Geodesic
A remark on graph operators
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 83-85

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MR Zbl
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 $\nabla_4$ with period greater than 2. Then a similar theorem follows.
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 $\nabla_4$ with period greater than 2. Then a similar theorem follows.
DOI : 10.21136/MB.1999.125973
Classification : 05C38, 05C99
Keywords: graph operator; line graph; $k$-edge graph 
Zelinka, Bohdan. A remark on graph operators. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 83-85. doi: 10.21136/MB.1999.125973
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[1] Prisner E.: Graph Dynamics. Longman House Ltd., Burnt Mill, Harlow, Essex 1995. | MR | Zbl

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