On analogues of nilpotent and total graphs associated ring $\mathbb{Z}_n$

Hatice Pınar Cantekin; Sezer Sorgun

Article Details

On analogues of nilpotent and total graphs associated ring $\mathbb{Z}_n$

Authors:

Hatice Pınar Cantekin | Sezer Sorgun

Publisher:

Sivas Cumhuriyet University

Main Topics:

Matematiksel Fizik

Journal:

Sivas Cumhuriyet Üniversitesi Bilim ve Teknoloji Dergisi Vol.2 Issue 1, pp.1-4

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001291689

pISSN:

2980-0110

Keywords:

Abstract:

 In the last 20 years, the graphs associated with a ring have been introduced, such as the zero-divisor graph, the nilpotent graph, the total graph, etc. The studies on these graphs are generally related to their graph invariants. In this paper, we define two novel analogue graphs over the integer rings and obtain some properties as well as the spectrum with respect to the adjacency matrix.

 In the last 20 years, the graphs associated with a ring have been introduced, such as the zero-divisor graph, the nilpotent graph, the total graph, etc. The studies on these graphs are generally related to their graph invariants. In this paper, we define two novel analogue graphs over the integer rings and obtain some properties as well as the spectrum with respect to the adjacency matrix.

 In the last 20 years, the graphs associated with a ring have been introduced, such as the zero-divisor graph, the nilpotent graph, the total graph, etc. The studies on these graphs are generally related to their graph invariants. In this paper, we define two novel analogue graphs over the integer rings and obtain some properties as well as the spectrum with respect to the adjacency matrix.

 Son 20 yıldır, sıfır bölen çizge, nilpotent çizge ve total çizge gibi bir halkadan oluşmuş çizgeler tanıtılmıştır. Bu çizgeler üzerinde yapılan çalışmalar genellikle .çizge değişmezleri üzerinedir. Bu makalede nilpotent ve total çizgelerden yardımıyla Z_n tam sayı halkasında iki yeni benzer çizge tanımı yapılmıştır ve bu çizgelerin komşuluk spektrumları yanı sıra bazı özellikleri der verilmiştir.

Article Details

On analogues of nilpotent and total graphs associated ring $\mathbb{Z}_n$

Authors:

Hatice Pınar Cantekin | Sezer Sorgun

Publisher:

Sivas Cumhuriyet University

Main Topics:

Matematiksel Fizik

Journal:

Sivas Cumhuriyet Üniversitesi Bilim ve Teknoloji Dergisi Vol.2 Issue 1, pp.1-4

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001291689

pISSN:

2980-0110

Graph

Nilpotent Graph

spectrumGraph

Nilpotent Graph

Total Graph

spectrum

Issues

Article Details

On analogues of nilpotent and total graphs associated ring $\mathbb{Z}_n$

Authors: Hatice Pınar Cantekin | Sezer Sorgun

Publisher: Sivas Cumhuriyet University

Main Topics: Matematiksel Fizik

Journal: Sivas Cumhuriyet Üniversitesi Bilim ve Teknoloji Dergisi Vol.2 Issue 1, pp.1-4

Document Type: Article

Publication Date: 6/2023

Document Language: English

Document ID (Org No.): 2001291689

pISSN: 2980-0110

Graph

Nilpotent Graph

spectrumGraph

Nilpotent Graph

Total Graph

spectrum

Issues

Authors:

Hatice Pınar Cantekin | Sezer Sorgun

Publisher:

Sivas Cumhuriyet University

Main Topics:

Matematiksel Fizik

Journal:

Sivas Cumhuriyet Üniversitesi Bilim ve Teknoloji Dergisi Vol.2 Issue 1, pp.1-4

Document Type:

Article

Publication Date:

6/2023

Document Language:

English

Document ID (Org No.):

2001291689

pISSN:

2980-0110