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» Parity Problems in Planar Graphs
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GD
2006
Springer
13 years 11 months ago
Partitions of Graphs into Trees
In this paper, we study the k-tree partition problem which is a partition of the set of edges of a graph into k edge-disjoint trees. This problem occurs at several places with appl...
Therese C. Biedl, Franz-Josef Brandenburg
COR
2008
95views more  COR 2008»
13 years 7 months ago
Good triangulations yield good tours
Consider the following heuristic for planar Euclidean instances of the Traveling Salesman Problem (TSP): select a subset of the edges which induces a planar graph, and solve eithe...
Adam N. Letchford, Nicholas A. Pearson
CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 7 months ago
Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
Traditional representations of graphs and their duals suggest the requirement that the dual vertices should be placed inside their corresponding primal faces, and the edges of the ...
Cesim Erten, Stephen G. Kobourov