Add to ORKGWe prove that the unique least-perimeter way of partitioning the unit 2-dimensional disk into three regions of prescribed areas is by means of the standard graph described in Figure 1.Ministerio de Ciencia y Tecnología BFM2001-348
Graph partitioning is the problem of splitting a graph into two or morepartitions of fixed sizes whi...
International audienceThis article provides numerical evidence that under volume constraint the ball...
<p>A modification of the graph presented at <a href="http://www.plosone.org/article/info:doi/10.1371...
In this work we study the isoperimetric problem of partitioning a planar disk into n regions of pre...
We present conjectured candidates for the least perimeter partition of a disc into N≤10 connected re...
We identify the minimum-perimeter periodic tilings of the plane by equal numbers of regions (cells)...
• The conjectured least perimeter partition is given for bubbles of unit area, including the boundar...
Candidates to the least perimeter partition of a disk into N planar connected regions are calculated...
We consider generalizations of the honeycomb problem to the sphere S2 and seek the perimeter-minim...
The researcher presents a computer-based procedure in determining the minimum number of 2-cliques an...
Candidates to the least perimeter partition of various polygonal shapes into N planar connected equa...
We prove that the optimal way to enclose and separate four planar regions with equal area using the ...
We consider the problem of partitioning (in a certain manner) a rectangle into n regions of equal ar...
AbstractAny partition of a disk into n subdisks can be imbedded in E2 by laying down n triangles one...
International audienceWe study partitions on three dimensional manifolds which minimize the total ge...
Graph partitioning is the problem of splitting a graph into two or morepartitions of fixed sizes whi...
International audienceThis article provides numerical evidence that under volume constraint the ball...
<p>A modification of the graph presented at <a href="http://www.plosone.org/article/info:doi/10.1371...
In this work we study the isoperimetric problem of partitioning a planar disk into n regions of pre...
We present conjectured candidates for the least perimeter partition of a disc into N≤10 connected re...
We identify the minimum-perimeter periodic tilings of the plane by equal numbers of regions (cells)...
• The conjectured least perimeter partition is given for bubbles of unit area, including the boundar...
Candidates to the least perimeter partition of a disk into N planar connected regions are calculated...
We consider generalizations of the honeycomb problem to the sphere S2 and seek the perimeter-minim...
The researcher presents a computer-based procedure in determining the minimum number of 2-cliques an...
Candidates to the least perimeter partition of various polygonal shapes into N planar connected equa...
We prove that the optimal way to enclose and separate four planar regions with equal area using the ...
We consider the problem of partitioning (in a certain manner) a rectangle into n regions of equal ar...
AbstractAny partition of a disk into n subdisks can be imbedded in E2 by laying down n triangles one...
International audienceWe study partitions on three dimensional manifolds which minimize the total ge...
Graph partitioning is the problem of splitting a graph into two or morepartitions of fixed sizes whi...
International audienceThis article provides numerical evidence that under volume constraint the ball...
<p>A modification of the graph presented at <a href="http://www.plosone.org/article/info:doi/10.1371...