None of the coronoid systems can be isometrically embedded into a hypercube

DOI10.1016/j.dam.2007.11.010zbMath1148.05032OpenAlexW2011658846MaRDI QIDQ948707

Heping Zhang, Shou-Jun Xu

Publication date: 17 October 2008

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.11.010

zbMATH Keywords

hypercubeisometric embeddingWiener indexpartial cubebenzenoid systemcoronoid system

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (4)

Analytical expressions for Wiener indices of \(n\)-circumscribed peri-condensed benzenoid graphs ⋮ On partial cubes, well-graded families and their duals with some applications in graphs ⋮ \(l_1\)-embeddability of shifted quadrilateral cylinder graphs ⋮ Embeddability of open-ended carbon nanotubes in hypercubes

Cites Work

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• Wiener index of hexagonal systems
• \(L_ 1\)-embeddability of rectilinear polygons with holes
• Distance-preserving subgraphs of hypercubes
• Embeddings of chemical graphs in hypercubes

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