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{\bf Anna Adamaszek and Micha{\l} Adamaszek}
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{\bf Uniqueness of Graph Square Roots of Girth Six}
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We prove that if two graphs of girth at least $6$ have isomorphic
squares, then the graphs themselves are isomorphic. This is the best
possible extension of the results of Ross and Harary on trees and the
results of Farzad et al. on graphs of girth at least $7$. We also make
a remark on reconstruction of graphs from their higher powers.
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