Path ideals of rooted trees and their graded Betti numbers

Bouchat, 2010, Free resolutions of some edge ideals of simple graphs, J. Commut. Algebra, 2, 1, 10.1216/JCA-2010-2-1-1 Brumatti, 2001, On the symmetric and Rees algebras of (n,k)-cyclic ideals, Mat. Contemp., 21, 27 Conca, 1999, M-sequences, graph ideals, and ladder ideals of linear type, J. Algebra, 211, 599, 10.1006/jabr.1998.7740 Hà, 2007, Splittable ideals and the resolutions of monomial ideals, J. Algebra, 309, 405, 10.1016/j.jalgebra.2006.08.022 Hà, 2008, Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers, J. Algebraic Combin., 27, 215, 10.1007/s10801-007-0079-y He Restuccia, 2001, On the normality of monomial ideals of mixed products, Comm. Algebra, 29, 3571, 10.1081/AGB-100105039 Miller, 2004, Combinatorial Commutative Algebra, vol. 227 Villarreal, 1995, Rees algebras of edge ideals, Comm. Algebra, 23, 3513, 10.1080/00927879508825412 Weibel, 1994, An Introduction to Homological Algebra, vol. 38