We present an explicit construction of minimal cellular resolutions for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik resolution. This procedure allows us to ease the computation of the graded Betti numbers and the projective dimension.
@article{10_37236_8810,
author = {Margherita Barile and Antonio Macchia},
title = {Minimal cellular resolutions of the edge ideals of forests},
journal = {The electronic journal of combinatorics},
year = {2020},
volume = {27},
number = {2},
doi = {10.37236/8810},
zbl = {1472.13012},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8810/}
}
TY - JOUR
AU - Margherita Barile
AU - Antonio Macchia
TI - Minimal cellular resolutions of the edge ideals of forests
JO - The electronic journal of combinatorics
PY - 2020
VL - 27
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/8810/
DO - 10.37236/8810
ID - 10_37236_8810
ER -
%0 Journal Article
%A Margherita Barile
%A Antonio Macchia
%T Minimal cellular resolutions of the edge ideals of forests
%J The electronic journal of combinatorics
%D 2020
%V 27
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/8810/
%R 10.37236/8810
%F 10_37236_8810
Margherita Barile; Antonio Macchia. Minimal cellular resolutions of the edge ideals of forests. The electronic journal of combinatorics, Tome 27 (2020) no. 2. doi: 10.37236/8810
