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arXiv · 2204.09802

On state transfer in Cayley graphs for abelian groups

Arnbjörg Soffía Árnadóttir·Chris Godsil
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Abstract

In this paper, we characterize perfect state transfer in Cayley graphs for abelian groups that have a cyclic Sylow-2-subgroup. This generalizes a result of Bašić from 2013 where he provides a similar characterization for Cayley graphs of cyclic groups.

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Arnbjörg Soffía Árnadóttir, Chris Godsil. 2022-12-13. On state transfer in Cayley graphs for abelian groups. https://doi.org/10.1007/s11128-022-03751-y

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