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FCT
2009
Springer
16 years 1 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
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
16 years 18 days ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
COCOON
2005
Springer
16 years 1 days ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
15 years 12 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
ICRA
1994
IEEE
90views Robotics» more  ICRA 1994»
15 years 10 months ago
Inspection Allocation in Manufacturing Systems: A Genetic Algorithm Approach
In this paper, we are concerned with the problem of location of inspection centers in a multistage manufacturing system. A Genetic algorithm based approach is developed to determi...
Mukesh Taneja, Nukala Viswanadham