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GD
2004
Springer
13 years 10 months ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
GD
2006
Springer
13 years 9 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
CONSTRAINTS
2008
90views more  CONSTRAINTS 2008»
13 years 5 months ago
Combining Tree Partitioning, Precedence, and Incomparability Constraints
The tree constraint partitions a directed graph into node-disjoint trees. In many practical applications that involve such a partition, there exist side constraints specifying requ...
Nicolas Beldiceanu, Pierre Flener, Xavier Lorca
DAM
2007
81views more  DAM 2007»
13 years 5 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
ARSCOM
2002
70views more  ARSCOM 2002»
13 years 5 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...