E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles
E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, … |V(G) ∪ E(G)|) such that the edges have the labels from the set {1, 2, 3, …, |E(G)|} and the induced mapping f* given by f* (uv) = f(u) + f(v)...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-08-01
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| Series: | Acta Universitatis Sapientiae: Informatica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ausi-2023-0007 |
| _version_ | 1797743777305067520 |
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| author | Anubala S. Ramachandran V. |
| author_facet | Anubala S. Ramachandran V. |
| author_sort | Anubala S. |
| collection | DOAJ |
| description | E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, … |V(G) ∪ E(G)|) such that the edges have the labels from the set {1, 2, 3, …, |E(G)|} and the induced mapping f* given by f* (uv) = f(u) + f(v) − f(uv) for uv ∈ E(G) has the range {|V(G) ∪ E(G)| + 1, |V(G) ∪ E(G)| + 2, …, |V(G)| + 2|E(G)|} |
| first_indexed | 2024-03-12T15:00:18Z |
| format | Article |
| id | doaj.art-45f3c8426f00481182119ca4e8985c96 |
| institution | Directory Open Access Journal |
| issn | 2066-7760 |
| language | English |
| last_indexed | 2024-03-12T15:00:18Z |
| publishDate | 2023-08-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Acta Universitatis Sapientiae: Informatica |
| spelling | doaj.art-45f3c8426f00481182119ca4e8985c962023-08-14T07:10:15ZengSciendoActa Universitatis Sapientiae: Informatica2066-77602023-08-01151819010.2478/ausi-2023-0007E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cyclesAnubala S.0Ramachandran V.11Department of Mathematics, Sri Kaliswari College, (Autonomous), Sivakasi, Virudhunagar, Tamil Nadu, India.2PG and Researh Department of Mathematics, Mannar Thirumalai Naicker, College, (Autonomous), Pasumalai, Madurai, Tamil Nadu, India.E-super arithmetic graceful labelling of a graph G is a bijection f from the union of the vertex set and edge set to the set of positive integers (1, 2, 3, … |V(G) ∪ E(G)|) such that the edges have the labels from the set {1, 2, 3, …, |E(G)|} and the induced mapping f* given by f* (uv) = f(u) + f(v) − f(uv) for uv ∈ E(G) has the range {|V(G) ∪ E(G)| + 1, |V(G) ∪ E(G)| + 2, …, |V(G)| + 2|E(G)|}https://doi.org/10.2478/ausi-2023-0007e-superhi(m, m)hi(1)(m, m)c4,nc6,n |
| spellingShingle | Anubala S. Ramachandran V. E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles Acta Universitatis Sapientiae: Informatica e-super hi(m, m) hi(1)(m, m) c4,n c6,n |
| title | E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles |
| title_full | E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles |
| title_fullStr | E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles |
| title_full_unstemmed | E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles |
| title_short | E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles |
| title_sort | e super arithmetic graceful labelling of hi m m hi 1 m m and chain of even cycles |
| topic | e-super hi(m, m) hi(1)(m, m) c4,n c6,n |
| url | https://doi.org/10.2478/ausi-2023-0007 |
| work_keys_str_mv | AT anubalas esuperarithmeticgracefullabellingofhimmhi1mmandchainofevencycles AT ramachandranv esuperarithmeticgracefullabellingofhimmhi1mmandchainofevencycles |