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» On the combinatorics of Galois numbers
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COCOON
2005
Springer
15 years 5 months 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...
COMPGEOM
2004
ACM
15 years 5 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
CPM
2004
Springer
87views Combinatorics» more  CPM 2004»
15 years 5 months ago
A Trie-Based Approach for Compacting Automata
We describe a new technique for reducing the number of nodes and symbols in automata based on tries. The technique stems from some results on anti-dictionaries for data compression...
Maxime Crochemore, Chiara Epifanio, Roberto Grossi...
COCOON
2003
Springer
15 years 5 months ago
On Constrained Minimum Pseudotriangulations
In this paper, we show some properties of a pseudotriangle and present three combinatorial bounds: the ratio of the size of minimum pseudotriangulation of a point set S and the siz...
Günter Rote, Cao An Wang, Lusheng Wang, Yin-F...
PPOPP
2005
ACM
15 years 5 months ago
Fault tolerant high performance computing by a coding approach
As the number of processors in today’s high performance computers continues to grow, the mean-time-to-failure of these computers are becoming significantly shorter than the exe...
Zizhong Chen, Graham E. Fagg, Edgar Gabriel, Julie...