scholarly journals The Complexity of the Simultaneous Cluster Problem

2014 ◽  
Vol 18 (1) ◽  
pp. 1-34 ◽  
Author(s):  
Zhentao Li ◽  
Manikandan Narayanan ◽  
Adrian Vetta
Keyword(s):  
2019 ◽  
Vol 21 (02) ◽  
pp. 1850007 ◽  
Author(s):  
Dorin Bucur ◽  
Ilaria Fragalà

We prove that the optimal cluster problem for the sum/the max of the first Robin eigenvalue of the Laplacian, in the limit of a large number of convex cells, is asymptotically solved by (the Cheeger sets of) the honeycomb of regular hexagons. The same result is established for the Robin torsional rigidity. In the specific case of the max of the first Robin eigenvalue, we are able to remove the convexity assumption on the cells.


2013 ◽  
Vol 58 (3) ◽  
pp. 429-438 ◽  
Author(s):  
Achim Wechsung ◽  
Spencer D. Schaber ◽  
Paul I. Barton
Keyword(s):  

2010 ◽  
Vol 36 ◽  
pp. 399-406 ◽  
Author(s):  
Jérôme Malick ◽  
Frédéric Roupin

1996 ◽  
Vol 54 (1) ◽  
pp. 670-676 ◽  
Author(s):  
Erik Koch
Keyword(s):  

1999 ◽  
Vol 27 (4) ◽  
pp. 843-851 ◽  
Author(s):  
E. G. Enns ◽  
P. F. Ehlers ◽  
T. Misi

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