A remark on graph operators

Zelinka, Bohdan. "A remark on graph operators." Mathematica Bohemica 124.1 (1999): 83-85. <http://eudml.org/doc/248468>.

@article{Zelinka1999,
abstract = {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.},
author = {Zelinka, Bohdan},
journal = {Mathematica Bohemica},
keywords = {graph operator; line graph; $k$-edge graph; graph operator; line graph; -edge graph},
language = {eng},
number = {1},
pages = {83-85},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A remark on graph operators},
url = {http://eudml.org/doc/248468},
volume = {124},
year = {1999},
}

TY - JOUR
AU - Zelinka, Bohdan
TI - A remark on graph operators
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 1
SP - 83
EP - 85
AB - 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.
LA - eng
KW - graph operator; line graph; $k$-edge graph; graph operator; line graph; -edge graph
UR - http://eudml.org/doc/248468
ER -