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Odd Vertex Equitable Even Labeling of Cycle Related Graphs

Author
Jeyanthi, P.

Maheswari, A.

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2046
10.4067/S0719-06462018000200013
Abstract
Let G be a graph with p vertices and q edges and A = {1, 3, ..., q} if q is odd or A = {1, 3, ..., q + 1} if q is even. A graph G is said to admit an odd vertex equitable even labeling if there exists a vertex labeling f : V(G) → A that induces an edge labeling f∗ defined by f∗ (uv) = f(u) + f(v) for all edges uv such that for all a and b in A, |vf(a) − vf(b)| ≤ 1 and the induced edge labels are 2, 4, ..., 2q where vf(a) be the number of vertices v with f(v) = a for a ∈ A. A graph that admits an odd vertex equitable even labeling is called an odd vertex equitable even graph. Here, we prove that the subdivision of double triangular snake (S(D(Tn))), subdivision of double quadrilateral snake (S(D(Qn))), DA(Qm) ⊙ nK1 and DA(Tm) ⊙ nK1 are odd vertex equitable even graphs.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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