A quasi-polynomial bound for the diameter of graphs of polyhedra

Gil Kalai; Daniel J. Kleitman

doi:10.1090/S0273-0979-1992-00285-9

A quasi-polynomial bound for the diameter of graphs of polyhedra

Gil Kalai
, Daniel J. Kleitman

Einstein Institute of Mathematics

Research output: Contribution to journal › Comment/debate

95 Scopus citations

Abstract

The diameter of the graph of a d-dimensional polyhedron with n facets is at most n^{log d+2}.

Original language	English
Pages (from-to)	315-316
Number of pages	2
Journal	Bulletin of the American Mathematical Society
Volume	26
Issue number	2
DOIs	https://doi.org/10.1090/S0273-0979-1992-00285-9
State	Published - Apr 1992

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title = "A quasi-polynomial bound for the diameter of graphs of polyhedra",

abstract = "The diameter of the graph of a d-dimensional polyhedron with n facets is at most nlog d+2.",

author = "Gil Kalai and Kleitman, \{Daniel J.\}",

year = "1992",

month = apr,

doi = "10.1090/S0273-0979-1992-00285-9",

language = "אנגלית",

volume = "26",

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journal = "Bulletin of the American Mathematical Society",

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AU - Kleitman, Daniel J.

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N2 - The diameter of the graph of a d-dimensional polyhedron with n facets is at most nlog d+2.

AB - The diameter of the graph of a d-dimensional polyhedron with n facets is at most nlog d+2.

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JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

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A quasi-polynomial bound for the diameter of graphs of polyhedra

Abstract

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