Connected Cubic Network Graph

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, we have proposed a variant of hypercube which is called as “Connected Cubic Network Graphs”, and have investigated th...

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Main Authors: Burhan Selçuk, Ali Karci
Format: Article
Language:English
Published: Elsevier 2017-06-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215098617303439
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author Burhan Selçuk
Ali Karci
author_facet Burhan Selçuk
Ali Karci
author_sort Burhan Selçuk
collection DOAJ
description 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, we have proposed a variant of hypercube which is called as “Connected Cubic Network Graphs”, and have investigated the Hamilton-like properties of Connected Cubic Network Graphs (CCNG). Firstly, we defined CCNG and showed the characteristic analyses of CCNG. Then, we showed that the CCNG has the properties of Hamilton graph, and can be labeled using a Gray coding based recursive algorithm. Finally, we gave the comparison results, a routing algorithm and a bitonic sort algorithm for CCNG. In case of sparsity and cost, CCNG is better than Hypercube.
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spelling doaj.art-87a1803bd12342dd94860209fa16a8f12022-12-21T21:33:30ZengElsevierEngineering Science and Technology, an International Journal2215-09862017-06-0120393494310.1016/j.jestch.2017.04.005Connected Cubic Network GraphBurhan Selçuk0Ali Karci1Computer Engineering Department, Karabük University, Karabük, TurkeyComputer Engineering Department, İnönü University, Malatya, TurkeyHypercube 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, we have proposed a variant of hypercube which is called as “Connected Cubic Network Graphs”, and have investigated the Hamilton-like properties of Connected Cubic Network Graphs (CCNG). Firstly, we defined CCNG and showed the characteristic analyses of CCNG. Then, we showed that the CCNG has the properties of Hamilton graph, and can be labeled using a Gray coding based recursive algorithm. Finally, we gave the comparison results, a routing algorithm and a bitonic sort algorithm for CCNG. In case of sparsity and cost, CCNG is better than Hypercube.http://www.sciencedirect.com/science/article/pii/S2215098617303439Hamilton pathHypercubeGray codeInterconnection networkConnected Cubic Network Graph
spellingShingle Burhan Selçuk
Ali Karci
Connected Cubic Network Graph
Engineering Science and Technology, an International Journal
Hamilton path
Hypercube
Gray code
Interconnection network
Connected Cubic Network Graph
title Connected Cubic Network Graph
title_full Connected Cubic Network Graph
title_fullStr Connected Cubic Network Graph
title_full_unstemmed Connected Cubic Network Graph
title_short Connected Cubic Network Graph
title_sort connected cubic network graph
topic Hamilton path
Hypercube
Gray code
Interconnection network
Connected Cubic Network Graph
url http://www.sciencedirect.com/science/article/pii/S2215098617303439
work_keys_str_mv AT burhanselcuk connectedcubicnetworkgraph
AT alikarci connectedcubicnetworkgraph