On group labeling of some graphs / Semeniuta, / Donets. (2020)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2020, 56 (5))

Semeniuta M.F., Donets G.A.
On group labeling of some graphs

Group labelings of magic and antimagic types are analyzed and relationship between them for the graph and its complement are established. The concept of closed group distance magic labeling is introduced. The existence conditions for Z22m-distance magic labeling of the graph C4m are found, and a method for its construction is proposed. The existence conditions for Z2r-distance magic and antimagic labelings of the Cartesian product of regular graphs are established. The results of group remote magic labeling of the connection of two graphs are obtained. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: D-distance magic labeling, group distance antimagic labeling, group distance magic labeling, Cybernetics, Antimagic, Cartesian Products, Closed groups, Existence conditions, Labelings, Magic labeling, Regular graphs, Two-graphs, Computer science


Cite:
Semeniuta M.F., Donets G.A. (2020). On group labeling of some graphs. Cybernetics and Systems Analysis, 56 (5), 18–28. doi: https://doi.org/10.1007/s10559-020-00287-w http://jnas.nbuv.gov.ua/article/UJRN-0001152215 [In Russian].


 

Institute of Information Technologies of VNLU


+38 (044) 525-36-24
Ukraine, 03039, Kyiv, Holosiivskyi Ave, 3, room 209