Home > Journals > TAG > Vol. 5 > Iss. 1 (2018)
Abstract
We say that a blinking node system modulo n is an ordered pair (G,L) where G is a graph and L is an on-labelling which indicates when vertices can be visited. An On-Hamiltonian walk is a sequence of all the vertices of G such that the position of each vertex modulo n is an integer of the label of that vertex. This paper will primarily investigate finding the shortest On-Hamiltonian walks in a blinking node system on complete graphs and complete bipartite graphs but also establishes the terminology and initial observations for working with blinking node systems on other graphs.
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Recommended Citation
Carrigan, Braxton and Hammer, James
(2018)
"Traveling in Networks with Blinking Nodes,"
Theory and Applications of Graphs: Vol. 5:
Iss.
1, Article 2.
DOI: 10.20429/tag.2018.050102
Available at:
https://digitalcommons.georgiasouthern.edu/tag/vol5/iss1/2
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