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3-path-step graph operator; tree; unicyclic graph

References:

[1] F. Escalante, L. Montejano: **Trees and $n$-path invariant graphs, Abstract**. Graph Theory Newsletter 33 (1974).

[2] E. Prisner: **Graph Dynamics**. Longman House, Burnt Mill, Harlow, 1998. MR 1379114