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On centrally symmetric graphs. (English) Zbl 0863.06009

If \(L\) is a finite graded lattice with \(n\) atoms such that its dual lattice \(L^\star\) is strong and if its covering graph is centrally symmetric, then \(L\) is isomorphic to \(2^n\). This result is proved using a similar result of B. Zelinka which holds for a finite modular lattice with \(n\) atoms.

MSC:

06C10 Semimodular lattices, geometric lattices
05C99 Graph theory
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