On centrally symmetric graphs
Mathematica Bohemica (1996)
- Volume: 121, Issue: 1, page 25-28
- ISSN: 0862-7959
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topStern, Manfred. "On centrally symmetric graphs." Mathematica Bohemica 121.1 (1996): 25-28. <http://eudml.org/doc/247987>.
@article{Stern1996,
abstract = {In this note we extend results on the covering graphs of modular lattices (Zelinka) and semimodular lattices (Gedeonova, Duffus and Rival) to the covering graph of certain graded lattices.},
author = {Stern, Manfred},
journal = {Mathematica Bohemica},
keywords = {covering graph; symmetric graph; centrally symmetric lattice; graded lattice; strong lattice; semimodular lattice; covering graph; symmetric graph; centrally symmetric lattice; graded lattice; strong lattice},
language = {eng},
number = {1},
pages = {25-28},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On centrally symmetric graphs},
url = {http://eudml.org/doc/247987},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Stern, Manfred
TI - On centrally symmetric graphs
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 25
EP - 28
AB - In this note we extend results on the covering graphs of modular lattices (Zelinka) and semimodular lattices (Gedeonova, Duffus and Rival) to the covering graph of certain graded lattices.
LA - eng
KW - covering graph; symmetric graph; centrally symmetric lattice; graded lattice; strong lattice; semimodular lattice; covering graph; symmetric graph; centrally symmetric lattice; graded lattice; strong lattice
UR - http://eudml.org/doc/247987
ER -
References
top- P. Crawley, R. P. Dilworth, Algebraic Theory of Lattices, Prentice Hall, Englewood Cliffs, New Jersey, 1973. (1973) Zbl0494.06001
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- E. Gedeonová, Lattices whose covering graphs are S-graphs, Colloq. Math. Soc. János Bolyai 33 (1980), 407-435. (1980) MR0724274
- E. Gedeonová, Lattices with centrally symmetric covering graphs, Proc. Klagenfurt Conf. June 10-13, 1982, Contributions to General Algebra 2. Verlag Hölder-Pichler-Tempsky, Wien, 1983, pp. 107-113. (1982) MR0721649
- G. Grätzer, General Lattice Theory, Birkhäuser Verlag, Basel, 1978. (1978) MR0504338
- A. Kotzig, Centrally symmetric graphs, Czechoslovak Math. J. 18 (1968), 606-615. (In Russian.) (1968) MR0237376
- J. P. S. Kung, 10.1007/BF00334848, Order 2, 105-112. Zbl0582.06008MR0815856DOI10.1007/BF00334848
- K. Reuter, 10.1007/BF02170062, Acta Math. Hung. 53, 119-127. Zbl0675.06003MR0987044DOI10.1007/BF02170062
- M. Stern, Semimodular Lattices, B.G.Teubner Verlagsgesellschaft, Stuttgart und Leipzig, 1991. (1991) Zbl0743.06008MR1164868
- M. Stern, 10.1016/0012-365X(91)90220-V, Discrete Math. 93 (1991), 97-100. (1991) Zbl0759.06006MR1141266DOI10.1016/0012-365X(91)90220-V
- B. Zelinka, Centrally symmetric Hasse diagrams of finite modular lattices, Czechoslovak Math. J. 20 (1970), 81-83. (1970) Zbl0194.32601MR0255441
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