01.01.09 (Discrete mathematics and mathematical cybernetics)
Keywords:
Graph decompositions,
half starters,
Mutually orthogonal Latin squares,
graph squares.
Subject:
Mutually orthogonal graph squares
Main publications:
M Higazy, A El-Mesady, MS Mohamed, “On Graph-Orthogonal Arrays by Mutually Orthogonal Graph Squares
\journal Symmetry”, 12, no. 11, 2020
M Higazy, A El-Mesady, Emad E Mahmoud, Monagi H Alkinani, “Circular intensely orthogonal double cover design of balanced complete multipartite graphs”, Symmetry, 12:10 (2020)
R El-Shanawany, A El-Mesady, “Mutually orthogonal graph squares for disjoint unions of stars”, ARS COMBINATORIA, 149 (2020), 83-91
R El-Shanawany, A El-Mesady, “CYCLIC ORTHOGONAL DOUBLE COVERS OF CIRCULANTS BY DISJOINT UNIONS OF ONE CATERPILLAR AND CERTAIN NERVE CELL GRAPHS”, CONTRIBUTIONS TO DISCRETE MATHEMATICS, 14:1 (2019), 105-116
R El-Shanawany, A El-Mesady, “On the one edge algorithm for the orthogonal double covers”, Prikl. Diskr. Mat., 2019, no. 45, 78–84
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