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Locally \(C^ k_ n\) graphs. (English) Zbl 0842.05075
Summary: We completely classify the graphs all of whose neighbourhoods of vertices are isomorphic to \(C^k_n\) \((2\leq k< n)\), where \(C^k_n\) is the \(k\)th power of the cycle \(C_n\) of length \(n\).

MSC:
05C75 Structural characterization of families of graphs
05C38 Paths and cycles
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