Cohen-Macaulay modifications of the vertex cover ideal of a graph

Safyan Ahmad; Shamsa Kanwal; Talat Firdous

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 3, page 843-852
  • ISSN: 0011-4642

Abstract

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We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay.

How to cite

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Ahmad, Safyan, Kanwal, Shamsa, and Firdous, Talat. "Cohen-Macaulay modifications of the vertex cover ideal of a graph." Czechoslovak Mathematical Journal 68.3 (2018): 843-852. <http://eudml.org/doc/294803>.

@article{Ahmad2018,
abstract = {We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay.},
author = {Ahmad, Safyan, Kanwal, Shamsa, Firdous, Talat},
journal = {Czechoslovak Mathematical Journal},
keywords = {monomial ideal; minimal vertex cover; polarization of ideal; chordal graph},
language = {eng},
number = {3},
pages = {843-852},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cohen-Macaulay modifications of the vertex cover ideal of a graph},
url = {http://eudml.org/doc/294803},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Ahmad, Safyan
AU - Kanwal, Shamsa
AU - Firdous, Talat
TI - Cohen-Macaulay modifications of the vertex cover ideal of a graph
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 843
EP - 852
AB - We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay.
LA - eng
KW - monomial ideal; minimal vertex cover; polarization of ideal; chordal graph
UR - http://eudml.org/doc/294803
ER -

References

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  1. Ahmad, S., 10.1007/s00013-009-3005-9, Arch. Math. 92 (2009), 228-236. (2009) Zbl1168.13012MR2496674DOI10.1007/s00013-009-3005-9
  2. Ahmad, S., Naeem, M., 10.1016/j.jpaa.2009.12.024, J. Pure Appl. Algebra. 214 (2010), 1812-1817. (2010) Zbl1206.13026MR2608109DOI10.1016/j.jpaa.2009.12.024
  3. Ahmad, S., Naeem, M., 10.1556/012.2015.52.4.1317, Stud. Sci. Math. Hung. 52 (2015), 423-433. (2015) Zbl1374.13016MR3432977DOI10.1556/012.2015.52.4.1317
  4. Eagon, J. A., Reiner, V., 10.1016/S0022-4049(97)00097-2, J. Pure Appl. Algebra 130 (1998), 265-275. (1998) Zbl0941.13016MR1633767DOI10.1016/S0022-4049(97)00097-2
  5. Fröberg, R., 10.1016/0022-4049(85)90011-8, J. Pure Appl. Algebra 38 (1985), 235-241. (1985) Zbl0573.13012MR0814179DOI10.1016/0022-4049(85)90011-8
  6. Herzog, J., Hibi, T., 10.1007/978-0-85729-106-6, Graduate Texts in Mathematics 260. Springer, London (2011). (2011) Zbl1206.13001MR2724673DOI10.1007/978-0-85729-106-6
  7. Herzog, J., Takayama, Y., Terai, N., 10.1007/s00013-005-1385-z, Arch. Math. 85 (2005), 397-408. (2005) Zbl1112.13003MR2181769DOI10.1007/s00013-005-1385-z
  8. Villarreal, R. H., 10.1201/b18224, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2015). (2015) Zbl1325.13004MR3362802DOI10.1201/b18224

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