Abstract
In this article we study the problem of finding the k-adjacency dimension of a graph. We give some necessary and sufficient conditions for the existence of a k-adjacency basis of an arbitrary graph G and we obtain general results on the k-adjacency dimension, including general bounds and closed formulae for some families of graphs.
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APA
Estrada-Moreno, A., Ramírez-Cruz, Y., & Rodríguez-Velázquez, J. A. (2016). On the adjacency dimension of graphs. Applicable Analysis and Discrete Mathematics, 10(1), 102–127. https://doi.org/10.2298/AADM151109022E
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