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» Minimal Partitions of a Graph
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120
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IPL
2008
80views more  IPL 2008»
15 years 3 months ago
Path partitions of hypercubes
A path partition of a graph G is a set of vertex-disjoint paths that cover all vertices of G. Given a set P = {{ai, bi}}m i=1 of pairs of distinct vertices of the n-dimensional hy...
Petr Gregor, Tomás Dvorák
125
Voted
COMBINATORICS
2007
72views more  COMBINATORICS 2007»
15 years 3 months ago
Matrix Partitions with Finitely Many Obstructions
Each m by m symmetric matrix M over 0, 1, ∗, defines a partition problem, in which an input graph G is to be partitioned into m parts with adjacencies governed by M, in the sen...
Tomás Feder, Pavol Hell, Wing Xie
147
Voted
ORDER
2008
61views more  ORDER 2008»
15 years 3 months ago
Partitioning Posets
Given a poset P = (X, ), a partition X1, . . . , Xk of X is called an ordered partition of P if, whenever x Xi and y Xj with x y, then i j. In this paper, we show that for ever...
Viresh Patel
149
Voted
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
15 years 5 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
152
Voted
CLEIEJ
2010
15 years 1 months ago
3D-Via Driven Partitioning for 3D VLSI Integrated Circuits
A 3D circuit is the stacking of regular 2D circuits. The advances on the fabrication and packaging technologies allowed interconnecting stacked 2D circuits by using 3D vias. Howeve...
Sandro Sawicki, Gustavo Wilke, Marcelo O. Johann, ...