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On Antipodal and Diametrical Partial Cubes

We prove that any diametrical partial cube of diameter at most 6 is antipodal. Because any antipodal graph is harmonic, this gives a partial answer to a question of Fukuda and Handa [Antipodal graphs and oriented matroids, Discrete Math. 111 (1993) 245–256] whether any diametrical partial cube is ha...

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Bibliografske podrobnosti
Glavni avtor: Polat Norbert
Format: Artigo
Jezik:Inglês
Izdano: University of Zielona Góra 2021-11-01
Serija:Discussiones Mathematicae Graph Theory
Teme:
Online dostop:https://doi.org/10.7151/dmgt.2305
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