| Title:
|
Cohen-Macaulay modifications of the vertex cover ideal of a graph (English) |
| Author:
|
Ahmad, Safyan |
| Author:
|
Kanwal, Shamsa |
| Author:
|
Firdous, Talat |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
843-852 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay. (English) |
| Keyword:
|
monomial ideal, minimal vertex cover, polarization of ideal, chordal graph |
| MSC:
|
13A02 |
| MSC:
|
13D02 |
| MSC:
|
13D25 |
| MSC:
|
13P10 |
| idZBL:
|
Zbl 06986976 |
| idMR:
|
MR3851895 |
| DOI:
|
10.21136/CMJ.2018.0020-17 |
| . |
| Date available:
|
2018-08-09T13:16:00Z |
| Last updated:
|
2020-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147372 |
| . |
| Reference:
|
[1] Ahmad, S.: Cohen-Macaualy intersections.Arch. Math. 92 (2009), 228-236. Zbl 1168.13012, MR 2496674, 10.1007/s00013-009-3005-9 |
| Reference:
|
[2] Ahmad, S., Naeem, M.: Cohen-Macaulay monomial ideals with given radical.J. Pure Appl. Algebra. 214 (2010), 1812-1817. Zbl 1206.13026, MR 2608109, 10.1016/j.jpaa.2009.12.024 |
| Reference:
|
[3] Ahmad, S., Naeem, M.: Classes of simplicial complexes which admit non-trivial Cohen-Macaulay modifications.Stud. Sci. Math. Hung. 52 (2015), 423-433. Zbl 1374.13016, MR 3432977, 10.1556/012.2015.52.4.1317 |
| Reference:
|
[4] Eagon, J. A., Reiner, V.: Resolutions of Stanley-Reisner rings and Alexander duality.J. Pure Appl. Algebra 130 (1998), 265-275. Zbl 0941.13016, MR 1633767, 10.1016/S0022-4049(97)00097-2 |
| Reference:
|
[5] Fröberg, R.: Rings with monomial relations having linear resolutions.J. Pure Appl. Algebra 38 (1985), 235-241. Zbl 0573.13012, MR 0814179, 10.1016/0022-4049(85)90011-8 |
| Reference:
|
[6] Herzog, J., Hibi, T.: Monomial Ideals.Graduate Texts in Mathematics 260. Springer, London (2011). Zbl 1206.13001, MR 2724673, 10.1007/978-0-85729-106-6 |
| Reference:
|
[7] Herzog, J., Takayama, Y., Terai, N.: On the radical of a monomial ideal.Arch. Math. 85 (2005), 397-408. Zbl 1112.13003, MR 2181769, 10.1007/s00013-005-1385-z |
| Reference:
|
[8] Villarreal, R. H.: Monomial Algebras.Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2015). Zbl 1325.13004, MR 3362802, 10.1201/b18224 |
| . |
