We prove that the optimal way to enclose and separate four planar regions with equal area using the less possible perimeter requires all regions to be connected. Moreover, the topology of such optimal clusters is uniquely determined
Abstract. This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the i...
We prove a quantitative estimate on the number of certain singularities in almost minimizing cluster...
International audienceWe present an efficient algorithm that lists the minimal separators of a 3-con...
The topology of a minimal cluster of four planar regions with equal areas and smallest possible peri...
We prove that the optimal way to enclose and separate four planar regions with equal area using the ...
In this paper we make the final step in finding the optimal way to enclose and separate four planar ...
We consider the soap bubble problem on the sphere S2, which seeks a perimeter-minimizing partition ...
We consider generalizations of the honeycomb problem to the sphere S2 and seek the perimeter-minim...
We present conjectured candidates for the least perimeter partition of a disc into N≤10 connected re...
Candidates to the least perimeter partition of various polygonal shapes into N planar connected equa...
Candidates to the least perimeter partition of a disk into N planar connected regions are calculated...
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that p...
Throughout this paper, I shall show why a circle has the minimum perimeter for a given area, using t...
AbstractIn the plane, the way to enclose the most area with a given perimeter and to use the shortes...
In this paper we discuss the Steiner property for minimal clusters in the plane with an anisotropic ...
Abstract. This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the i...
We prove a quantitative estimate on the number of certain singularities in almost minimizing cluster...
International audienceWe present an efficient algorithm that lists the minimal separators of a 3-con...
The topology of a minimal cluster of four planar regions with equal areas and smallest possible peri...
We prove that the optimal way to enclose and separate four planar regions with equal area using the ...
In this paper we make the final step in finding the optimal way to enclose and separate four planar ...
We consider the soap bubble problem on the sphere S2, which seeks a perimeter-minimizing partition ...
We consider generalizations of the honeycomb problem to the sphere S2 and seek the perimeter-minim...
We present conjectured candidates for the least perimeter partition of a disc into N≤10 connected re...
Candidates to the least perimeter partition of various polygonal shapes into N planar connected equa...
Candidates to the least perimeter partition of a disk into N planar connected regions are calculated...
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that p...
Throughout this paper, I shall show why a circle has the minimum perimeter for a given area, using t...
AbstractIn the plane, the way to enclose the most area with a given perimeter and to use the shortes...
In this paper we discuss the Steiner property for minimal clusters in the plane with an anisotropic ...
Abstract. This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the i...
We prove a quantitative estimate on the number of certain singularities in almost minimizing cluster...
International audienceWe present an efficient algorithm that lists the minimal separators of a 3-con...
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