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» An Undecidable Linear Order That Is n-Decidable for All n
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CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 7 months ago
Bipolarization of posets and natural interpolation
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of [0, 1]n. We take this basic fact as a starting poin...
Michel Grabisch, Christophe Labreuche
KDD
2008
ACM
193views Data Mining» more  KDD 2008»
14 years 8 months ago
A family of dissimilarity measures between nodes generalizing both the shortest-path and the commute-time distances
This work introduces a new family of link-based dissimilarity measures between nodes of a weighted directed graph. This measure, called the randomized shortest-path (RSP) dissimil...
Luh Yen, Marco Saerens, Amin Mantrach, Masashi Shi...
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 6 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
CORR
2007
Springer
104views Education» more  CORR 2007»
13 years 7 months ago
Sorting and Selection in Posets
Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study a more general setting, in which some pairs...
Constantinos Daskalakis, Richard M. Karp, Elchanan...