Line Graphs of Monogenic Semigroup Graphs
The concept of monogenic semigroup graphs ΓSM is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph LΓSM of ΓSM. In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, m...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6630011 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560135866679296 |
|---|---|
| author | Nihat Akgunes Yasar Nacaroglu Sedat Pak |
| author_facet | Nihat Akgunes Yasar Nacaroglu Sedat Pak |
| author_sort | Nihat Akgunes |
| collection | DOAJ |
| description | The concept of monogenic semigroup graphs ΓSM is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph LΓSM of ΓSM. In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, maximum degree, minimum degree, chromatic number, clique number, and domination number over LΓSM. |
| format | Article |
| id | doaj-art-bb63f67e88254bb6b88a63e4880e867c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bb63f67e88254bb6b88a63e4880e867c2025-02-03T01:28:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66300116630011Line Graphs of Monogenic Semigroup GraphsNihat Akgunes0Yasar Nacaroglu1Sedat Pak2Department of Mathematics-Computer Sciences, Necmettin Erbakan University, Konya 42090, TurkeyDepartment of Mathematics, Kahramanmaras Sutcu Imam University, Kahramanmaras 46100, TurkeyDepartment of Mathematics-Computer Sciences, Necmettin Erbakan University, Konya 42090, TurkeyThe concept of monogenic semigroup graphs ΓSM is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph LΓSM of ΓSM. In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, maximum degree, minimum degree, chromatic number, clique number, and domination number over LΓSM.http://dx.doi.org/10.1155/2021/6630011 |
| spellingShingle | Nihat Akgunes Yasar Nacaroglu Sedat Pak Line Graphs of Monogenic Semigroup Graphs Journal of Mathematics |
| title | Line Graphs of Monogenic Semigroup Graphs |
| title_full | Line Graphs of Monogenic Semigroup Graphs |
| title_fullStr | Line Graphs of Monogenic Semigroup Graphs |
| title_full_unstemmed | Line Graphs of Monogenic Semigroup Graphs |
| title_short | Line Graphs of Monogenic Semigroup Graphs |
| title_sort | line graphs of monogenic semigroup graphs |
| url | http://dx.doi.org/10.1155/2021/6630011 |
| work_keys_str_mv | AT nihatakgunes linegraphsofmonogenicsemigroupgraphs AT yasarnacaroglu linegraphsofmonogenicsemigroupgraphs AT sedatpak linegraphsofmonogenicsemigroupgraphs |