منابع مشابه
Dispersing points on intervals
We consider a problem of dispersing points on disjoint intervals on a line. Given n pairwise disjoint intervals sorted on a line, we want to find a point in each interval such that the minimum pairwise distance of these points is maximized. Based on a greedy strategy, we present a linear time algorithm for the problem. Further, we also solve in linear time the cycle version of the problem where...
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Representable relation algebras are characterised by a certain property of networks. Representations of relation algebras can be further classiied as homogeneous or universal. These properties are also characterised by properties of networks properties (amalgamation and joint embedding properties). For the homogeneous, universal case a method of constructing interval algebras from point algebra...
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For π ∈ Sn, let d(π) be the arithmetic average of {|i − π(i)|; 1 ≤ i ≤ n}. Then 0 ≤ d(π)/n ≤ 1/2, the expected value of d(π)/n approaches 1/3 as n approaches infinity, and most permutations have d(π)/n close to 1/3. We also describe all permutations with d(π)/n = 1/2. Let s(π) and s∗(π) be the arithmetic and geometric averages of {|π(i) − π(i + 1)|; 1 ≤ i < n}, respectively. Let M, M∗ be the ma...
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In this article we are interested in the representation of qualitative preferences with the help of 3-points intervals (a vector of three increasingly ordered points). Preferences are crucial when an agent has to autonomously make a choice over several possible actions. We provide first of all an axiomatization in order to characterize our representation and then we construct a general framewor...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2018
ISSN: 0166-218X
DOI: 10.1016/j.dam.2017.12.028