Linear syzygies, flag complexes, and regularity

Avramov, L.L., Conca, A., Iyengar, S.B.: Subadditivity of syzygies of Koszul algebras. Math. Ann. 361(1–2), 511–534 (2013)

Bayer, D., Mumford, D.: What can be computed in algebraic geometry? In: Computational algebraic geometry and commutative algebra, Sympos. Math., vol. XXXIV. Cambridge University Press, Cortona, pp. 1–48 (1993)

Bayer, D., Stillman, M.: On the complexity of computing syzygies. J. Symb. Comput. 6(2), 135–147 (1988)

Davis, M.: The geometry and topology of Coxeter groups, vol. 32. Princeton University Press, Princeton, NJ (2008)

Dao, H., Huneke, C., Schweig, J.: Bounds on the regularity and projective dimension of ideals associated to graphs. J. Algebr. Comb. 38(1), 37–55 (2013)

Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity. J. Algebr. 88(1), 89–133 (1984)

Januszkiewicz, T., Świątkowski, J.: Hyperbolic Coxeter groups of large dimension. Comment. Math. Helvetici 78(3), 555–583 (2003)

Mayr, E.W., Meyer, A.R.: The complexity of the word problems for commutative semigroups and polynomial ideals. Adv. Math. 46(3), 305–329 (1982)

Miller, E., Sturmfels, B.: Combinatorial commutative algebra, GTM, vol. 227. Springer, Berlin (2005)

Stanley, R.P.: Cohen-Macaulay complexes. In: Higher Combinatorics, 31. pp. 51–62 (1977)