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Vertex-Transitive Haar Graphs That Are Not Cayley Graphs

Vertex-Transitive Haar Graphs That Are Not Cayley Graphs

In a recent paper in Electron. J. Combin. 23 (2016), Estélyi and Pisanski raised a question whether there exist vertex-transitive Haar graphs that are not Cayley graphs. In this note we construct an infinite family of trivalent Haar graphs that are vertex-transitive but non-Cayley. The smallest example has 40 vertices …