Redefining fractal cubic networks and determining their metric dimension and fault-tolerant metric dimension

M Arulperumjothi, S Klavžar, S Prabhu - Applied Mathematics and …, 2023 - Elsevier
In network theory, distance parameters are crucial in analyzing structural aspects of the
networks under investigation, including their symmetry, connectedness, and tendency to …

Power domination and resolving power domination of fractal cubic network

S Prabhu, AK Arulmozhi, MA Henning… - arXiv preprint arXiv …, 2024 - arxiv.org
In network theory, the domination parameter is vital in investigating several structural
features of the networks, including connectedness, their tendency to form clusters …

[HTML][HTML] Hamiltonian path, routing, broadcasting algorithms for connected square network graphs

B Selçuk, ANA Tankül - … Science and Technology, an International Journal, 2023 - Elsevier
Abstract Connected Square Network Graphs (CSNG) in the study of Selcuk (2022) and
Selcuk and Tankul (2022) is reconsidered in this paper. Although (CSNG) is a 2 …

On fractal cubic network graphs

ANA Tankul, B Selcuk, MK Turan - Journal of Parallel and Distributed …, 2024 - Elsevier
The fractal cubic network graphs (FCNG) previously studied by Karci and Selcuk (2015) are
revised in this paper. First, general information about FCNG is given, and new topological …

Certain Domination Parameters and its Resolving Version of Fractal Cubic Networks

S Prabhu, AK Arulmozhi, M Arulperumjothi - arXiv preprint arXiv …, 2024 - arxiv.org
Networks are designed to communicate, operate and allocate the tasks to the respective
commodities. Operating the supercomputers became challenging, and it was handled by the …

Certain Domination Parameters and Their Resolving Versions of Fractal Cubic Networks

S Prabhu, AK Arulmozhi… - Fractal and …, 2024 - search.proquest.com
Networks are designed to communicate, operate, and allocate tasks to respective
commodities. Operating supercomputers became challenging, which was handled by the …

Transfinite fractal dimension of trees and hierarchical scale-free graphs

J Komjáthy, R Molontay, K Simon - Journal of Complex Networks, 2019 - academic.oup.com
In this article, we introduce a new concept: the transfinite fractal dimension of graph
sequences motivated by the notion of fractality of complex networks proposed by Song et al …

[HTML][HTML] Connected cubic network graph

B Selçuk, A Karci - Engineering science and technology, an international …, 2017 - Elsevier
Hypercube is a popular interconnection network. Due to the popularity of hypercube, more
researchers pay a great effort to develop the different variants of hypercube. In this paper …

Connected Square Network Graphs

B Selçuk - Universal Journal of Mathematics and Applications, 2022 - dergipark.org.tr
In this study, connected square network graphs are introduced and two different definitions
are given. Firstly, connected square network graphs are shown to be a Hamilton graph …

Embedding of Hypercube into Fractal Cubic Network

RS Rajan, RM Reji, N Sadagopan… - Parallel Processing …, 2024 - World Scientific
The implementation of parallel algorithms and the simulation of interconnection networks
can be modeled into a graph embedding problem. Several cost parameters are used to …