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» Graphs, partitions and Fibonacci numbers
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche
JCT
2008
103views more  JCT 2008»
13 years 8 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
PAKDD
2004
ACM
183views Data Mining» more  PAKDD 2004»
14 years 1 months ago
Constraint-Based Graph Clustering through Node Sequencing and Partitioning
This paper proposes a two-step graph partitioning method to discover constrained clusters with an objective function that follows the well-known minmax clustering principle. Compar...
Yu Qian, Kang Zhang, Wei Lai
ICRA
2006
IEEE
134views Robotics» more  ICRA 2006»
14 years 2 months ago
Hierarchical Map Building and Planning based on Graph Partitioning
— Mobile robot localization and navigation requires a map - the robot’s internal representation of the environment. A common problem is that path planning becomes very ineffic...
Zoran Zivkovic, Bram Bakker, Ben J. A. Kröse
COMBINATORICA
2006
125views more  COMBINATORICA 2006»
13 years 8 months ago
Coloring Subgraphs of the Rado Graph
Given a universal binary countable homogeneous structure U and n , there is a partition of the induced n-element substructures of U into finitely many classes so that for any par...
Norbert W. Sauer