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SUPER MAGIC STRENGTH OF SOME NEW CLASSES OF GRAPHS

机译:某些新类的超魔术强度

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A(p.q)- graph G is edge magic if there exists a one-to-one and onto mapping f: V(G)UE(G) → {1,2, …,p + q} such that f(x) + f(y) + f(xy) = C_f is a constant for any edge by xy ∈ E(G) and if f(E) = {1.2, …,q}, then f is a super magic labeling of G. The super magic strength of a super magic graph G denoted by sms(G) is defined to be minimum of all C_f' where the minimum runs over all the super magic labeling of G. In this paper, we introduced above both the concepts and obtained the super magic labeling and super magic strength of new class of graphs such as B_(m,n),(K_(1,m)?K_(1,n)) and C_n ⊙ mK_1
机译:如果存在一对一并映射到映射f上,则A(pq)-图G是边缘魔术:V(G)UE(G)→{1,2,…,p + q},使得f(x) + f(y)+ f(xy)= C_f是通过xy∈E(G)的任意边的常量,并且如果f(E)= {1.2,…,q},则f是G的超魔术标记。由sms(G)表示的超级魔术图G的超级魔术强度定义为所有C_f'的最小值,其中最小值遍历G的所有超级魔术标签。在本文中,我们在上面介绍了这两个概念并得出B_(m,n),(K_(1,m)?K_(1,n))和C_n⊙mK_1等新型图的超级魔术标记和超级魔术强度

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