Distance Based Topological Indices of Double graphs and Strong Double graphs
Topological index is a numerical representation of structure of graph. They are mainly classified as Distance and Degree based topological indices. In this article Distance based topological indices of Double graphs and Strong Double graphs are calculated. Let $G$ be a graph of order $n$ with the ve...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2023-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1207 |
| _version_ | 1797371548826337280 |
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| author | Keerthi G. Mirajkar Shobha Rajashekhar Konnur |
| author_facet | Keerthi G. Mirajkar Shobha Rajashekhar Konnur |
| author_sort | Keerthi G. Mirajkar |
| collection | DOAJ |
| description | Topological index is a numerical representation of structure of graph. They are mainly classified as Distance and Degree based topological indices. In this article Distance based topological indices of Double graphs and Strong Double graphs are calculated. Let $G$ be a graph of order $n$ with the vertex set $ V(G)$ containing vertices $v_1,v_2,....,v_n$. Double graph of graph $G$ is constructed by taking two copies of G in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $ v_i$ and $v_j$ are adjacent in G. Strong Double graph is a double graph in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $i=j$. |
| first_indexed | 2024-03-08T18:21:29Z |
| format | Article |
| id | doaj.art-3a3f8af3932c4938ac6fd235f4f049b7 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-08T18:21:29Z |
| publishDate | 2023-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-3a3f8af3932c4938ac6fd235f4f049b72023-12-30T21:04:20ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-12-0148010.23755/rm.v48i0.1207839Distance Based Topological Indices of Double graphs and Strong Double graphsKeerthi G. Mirajkar0Shobha Rajashekhar Konnur1Karnatak university's Karnatak Arts college Dharwad.Karnatak university's Karnatak Arts college Dharwad.Topological index is a numerical representation of structure of graph. They are mainly classified as Distance and Degree based topological indices. In this article Distance based topological indices of Double graphs and Strong Double graphs are calculated. Let $G$ be a graph of order $n$ with the vertex set $ V(G)$ containing vertices $v_1,v_2,....,v_n$. Double graph of graph $G$ is constructed by taking two copies of G in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $ v_i$ and $v_j$ are adjacent in G. Strong Double graph is a double graph in which a vertex $v_i$ in one copy is adjacent to a vertex $v_j$ in the another copy if $i=j$.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1207topological indicesdouble graphsstrong double graphs |
| spellingShingle | Keerthi G. Mirajkar Shobha Rajashekhar Konnur Distance Based Topological Indices of Double graphs and Strong Double graphs Ratio Mathematica topological indices double graphs strong double graphs |
| title | Distance Based Topological Indices of Double graphs and Strong Double graphs |
| title_full | Distance Based Topological Indices of Double graphs and Strong Double graphs |
| title_fullStr | Distance Based Topological Indices of Double graphs and Strong Double graphs |
| title_full_unstemmed | Distance Based Topological Indices of Double graphs and Strong Double graphs |
| title_short | Distance Based Topological Indices of Double graphs and Strong Double graphs |
| title_sort | distance based topological indices of double graphs and strong double graphs |
| topic | topological indices double graphs strong double graphs |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1207 |
| work_keys_str_mv | AT keerthigmirajkar distancebasedtopologicalindicesofdoublegraphsandstrongdoublegraphs AT shobharajashekharkonnur distancebasedtopologicalindicesofdoublegraphsandstrongdoublegraphs |