), no. 5, 641–664 (electronic). - Alexander Barvinok, David S. Johnson, Gerhard J. Woeginger, and Russ Woodroofe,
*The maximum traveling salesman problem under polyhedral norms*, Integer programming and combinatorial optimization (Houston, TX, 1998), Lecture Notes in Comput. Sci., vol. 1412, Springer, Berlin, 1998, 195–201.