UDC 519.1:512.643
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2 Flight Academy of the National Aviation University, Kropyvnytskyi, Ukraine
 vashulgin@ukr.net
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MATRICES ASSOCIATED WITH D-DISTANCE MAGIC GRAPHS
AND THEIR PROPERTIES
Abstract. Matrices associated with D -distance magic graphs are considered in the paper.
Results regarding the spectral properties of these matrices have been obtained.
It has been proved that if two graphs G and H of the same order have similar distance matrices AD1 and AD2 respectively,
then graph G is D 1 -distance magic if and only if H is a D 2 -distance magic graph.
Graphs G and H are called magic distance-similar and their distance magic constants have been proved to coincide.
Keywords: D -neighborhood, D -distance magic labeling,
D -distance matrix, matrix of labeling, D -distance magic matrix.
FULL TEXT
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