Transversal Eccentric Domination in Graphs
We introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-03-01
|
| Series: | Ratio Mathematica |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1043 |
| _version_ | 1797852404557807616 |
|---|---|
| author | Riyaz Ur Rehman A A Mohamed Ismayil |
| author_facet | Riyaz Ur Rehman A A Mohamed Ismayil |
| author_sort | Riyaz Ur Rehman A |
| collection | DOAJ |
| description | We introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved. |
| first_indexed | 2024-04-09T19:33:48Z |
| format | Article |
| id | doaj.art-bfe6b55bb7b24603938a77b6763d40b5 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-09T19:33:48Z |
| publishDate | 2023-03-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-bfe6b55bb7b24603938a77b6763d40b52023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1043761Transversal Eccentric Domination in GraphsRiyaz Ur Rehman AA Mohamed IsmayilWe introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1043 |
| spellingShingle | Riyaz Ur Rehman A A Mohamed Ismayil Transversal Eccentric Domination in Graphs Ratio Mathematica |
| title | Transversal Eccentric Domination in Graphs |
| title_full | Transversal Eccentric Domination in Graphs |
| title_fullStr | Transversal Eccentric Domination in Graphs |
| title_full_unstemmed | Transversal Eccentric Domination in Graphs |
| title_short | Transversal Eccentric Domination in Graphs |
| title_sort | transversal eccentric domination in graphs |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1043 |
| work_keys_str_mv | AT riyazurrehmana transversaleccentricdominationingraphs AT amohamedismayil transversaleccentricdominationingraphs |