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MATHEMATICA BOHEMICA, Vol. 125, No. 4, pp. 481-484 (2000)
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# Locally regular graphs

## Bohdan Zelinka

* Bohdan Zelinka,* Department of Applied Mathematics, Technical University of Liberec, Voronezska 13, 460 01 Liberec, Czech Republic

**Abstract:**
A graph $G$ is called locally $s$-regular if the neighbourhood of each vertex of $G$ induces a subgraph of $G$ which is regular of degree $s$. We study graphs which are locally $s$-regular and simultaneously regular of degree $r$.

**Keywords:** regular graph, locally regular graph

**Classification (MSC2000):** 05C75

**Full text of the article:**

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