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FCT
2009
Springer
14 years 3 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
GD
2004
Springer
14 years 2 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...
CDC
2009
IEEE
126views Control Systems» more  CDC 2009»
14 years 1 months ago
H2 performance of agreement protocol with noise: An edge based approach
— This work presents an H2 performance analysis of the agreement protocol in the presence of noise. The agreement protocol is first transformed into an equivalent system induced...
Daniel Zelazo, Mehran Mesbahi
AAAI
2006
13 years 10 months ago
Memory Intensive Branch-and-Bound Search for Graphical Models
AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sens...
Radu Marinescu 0002, Rina Dechter
ICALP
2009
Springer
14 years 9 months ago
Universal Succinct Representations of Trees?
Abstract. We consider the succinct representation of ordinal and cardinal trees on the RAM with logarithmic word size. Given a tree T, our representations support the following ope...
Arash Farzan, Rajeev Raman, S. Srinivasa Rao