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Routing in Recursive Circulant Graphs: Edge Forwarding Index and Hamiltonian Decomposition

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Graph-Theoretic Concepts in Computer Science (WG 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1517))

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Abstract

The recursive circulant graphs G(2m,4) were described in [13] as a concurrent to the hypercube considered as topology for multicomputer networks. In this paper we give the exact value of the edge forwarding index and bisection width of the generalize recursive circulant graphs G(cd m,d) with d > c > 0. Moreover we prove that they admit a Hamiltonian decomposition.

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© 1998 Springer-Verlag Berlin Heidelberg

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Gauyacq, G., Micheneau, C., Raspaud, A. (1998). Routing in Recursive Circulant Graphs: Edge Forwarding Index and Hamiltonian Decomposition. In: Hromkovič, J., Sýkora, O. (eds) Graph-Theoretic Concepts in Computer Science. WG 1998. Lecture Notes in Computer Science, vol 1517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10692760_19

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  • DOI: https://doi.org/10.1007/10692760_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65195-6

  • Online ISBN: 978-3-540-49494-2

  • eBook Packages: Springer Book Archive

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