共查询到20条相似文献,搜索用时 15 毫秒
2.
3.
4.
5.
6.
7.
A note on two source location problems 总被引:1,自引:1,他引:0
We consider Source Location () problems: given a capacitated network , cost and a demand for every , choose a min-cost so that holds for every , where is the maximum flow value from v to S. In the directed variant, we have demands and and we require and . Undirected is (weakly) NP-hard on stars with for all v except the center. But, it is known to be polynomially solvable for uniform costs and uniform demands. For general instances, both directed an undirected admit a -approximation algorithms, where D is the sum of the demands; up to constant this is tight, unless P = NP. We give a pseudopolynomial algorithm for undirected on trees with running time , where . This algorithm is used to derive a linear time algorithm for undirected with . We also consider the Single Assignment Source Location () where every should be assigned to a single node . While the undirected is in P, we give a -approximation algorithm for the directed case, and show that this is tight, unless P = NP. 相似文献
8.
9.
10.
11.
12.
14.
15.
16.
《Discrete Mathematics》2006,306(19-20):2314-2326
17.
Dana Bartošová Jordi Lopez-Abad Martino Lupini Brice Mbombo 《Comptes Rendus Mathematique》2017,355(12):1242-1246
We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group of surjective linear isometries of the Gurarij space is extremely amenable, and that the canonical action is the universal minimal flow of the group of affine homeomorphisms of the Poulsen simplex . This answers questions of Melleray–Tsankov and Conley–Törnquist. 相似文献
18.
19.
20.
Marius Tărnăuceanu 《Comptes Rendus Mathematique》2018,356(8):843-845
In this note, we prove that the centralizer lattice of a group G cannot be written as a union of two proper intervals. In particular, it follows that has no breaking point. As an application, we show that the generalized quaternion 2-groups are not capable. 相似文献