L(1,1)-Labeling of direct product of cycles

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on direct sums of baer modules

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Group distance magic labeling of Cartesian product of cycles

A group distance magic labeling of a graph G(V, E) with |V | = n is an injection from V to an abelian group Γ of order n such that the sum of labels of all neighbors of every vertex x ∈ V is equal to the same element μ ∈ Γ. We completely characterize all Cartesian products Ck Cm that admit a group distance magic labeling by Zkm.

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Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles

This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given pro...

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L(2,1)-Labeling of the Strong Product of Paths and Cycles

An L(2,1)-labeling of a graph G = (V, E) is a function f from the vertex set V(G) to the set of nonnegative integers such that the labels on adjacent vertices differ by at least two and the labels on vertices at distance two differ by at least one. The span of f is the difference between the largest and the smallest numbers in f(V). The λ-number of G, denoted by λ(G), is the minimum span over a...

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ژورنال

عنوان ژورنال: Discrete Mathematics, Algorithms and Applications

سال: 2016

ISSN: 1793-8309,1793-8317

DOI: 10.1142/s1793830916500038