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Embedding \((K_9-C_9)^n\) into interconnection networks

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Abstract

In the world of virtual and connected networks, the study of network’s computing capabilities through graph embedding has grown in prominence. In order to implement algorithms created for the guest graph in the host graph, embedding involves simulating one architecture, called the guest, into another, called the host. In this paper, we have obtained the optimal wirelength of embedding \((K_9-C_9)^n\) into Mesh \(M(3^n,3^n)\), generalized book graph \({\text {GB}}[9,3^{n-1},3^{n-1}]\) and extended firecracker tree \({\text {EF}}_{9^n}\).

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Acknowledgements

We would like to thank Dr. Indra Rajasingh, Adjunct Professor, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, for her valuable suggestions.

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Syeda Afiya and Rajesh M conceived of the presented idea and developed the theory. All authors discussed the results and contributed to the final manuscript.

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Correspondence to M. Rajesh.

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Afiya, S., Rajesh, M. Embedding \((K_9-C_9)^n\) into interconnection networks. J Supercomput (2024). https://doi.org/10.1007/s11227-024-05941-0

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