On Real Roots of Complement Degree Polynomial of Graphs.
Let G=(V,E) be a simple undirected graph of order xi n and let CD(G,i) be the set of vertices of degree i in complement graph and let Cdi(G)=|CD(G,i)|. Then complement degree polynomial of G is defined as CD[G,x]=$\sum_{i=\delta(\overline{G})}^{\Delta(\overline{G})}$Cdi(G)xi. In this paper, focus...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-06-01
|
| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/795 |
| _version_ | 1797786293420163072 |
|---|---|
| author | K Safeera V Anil Kumar |
| author_facet | K Safeera V Anil Kumar |
| author_sort | K Safeera |
| collection | DOAJ |
| description | Let G=(V,E) be a simple undirected graph of order xi n and let CD(G,i) be the set of vertices of degree i in complement graph and let Cdi(G)=|CD(G,i)|. Then complement degree polynomial of G is defined as CD[G,x]=$\sum_{i=\delta(\overline{G})}^{\Delta(\overline{G})}$Cdi(G)xi. In this paper, focus on real roots of complement degree polynomial of graphs and bounds of roots of complement degree polynomial of graphs. |
| first_indexed | 2024-03-13T01:06:53Z |
| format | Article |
| id | doaj.art-70adcaacb48a41df88fefc55a3688ca0 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-13T01:06:53Z |
| publishDate | 2023-06-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-70adcaacb48a41df88fefc55a3688ca02023-07-06T05:58:59ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-06-0147010.23755/rm.v47i0.795754On Real Roots of Complement Degree Polynomial of Graphs.K Safeera0V Anil Kumar1Department of Mathematics, Calicut UniversityDepartment of Mathematics, Calicut UniversityLet G=(V,E) be a simple undirected graph of order xi n and let CD(G,i) be the set of vertices of degree i in complement graph and let Cdi(G)=|CD(G,i)|. Then complement degree polynomial of G is defined as CD[G,x]=$\sum_{i=\delta(\overline{G})}^{\Delta(\overline{G})}$Cdi(G)xi. In this paper, focus on real roots of complement degree polynomial of graphs and bounds of roots of complement degree polynomial of graphs.http://eiris.it/ojs/index.php/ratiomathematica/article/view/795complement degree polynomial , cd-roots. |
| spellingShingle | K Safeera V Anil Kumar On Real Roots of Complement Degree Polynomial of Graphs. Ratio Mathematica complement degree polynomial , cd-roots. |
| title | On Real Roots of Complement Degree Polynomial of Graphs. |
| title_full | On Real Roots of Complement Degree Polynomial of Graphs. |
| title_fullStr | On Real Roots of Complement Degree Polynomial of Graphs. |
| title_full_unstemmed | On Real Roots of Complement Degree Polynomial of Graphs. |
| title_short | On Real Roots of Complement Degree Polynomial of Graphs. |
| title_sort | on real roots of complement degree polynomial of graphs |
| topic | complement degree polynomial , cd-roots. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/795 |
| work_keys_str_mv | AT ksafeera onrealrootsofcomplementdegreepolynomialofgraphs AT vanilkumar onrealrootsofcomplementdegreepolynomialofgraphs |