Abstract
By means of analysis and generalization of the hypercube and its variations of the same topological properties and network parameters, a family of interconnection networks, referred to as binary recursive networks, is introduced in this paper. This kind of networks not only provides a powerful method to investigate the hypercube and its variations on the whole, but also puts forth an effective tool to explore new network structure. A constructive proof is presented to show that binary recursive networks are Hamiltonian based on their recursive structures, and thus a universal searching algorithm for Hamiltonian cycle in binary recursive networks is derived.
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Sun, Y., Li, Z., Wang, D. (2007). Hamiltonian Property on Binary Recursive Networks. In: Preparata, F.P., Fang, Q. (eds) Frontiers in Algorithmics. FAW 2007. Lecture Notes in Computer Science, vol 4613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73814-5_21
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DOI: https://doi.org/10.1007/978-3-540-73814-5_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73813-8
Online ISBN: 978-3-540-73814-5
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