Introducing an Orientation into a Given Non-Directed Graph
Bohdan Zelinka (1966)
Matematicko-fyzikálny časopis
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Bohdan Zelinka (1966)
Matematicko-fyzikálny časopis
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Bohdan Zelinka (1999)
Mathematica Bohemica
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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 with period other than 1, the other whether there are cycles of the 4-edge graph operator with period greater than 2. Then a similar theorem follows.
Marián Trenkler, Vladimír Vetchý (1997)
Mathematica Bohemica
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Necessary and sufficient conditions for a graph that its power , , is a magic graph and one consequence are given.