The Zagreb Indices and Some Hamiltonian Properties of Graphs

Rao Lİ

Article Details

The Zagreb Indices and Some Hamiltonian Properties of Graphs

Authors:

Rao Lİ

Publisher:

Süleyman EDİZ

Main Topics:

Mathematics

Journal:

MATI 2020 Vol.2 Issue 2, pp.7-11

Document Type:

Article

Publication Date:

7/2020

Document Language:

English

Document ID (Org No.):

2000752319

Frequency:

Bi-Annual

pISSN:

2636-7785

Abstract:

 


Let G=(V,E)G=(V,E)G = (V, E) be a graph. The first Zagreb index and second Zagreb index of GGG are defined as ∑v∈Vd2(v)∑v∈Vd2(v)\sum_{v \in V}d^2(v) and
 ∑uv∈Ed(u)d(v)∑uv∈Ed(u)d(v)\sum_{uv \in E}d(u)d(v), respectively.
Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs.

Let G=(V,E)G=(V,E)G = (V, E) be a graph. The first Zagreb index and second Zagreb index of GGG are defined as ∑v∈Vd2(v)∑v∈Vd2(v)\sum_{v \in V}d^2(v) and ∑uv∈Ed(u)d(v)∑uv∈Ed(u)d(v)\sum_{uv \in E}d(u)d(v), respectively. Using first and second Zagreb indexes of graphs, we in this note present sufficient conditions for some Hamiltonian properties of graphs.

.

Article Details

The Zagreb Indices and Some Hamiltonian Properties of Graphs

Authors: Rao Lİ

Publisher: Süleyman EDİZ

Main Topics: Mathematics

Journal: MATI 2020 Vol.2 Issue 2, pp.7-11

Document Type: Article

Publication Date: 7/2020

Document Language: English

Document ID (Org No.): 2000752319

Frequency: Bi-Annual

pISSN: 2636-7785

Issues

Authors:

Rao Lİ

Publisher:

Süleyman EDİZ

Main Topics:

Mathematics

Journal:

MATI 2020 Vol.2 Issue 2, pp.7-11

Document Type:

Article

Publication Date:

7/2020

Document Language:

English

Document ID (Org No.):

2000752319

Frequency:

Bi-Annual

pISSN:

2636-7785