Some results on skolem odd difference mean labeling
Let G = (V, E) be a graph with p vertices and q edges. A graph G is said to be skolem odd difference mean if there exists a function f : V(G) → {0, 1, 2, 3,...,p+3q - 3} satisfying f is 1-1 and the induced map f * : E(G) →{1, 3, 5,..., 2q-1} defined by f * (e) = [(f(u)-f(v))/2] i...
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Universidad Católica del Norte, Departamento de Matemáticas
2016
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oai:scielo:S0716-091720160004000042017-01-05Some results on skolem odd difference mean labelingJeyanthi,PKalaiyarasi,RRamya,DSaratha Devi,T Skolem difference mean labeling skolem odd difference mean labeling skolem odd difference mean graph skolem even vertex odd difference mean labeling skolem even vertex odd difference mean graph Let G = (V, E) be a graph with p vertices and q edges. A graph G is said to be skolem odd difference mean if there exists a function f : V(G) → {0, 1, 2, 3,...,p+3q - 3} satisfying f is 1-1 and the induced map f * : E(G) →{1, 3, 5,..., 2q-1} defined by f * (e) = [(f(u)-f(v))/2] is a bijection. A graph that admits skolem odd difference mean labeling is called skolem odd difference mean graph. We call a skolem odd difference mean labeling as skolem even vertex odd difference mean labeling if all vertex labels are even. A graph that admits skolem even vertex odd difference mean labeling is called skolem even vertex odd difference mean graph. In this paper we prove that graphs B(m,n) : Pw, (PmõSn), mPn, mPn U tPs and mK 1,n U tK1,s admit skolem odd difference mean labeling. If G(p, q) is a skolem odd differences mean graph then p≥ q. Also, we prove that wheel, umbrella, Bn and Ln are not skolem odd difference mean graph.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.4 20162016-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000400004en10.4067/S0716-09172016000400004 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Skolem difference mean labeling skolem odd difference mean labeling skolem odd difference mean graph skolem even vertex odd difference mean labeling skolem even vertex odd difference mean graph |
| spellingShingle |
Skolem difference mean labeling skolem odd difference mean labeling skolem odd difference mean graph skolem even vertex odd difference mean labeling skolem even vertex odd difference mean graph Jeyanthi,P Kalaiyarasi,R Ramya,D Saratha Devi,T Some results on skolem odd difference mean labeling |
| description |
Let G = (V, E) be a graph with p vertices and q edges. A graph G is said to be skolem odd difference mean if there exists a function f : V(G) → {0, 1, 2, 3,...,p+3q - 3} satisfying f is 1-1 and the induced map f * : E(G) →{1, 3, 5,..., 2q-1} defined by f * (e) = [(f(u)-f(v))/2] is a bijection. A graph that admits skolem odd difference mean labeling is called skolem odd difference mean graph. We call a skolem odd difference mean labeling as skolem even vertex odd difference mean labeling if all vertex labels are even. A graph that admits skolem even vertex odd difference mean labeling is called skolem even vertex odd difference mean graph. In this paper we prove that graphs B(m,n) : Pw, (PmõSn), mPn, mPn U tPs and mK 1,n U tK1,s admit skolem odd difference mean labeling. If G(p, q) is a skolem odd differences mean graph then p≥ q. Also, we prove that wheel, umbrella, Bn and Ln are not skolem odd difference mean graph. |
| author |
Jeyanthi,P Kalaiyarasi,R Ramya,D Saratha Devi,T |
| author_facet |
Jeyanthi,P Kalaiyarasi,R Ramya,D Saratha Devi,T |
| author_sort |
Jeyanthi,P |
| title |
Some results on skolem odd difference mean labeling |
| title_short |
Some results on skolem odd difference mean labeling |
| title_full |
Some results on skolem odd difference mean labeling |
| title_fullStr |
Some results on skolem odd difference mean labeling |
| title_full_unstemmed |
Some results on skolem odd difference mean labeling |
| title_sort |
some results on skolem odd difference mean labeling |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2016 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000400004 |
| work_keys_str_mv |
AT jeyanthip someresultsonskolemodddifferencemeanlabeling AT kalaiyarasir someresultsonskolemodddifferencemeanlabeling AT ramyad someresultsonskolemodddifferencemeanlabeling AT sarathadevit someresultsonskolemodddifferencemeanlabeling |
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1718439817390325760 |