Original title: Distančně magické očíslování
Translated title: Distance magic labelings
Authors: Pfeiffer, Hayden ; Gregor, Petr (advisor) ; Pangrác, Ondřej (referee)
Document type: Master’s theses
Year: 2024
Language: eng
Abstract: Title: Distance Magic Labelings Author: Hayden Pfeiffer Department: Dept. of Theoretical Computer Science and Mathematical Logic Supervisor: doc. Mgr. Petr Gregor, Ph.D., KTIML, MFF UK Abstract: A distance magic labeling of a graph G is a bijection f : V (G) → {1, 2, . . . , |V (G)|} such that the sum of labels on the neighbourhood of each vertex is constant. A framework based on linear algebra has been developed using the notion of neighbour balance to determine whether there exists a distance magic labeling for a hypercube with dimension n. In this thesis, we extend this framework to all Cayley graphs on Zn 2 . We use this framework to reprove some known results from recent literature. We also use this framework to introduce the notion of component-wise distance magic labelings on Cayley graphs of Zn 2 . Keywords: distance magic labeling, Cayley graph, hypercube, neighbour balance iii
Keywords: distance magic labeling|Cayley graph|hypercube; distančně magické očíslování|Cayleyho graf|hyperkrychle

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/188613

Permalink: http://www.nusl.cz/ntk/nusl-541707


The record appears in these collections:
Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Master’s theses