Depth and  Stanley depth of the path ideal associated to an nnn-cyclic graph

Guangjun ZHU

Makale detayları

Depth and Stanley depth of the path ideal associated to an nnn-cyclic graph

Yazarlar:

Guangjun ZHU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1174-1183

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745994

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We compute the depth and Stanley depth for the quotient ringof the path ideal of length 333  associated to a nnn-cyclic graph, given some precise formulas for the depth when n≢1(mod 4)n≢1(mod 4)n\not\equiv 1\,(\mbox{mod}\ 4), tight bounds when n≡1(mod 4)n≡1(mod 4)n\equiv 1\,(\mbox{mod}\ 4),and for Stanley depth when n≡0,3(mod 4)n≡0,3(mod 4)n\equiv 0,3\,(\mbox{mod}\ 4), tight bounds when n≡1,2(mod 4)n≡1,2(mod 4)n\equiv 1,2\,(\mbox{mod}\ 4). We also give some  formulas forthe depth and Stanley depth of a quotient  of the path ideals of length n−1n−1n-1 and nnn.

Makale detayları

Depth and Stanley depth of the path ideal associated to an nnn-cyclic graph

Yazarlar: Guangjun ZHU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1174-1183

Belge Tipi: Makale

Yayın Tarihi: 9/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000745994

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Guangjun ZHU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1174-1183

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745994

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098