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Infinite circulants and their properties

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Abstract

In recent years diverse literatures have been published on circulants (cf. [2] and the references cited therein). In this paper we consider the infinite analogues of circulant and random infinite circulant, and their connectivities and hamiltonian properties are discussed. Especially we answer a question of [4] in the case of infinite (undirected) circulants, and some results on random infinite circulants are also obtained.

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References

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Zhang, F., Huang, Q. Infinite circulants and their properties. Acta Mathematicae Applicatae Sinica 11, 280–284 (1995). https://doi.org/10.1007/BF02011193

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  • DOI: https://doi.org/10.1007/BF02011193

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