Matrices Associated with D-Distance Magic Graphs and Their Properties

Please use this identifier to cite or link to this item: http://dspace.sfa.org.ua:80/handle/123456789/1229

Title:	Matrices Associated with D-Distance Magic Graphs and Their Properties
Authors:	Semeniuta, M. Shulhin, V.
Keywords:	D-neighborhood D-distance magic labeling D-distance matrix labeling matrix D-distance magic matrix
Issue Date:	23-May-2019
Publisher:	Springer Nature
Citation:	Semeniuta, M. Matrices Associated with D-Distance Magic Graphs and Their Properties / M. Semeniuta, V. Shulhin // Cybernetics and System Analysis. - 2019. - Vol. 55. - P. 441-448. https://doi.org/10.1007/s10559-019-00151-6
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 D1-distance magic if and only if H is a D2-distance magic graph. Graphs G and H are called magic distance-similar and their distance magic constants have been proved to coincide.
URI:	https://link.springer.com/article/10.1007/s10559-019-00151-6 http://dspace.sfa.org.ua:80/handle/123456789/1229
Appears in Collections:	Наукові публікації

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