Octagonal prime graceful labeling
Let G be a graph with p vertices and q edges. Define a bijection f : V (G) → {1, 8, ..., p(3p - 2)} by f(vi) = i(3i - 2) for every i from 1 to p and define a 1 - 1 mapping fopgl ∗ : E(G) → set of natural number N such that f∗(uv) = |f(u) - f(v)| for all edges (uv) ∈ E(G).The induced function f is sa...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2024-01-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1312 |
| _version_ | 1797338097590992896 |
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| author | V Akshaya |
| author_facet | V Akshaya |
| author_sort | V Akshaya |
| collection | DOAJ |
| description | Let G be a graph with p vertices and q edges. Define a bijection f : V (G) → {1, 8, ..., p(3p - 2)} by f(vi) = i(3i - 2) for every i from 1 to p and define a 1 - 1 mapping fopgl ∗ : E(G) → set of natural number N such that f∗(uv) = |f(u) - f(v)| for all edges (uv) ∈ E(G).The induced function f is said to be octagonal prime graceful labeling if the gcin of each vertex of degree atleast 2 is one. |
| first_indexed | 2024-03-08T09:26:07Z |
| format | Article |
| id | doaj.art-948ccbd063b945a99dae27d88751f3fd |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-08T09:26:07Z |
| publishDate | 2024-01-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-948ccbd063b945a99dae27d88751f3fd2024-01-31T10:00:56ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142024-01-0151010.23755/rm.v51i0.1312892Octagonal prime graceful labelingV AkshayaLet G be a graph with p vertices and q edges. Define a bijection f : V (G) → {1, 8, ..., p(3p - 2)} by f(vi) = i(3i - 2) for every i from 1 to p and define a 1 - 1 mapping fopgl ∗ : E(G) → set of natural number N such that f∗(uv) = |f(u) - f(v)| for all edges (uv) ∈ E(G).The induced function f is said to be octagonal prime graceful labeling if the gcin of each vertex of degree atleast 2 is one.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1312octagonal numbers,octagonal graceful labeling,octagonal graceful graph,octagonal prime graceful labeling |
| spellingShingle | V Akshaya Octagonal prime graceful labeling Ratio Mathematica octagonal numbers,octagonal graceful labeling,octagonal graceful graph,octagonal prime graceful labeling |
| title | Octagonal prime graceful labeling |
| title_full | Octagonal prime graceful labeling |
| title_fullStr | Octagonal prime graceful labeling |
| title_full_unstemmed | Octagonal prime graceful labeling |
| title_short | Octagonal prime graceful labeling |
| title_sort | octagonal prime graceful labeling |
| topic | octagonal numbers,octagonal graceful labeling,octagonal graceful graph,octagonal prime graceful labeling |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1312 |
| work_keys_str_mv | AT vakshaya octagonalprimegracefullabeling |