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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Combinatorica 12 (1992), S. 27-37 
    ISSN: 1439-6912
    Keywords: 52 A 25 ; 90 C 10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We give an upper bound on the number of vertices ofP I , the integer hull of a polyhedronP, in terms of the dimensionn of the space, the numberm of inequalities required to describeP, and the size ϕ of these inequalities. For fixedn the bound isO(m n ϕ n− ). We also describe an algorithm which determines the number of integer points in a polyhedron to within a multiplicative factor of 1+ε in time polynomial inm, ϕ and 1/ε when the dimensionn is fixed.
    Type of Medium: Electronic Resource
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