Some Properties of Regular Line Graphs

In this paper, the concept of regular line graph has been introduced. The maximum number of vertices with different degrees in the regular line graphs has also been studied. Further, the necessary and sufficient condition for regular line graph to be bipartite graph have also been proved. Key wor...

Full description

Bibliographic Details
Main Author: Akram Attar
Format: Article
Language:English
Published: University of Thi-Qar 2019-05-01
Series:مجلة علوم ذي قار
Online Access:https://mail.jsci.utq.edu.iq/index.php/main/article/view/270
_version_ 1797454191706243072
author Akram Attar
author_facet Akram Attar
author_sort Akram Attar
collection DOAJ
description In this paper, the concept of regular line graph has been introduced. The maximum number of vertices with different degrees in the regular line graphs has also been studied. Further, the necessary and sufficient condition for regular line graph to be bipartite graph have also been proved. Key words: Line Graphs, Regular graphs, Connected graphs, Bipartite Graphs.
first_indexed 2024-03-09T15:34:40Z
format Article
id doaj.art-030448dfc0c646aea1675ec07b8e8e63
institution Directory Open Access Journal
issn 1991-8690
2709-0256
language English
last_indexed 2024-03-09T15:34:40Z
publishDate 2019-05-01
publisher University of Thi-Qar
record_format Article
series مجلة علوم ذي قار
spelling doaj.art-030448dfc0c646aea1675ec07b8e8e632023-11-26T09:40:49ZengUniversity of Thi-Qarمجلة علوم ذي قار1991-86902709-02562019-05-0112Some Properties of Regular Line Graphs Akram Attar In this paper, the concept of regular line graph has been introduced. The maximum number of vertices with different degrees in the regular line graphs has also been studied. Further, the necessary and sufficient condition for regular line graph to be bipartite graph have also been proved. Key words: Line Graphs, Regular graphs, Connected graphs, Bipartite Graphs. https://mail.jsci.utq.edu.iq/index.php/main/article/view/270
spellingShingle Akram Attar
Some Properties of Regular Line Graphs
مجلة علوم ذي قار
title Some Properties of Regular Line Graphs
title_full Some Properties of Regular Line Graphs
title_fullStr Some Properties of Regular Line Graphs
title_full_unstemmed Some Properties of Regular Line Graphs
title_short Some Properties of Regular Line Graphs
title_sort some properties of regular line graphs
url https://mail.jsci.utq.edu.iq/index.php/main/article/view/270
work_keys_str_mv AT akramattar somepropertiesofregularlinegraphs