Regularity and projective dimension of some class of well-covered graphs

Esfandiyar LASHANI; Ali Soleyman JAHAN

Makale detayları

Regularity and projective dimension of some class of well-covered graphs

Yazarlar:

Esfandiyar LASHANI | Ali Soleyman JAHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.1102-1109

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746913

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we study the Castelnuovo--Mumford regularity of an  edge  ideal  associated with a graph in  a special class of well-covered graphs.   We  show that if GGG belongs to the class SQSQ\mathcal {SQ}, then  the Castelnuovo-Mumford regularity  of R/I(G)R/I(G)R/I(G) will be  equal to induced matching number of GGG. For this class of graphs we also compute the projective dimension of the ring   R/I(G)R/I(G)R/I(G).  As a corollary we describe these invariants in well-covered forests, well-covered chordal graphs, Cohen-Macaulay Cameron-Walker graphs, and  simplicial graphs.

Makale detayları

Regularity and projective dimension of some class of well-covered graphs

Yazarlar: Esfandiyar LASHANI | Ali Soleyman JAHAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.1102-1109

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746913

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Esfandiyar LASHANI | Ali Soleyman JAHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 5, pp.1102-1109

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746913

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098