On antipodal and diametrical partial cubes

DOI10.7151/dmgt.2305zbMath1468.05063OpenAlexW3007053336MaRDI QIDQ2042626

Norbert Polat

Publication date: 21 July 2021

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2305

zbMATH Keywords

diameterpartial cubeisometric dimensionantipodal graphharmonic graphdiametrical graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Distance in graphs (05C12)

Cites Work

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• There are no finite partial cubes of girth more than 6 and minimum degree at least 3
• Antipodal graphs and oriented matroids
• Isometric embedding in products of complete graphs
• Unique eccentric point graphs
• On some characterizations of antipodal partial cubes
• Almost self-centered median and chordal graphs
• Graphs without dead ends
• On tope graphs of complexes of oriented matroids
• Remark on the graphs with a central symmetry
• Distance-preserving subgraphs of hypercubes
• Even graphs
• n‐cubes and median graphs
• Isometric subgraphs of Hamming graphs and d-convexity

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