On the zero-divisor graphs of finite free semilattices

Kemal TOKER

Makale detayları

On the zero-divisor graphs of finite free semilattices

Yazarlar:

Kemal TOKER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.824-831

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746944

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let SLXSLXSL_{X} be the free semilattice on a finite nonempty set   XXX. There exists an undirected graph Γ(SLX)Γ(SLX)\Gamma(SL_{X}) associated with   SLXSLXSL_{X} whose vertices are the proper subsets of XXX, except the empty   set, and two distinct vertices AAA and BBB of Γ(SLX)Γ(SLX)\Gamma(SL_{X}) are   adjacent if and only if A∪B=XA∪B=XA\cup B=X. In this paper, the diameter, radius,   girth, degree of any vertex, domination number, independence number, clique   number, chromatic number, and chromatic index of Γ(SLX)Γ(SLX)\Gamma(SL_{X}) have been   established. Moreover, we have determined when Γ(SLX)Γ(SLX)\Gamma(SL_{X}) is a  perfect graph and when the core of Γ(SLX)Γ(SLX)\Gamma(SL_{X}) is a Hamiltonian graph.

Makale detayları

On the zero-divisor graphs of finite free semilattices

Yazarlar: Kemal TOKER

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.824-831

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746944

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Kemal TOKER

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.824-831

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746944

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098