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arxiv: 2112.00276 · v1 · pith:IXBYEZW2 · submitted 2021-12-01 · math.CO

Parameters for certain locally-regular graphs

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classification math.CO
keywords regulargraphscalledcertainconditionseveryexamplesexistence
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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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