The square of the line graph and path ideals
Olteanu, Anda ; Olteanu, Oana
Mathematical Communications, Tome 22 (2017) no. 1, p. 235-249 / Harvested from Mathematical Communications
For path ideals of the square of the line graph we compute the Krull dimension, we characterize the linear resolution property in combinatorial terms. We bound the Castelnuovo-Mumford regularity and the projective dimension in terms of the corresponding invariants of two sub-hypergraph. We present some open questions.
Publié le : 2017-08-13
Classification:  path ideals; square of a graph; Castelnuovo-Mumford regularity; hypergraphs; projective dimension,  13F55;13C15;13C14
@article{mc1619,
     author = {Olteanu, Anda and Olteanu, Oana},
     title = {The square of the line graph and path ideals},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 235-249},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1619}
}
Olteanu, Anda; Olteanu, Oana. The square of the line graph and path ideals. Mathematical Communications, Tome 22 (2017) no. 1, pp.  235-249. http://gdmltest.u-ga.fr/item/mc1619/