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DAM
2002
67views more  DAM 2002»
13 years 9 months 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»
13 years 9 months 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
DM
2002
104views more  DM 2002»
13 years 9 months 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
ENTCS
2002
103views more  ENTCS 2002»
13 years 9 months ago
Deciding low levels of tree-automata hierarchy
The paper discusses the hierarchy of indices of finite automata over infinite objects. This hierarchy corresponds exactly to the hierarchy of alternations of least and greatest fi...
Igor Walukiewicz
EOR
2002
80views more  EOR 2002»
13 years 9 months ago
On generalized semi-infinite optimization and bilevel optimization
The paper studies the connections and differences between bilevel problems (BL) and generalized semi-infinite problems (GSIP). Under natural assumptions (GSIP) can be seen as a sp...
Oliver Stein, Georg Still