On Common and

F. Latoon

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Prime numbers such that the sums of the divisors of their powers are perfect squares

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A Maximum Resonant Set of Polyomino Graphs

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A polyomino graph P is a connected finite subgraph of the infinite plane grid such that each finite face is surrounded by a regular square of side length one and each edge belongs to at least one square. A dimer covering of P corresponds to a perfect matching. Different dimer coverings can interact via an alternating cycle (or square) with respect to them. A set of disjoint squares of P is a resonant set if P has a perfect matching M so that each one of those squares is M-alternating....

One property of triangular numbers.

Deshpande, M.N. (1998)

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Some results on magic squares based on generating magic vectors and R-C similar transformations

Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)

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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...