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133
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DAM
2002
67views more  DAM 2002»
15 years 19 days ago
Optimal arrangement of data in a tree directory
We define the decision problem data arrangement, which involves arranging the vertices of a graph G at the leaves of a d-ary tree so that a weighted sum of the distances between p...
Malwina J. Luczak, Steven D. Noble
DM
2002
134views more  DM 2002»
15 years 19 days ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon
101
Voted
DM
2002
104views more  DM 2002»
15 years 19 days ago
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph
A dual-eulerian graph is a plane graph which has an ordering defined on its edge set which forms simultaneously an Euler circuit in the graph and an euler circuit in the dual grap...
Brigitte Servatius, Herman Servatius
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
15 years 18 days ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
DCG
1999
74views more  DCG 1999»
15 years 14 days ago
Piles of Cubes, Monotone Path Polytopes, and Hyperplane Arrangements
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...
Christos A. Athanasiadis