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Diskretnaya Matematika, 2009, Volume 21, Issue 2, Pages 146–152
DOI: https://doi.org/10.4213/dm1054 (Mi dm1054) 		 
The diameter of the ridge-graph of a cyclic polytope

A. N. Maksimenko
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DOI: https://doi.org/10.4213/dm1054
Abstract: It is shown that the diameter of the the ridge-graph, that is, the graph of the polytope $C^*(d,n)$ dual to the given polytope, where $d$ is the dimension and $n$ is the number of facets of the polytope, is equal to $n-d-\max\{0,\lceil(n-2d)/(\lfloor d/2\rfloor+1)\rceil\}$.
Received: 30.11.2007
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 1, Pages 47–53
DOI: https://doi.org/10.1515/DMA.2009.003
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: A. N. Maksimenko, “The diameter of the ridge-graph of a cyclic polytope”, Diskr. Mat., 21:2 (2009), 146–152; Discrete Math. Appl., 19:1 (2009), 47–53
Citation in format AMSBIB
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\by A.~N.~Maksimenko
\paper The diameter of the ridge-graph of a~cyclic polytope
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 2
\pages 146--152
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\crossref{https://doi.org/10.4213/dm1054}
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\elib{https://elibrary.ru/item.asp?id=20730294}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 1
\pages 47--53
\crossref{https://doi.org/10.1515/DMA.2009.003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-63849243255}
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    		Дискретная математика
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