The Ljubljana graph is a specialized graph in the field of graph theory. Specifically, it is a certain type of cubic (or 3-regular) graph, meaning that each vertex has exactly three edges connected to it. The Ljubljana graph is defined by a specific arrangement of vertices and edges, and it has some interesting properties, including being a distance-regular graph. It can be characterized by its vertex set and its connections, which lead to various applications in combinatorial designs and network theory.

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