Magic p-dimensional cubes of order n ≢ 2 (mod 4)
Magic p-dimensional cubes
On orthogonal Latin -dimensional cubes
We give a construction of orthogonal Latin -dimensional cubes (or Latin hypercubes) of order for every natural number and . Our result generalizes the well known result about orthogonal Latin squares published in 1960 by R. C. Bose, S. S. Shikhande and E. T. Parker.
Convex 4-valent polytopes with prescribed types of faces
On the Face-Vector of a 5-Valent Convex 3-Polytope
On -connected, planar -almost pancyclic graphs
70th birthday of Professor Ernest Jucovič
Characterization of magic graphs
On a generalization of perfect -matching
The paper is concerned with the existence of non-negative or positive solutions to , where is the vertex-edge incidence matrix of an undirected graph. The paper gives necessary and sufficient conditions for the existence of such a solution.
Magic powers of graphs
Necessary and sufficient conditions for a graph that its power , , is a magic graph and one consequence are given.
Constructions of triangular and quadrangular polyhedra of inscribable type
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