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A new infinite family of star normal quotient graphs of twisted wreath type
Eda Kaja1, Luke Morgan2,3
1TU Darmstadt, S2|15 217, Schlossgartenstr. 7, 64289 Darmstadt, Germany.
Abstract:
We construct the first infinite families of locally 2-arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger's program for the classification of locally 2-arc transitive graphs by showing that the star normal quotient twisted wreath category also contains infinitely many graphs.
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