Superior Eccentric Domination Polynomial
In this paper we introduce the superior eccentric domination polynomial $SED(G, φ) = β\sum_{ l=\gamma_{sed}(G)} |sed(G, l)|φ^{l}$ where |sed(G, l)| is the number of all distinct superior eccentric dominating sets with cardinality l and $\gamma_{sed}(G)$ is superior eccentric domination number. We fi...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2023-03-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1082 |
| _version_ | 1797852421210243072 |
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| author | R Tejaskumar A Mohamed Ismayil |
| author_facet | R Tejaskumar A Mohamed Ismayil |
| author_sort | R Tejaskumar |
| collection | DOAJ |
| description | In this paper we introduce the superior eccentric domination polynomial $SED(G, φ) = β\sum_{ l=\gamma_{sed}(G)} |sed(G, l)|φ^{l}$ where |sed(G, l)| is the number of all distinct superior eccentric dominating sets with cardinality l and $\gamma_{sed}(G)$ is superior eccentric domination number. We find SED(G, φ) for different standard graphs. Results are presented. |
| first_indexed | 2024-04-09T19:32:49Z |
| format | Article |
| id | doaj.art-00b48de21e1f48cdaca7bc9208c5bf37 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-09T19:32:49Z |
| publishDate | 2023-03-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-00b48de21e1f48cdaca7bc9208c5bf372023-04-04T20:02:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-03-0146010.23755/rm.v46i0.1082784Superior Eccentric Domination PolynomialR Tejaskumar0A Mohamed Ismayil1(Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirappalli)(Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirappalli)In this paper we introduce the superior eccentric domination polynomial $SED(G, φ) = β\sum_{ l=\gamma_{sed}(G)} |sed(G, l)|φ^{l}$ where |sed(G, l)| is the number of all distinct superior eccentric dominating sets with cardinality l and $\gamma_{sed}(G)$ is superior eccentric domination number. We find SED(G, φ) for different standard graphs. Results are presented.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1082superior distance, superior eccentricity, superior eccentric domination polynomial |
| spellingShingle | R Tejaskumar A Mohamed Ismayil Superior Eccentric Domination Polynomial Ratio Mathematica superior distance, superior eccentricity, superior eccentric domination polynomial |
| title | Superior Eccentric Domination Polynomial |
| title_full | Superior Eccentric Domination Polynomial |
| title_fullStr | Superior Eccentric Domination Polynomial |
| title_full_unstemmed | Superior Eccentric Domination Polynomial |
| title_short | Superior Eccentric Domination Polynomial |
| title_sort | superior eccentric domination polynomial |
| topic | superior distance, superior eccentricity, superior eccentric domination polynomial |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1082 |
| work_keys_str_mv | AT rtejaskumar superioreccentricdominationpolynomial AT amohamedismayil superioreccentricdominationpolynomial |