講演抄録/キーワード |
講演名 |
2010-04-22 16:30
Half-integrality of node-capacitated multiflows and tree-shaped facility locations on trees ○Hiroshi Hirai(Kyoto Univ.) COMP2010-9 |
抄録 |
(和) |
(まだ登録されていません) |
(英) |
In this paper, we establish a novel duality relationship
between node-capacitated multiflows and tree-shaped facility locations.
We prove that the maximum value of
a tree-distance-weighted maximum node-capacitated multiflow problem
is equal to the minimum value of the problem of locating subtrees in a tree,
and the maximum is attained by a half-integral multiflow.
Utilizing this duality, we show that a half-integral optimal multiflow
and an optimal location can be found in strongly polynomial time.
These extend previously known results in the maximum free multiflow problems.
We also show that the set of tree-distance weights is the only class
having bounded fractionality in maximum node-capacitated multiflow problems. |
キーワード |
(和) |
/ / / / / / / |
(英) |
multicommodity flows / metrics / tree-shaped facility locations / polynomial time algorithms / / / / |
文献情報 |
信学技報, vol. 110, no. 12, COMP2010-9, pp. 63-70, 2010年4月. |
資料番号 |
COMP2010-9 |
発行日 |
2010-04-15 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
COMP2010-9 |