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Parameters for certain locally-regular graphs
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classification
math.CO
keywords
regulargraphscalledcertainconditionseveryexamplesexistence
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abstract
A graph is called $(k,t)$-regular if it is $k$-regular and the induced subgraph on the neighbourhood of every vertex is $t$-regular. We find new conditions on $(k,t)$ for the existence of such graphs and provide a wide range of examples.
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