Odd harmonious labeling of super subdivisión graphs
Abstract A graph G(p, q) is said to be odd harmonious if there exists an injection 𝑓: V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function 𝑓∗: E(G) → {1, 3, · · · , 2q − 1} defined by 𝑓∗(uv) =...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190001000012019-02-08Odd harmonious labeling of super subdivisión graphsJeyanthi,P.Philo,S.Siddiqui,M. K. harmonious labeling odd harmonious labeling super subdivision of graphs Abstract A graph G(p, q) is said to be odd harmonious if there exists an injection 𝑓: V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function 𝑓∗: E(G) → {1, 3, · · · , 2q − 1} defined by 𝑓∗(uv) = 𝑓 (u) + 𝑓 (v) is a bijection. In this paper we prove that super subdivision of any cycle Cm with m ≥ 3 ,ladder, cycle Cn for n ≡ 0(mod 4) with K1,m and uniform fire cracker are odd harmonious graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.1 20192019-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100001en10.4067/S0716-09172019000100001 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
harmonious labeling odd harmonious labeling super subdivision of graphs |
| spellingShingle |
harmonious labeling odd harmonious labeling super subdivision of graphs Jeyanthi,P. Philo,S. Siddiqui,M. K. Odd harmonious labeling of super subdivisión graphs |
| description |
Abstract A graph G(p, q) is said to be odd harmonious if there exists an injection 𝑓: V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function 𝑓∗: E(G) → {1, 3, · · · , 2q − 1} defined by 𝑓∗(uv) = 𝑓 (u) + 𝑓 (v) is a bijection. In this paper we prove that super subdivision of any cycle Cm with m ≥ 3 ,ladder, cycle Cn for n ≡ 0(mod 4) with K1,m and uniform fire cracker are odd harmonious graphs. |
| author |
Jeyanthi,P. Philo,S. Siddiqui,M. K. |
| author_facet |
Jeyanthi,P. Philo,S. Siddiqui,M. K. |
| author_sort |
Jeyanthi,P. |
| title |
Odd harmonious labeling of super subdivisión graphs |
| title_short |
Odd harmonious labeling of super subdivisión graphs |
| title_full |
Odd harmonious labeling of super subdivisión graphs |
| title_fullStr |
Odd harmonious labeling of super subdivisión graphs |
| title_full_unstemmed |
Odd harmonious labeling of super subdivisión graphs |
| title_sort |
odd harmonious labeling of super subdivisión graphs |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000100001 |
| work_keys_str_mv |
AT jeyanthip oddharmoniouslabelingofsupersubdivisiongraphs AT philos oddharmoniouslabelingofsupersubdivisiongraphs AT siddiquimk oddharmoniouslabelingofsupersubdivisiongraphs |
| _version_ |
1718439842345385984 |