A remark on graph operators

Bohdan Zelinka · Mathematica Bohemica · 1999

A theorem is proved which implies affirmative answers to the problems of E. Prisner. One problem is whether there are cycles of the line graph operator $L$ with period other than 1, the other whether there are cycles of the 4-edge graph operator $ abla_4$ with period greater than 2. Then a similar theorem follows.

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