Let A be an abelian group with identity element 0. A graph G = (V,E) is said to admit an a-sum A-magic labeling if there exists an edge labeling ℓ : E(G) −→ A \ {0} and a ∈ A such that the induced vertex labeling ℓ+ : V (G) −→ A de_ned by is the constant map, ℓ+(u) = a for all...
Open access
Research Article10.9734/BJMCS/2015/20515
The Klein 4-group, denoted by V4 is an abelian group of order 4. It has elements V= {0, a, b, c}, with a + a = b + b = c + c = 0 and a + b = c, b + c = a, c + a = b. A graph G= (V (G), E(G)), with vertex set V (G) and edge set E(G), is said to be V4 magic if there exists a labeli...
Open access
Research Article10.9734/BJMCS/2015/16439
For any abelian group A, a graph G = (V;E) is said to be A-magic if there exists a labeling ` : E(G) ! A n f0g such that the induced vertex set labeling `+ : V (G) ! A defined by is a constant map. A graph G = (V, E) is said to be a-sum A magic if there there exists an a 2 A su...
Open access
Research Article10.9734/BJMCS/2015/17238