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Optimal transport of closed differential forms for convex costs

Bernard Dacorogna, Olivier Kneuss

Let c : A(k-1) -> R+ be convex and Omega subset of R-n be a bounded domain. Let f(0) and f(1) be two closed k-forms on Omega satisfying appropriate boundary conditions. We discuss the minimization of integral(Omega) c (A) dx over a subset of (k - 1)-forms ...

Elsevier France-Editions Scientifiques Medicales Elsevier2015

Diameter Graphs in R-4

Andrei Kupavskii

A diameter graph in is a graph whose set of vertices is a finite subset of and whose set of edges is formed by pairs of vertices that are at diameter apart. This paper is devoted to the study of different extremal properties of diameter graphs in and on a ...

Springer2014

On grids in topological graphs

János Pach

A topological graph G is a graph drawn in the plane with vertices represented by points and edges represented by continuous arcs connecting the vertices. If every edge is drawn as a straight-line segment, then G is called a geometric graph. A k-grid in a t ...

Elsevier Science Bv2014

A Distributed Polling with Probabilistic Privacy

Rachid Guerraoui, Florian Huc, Yahya Benkaouz

In this paper, we present PDP, a distributed polling protocol that enables a set of participants to gather their opinion on a common interest without revealing their point of view. PDP does not rely on any centralized authority or on heavyweight cryptograp ...

2013

Comparing connectomes across subjects and populations at different scales

Jean-Philippe Thiran, Stephan Morgenthaler, Alessandra Griffa, Elda Fischi Gomez, Patric Hagmann, Djalel Eddine Meskaldji

Brain connectivity can be represented by a network that enables the comparison of the different patterns of struc- tural and functional connectivity among individuals. In the literature, two levels ofstatistical analysis have been con- sidered in comparing ...

2013

Application of a New Sensing Principle for Photoacoustic Imaging of Point Absorbers

Dimitri Nestor Alice Van De Ville, Thierry Blu, Zafer Dogan, Ivana Jovanovic

Photoacoustic tomography (PAT) is a hybrid imaging method, which combines ultrasonic and optical imaging modalities, in order to overcome their respective weaknesses and to combine their strengths. It is based on the reconstruction of optical absorption pr ...

Spie-Int Soc Optical Engineering2013

Erdos-Szekeres-type theorems for monotone paths and convex bodies

János Pach

For any sequence of positive integers j(1)< j(2)= 2 and q >= 2, what is the s ...

London Math Soc2012

A note on chromatic properties of threshold graphs

Dominique de Werra, Bernard Ries, Rico Zenklusen

In threshold graphs one may find weights for the vertices and a threshold value t such that for any subset S of vertices, the sum of the weights is at most the threshold t if and only if the set S is a stable (independent) set. In this note we ask a simila ...

Elsevier2012

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London Math Soc2012

A note on chromatic properties of threshold graphs

Dominique de Werra, Bernard Ries, Rico Zenklusen

Elsevier2012

Comparing connectomes across subjects and populations at different scales

Jean-Philippe Thiran, Stephan Morgenthaler, Alessandra Griffa, Elda Fischi Gomez, Patric Hagmann, Djalel Eddine Meskaldji

2013