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DCG
1999
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13 years 5 months ago
Piles of Cubes, Monotone Path Polytopes, and Hyperplane Arrangements
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...
Christos A. Athanasiadis
COCOON
2001
Springer
13 years 10 months ago
A Space Saving Trick for Directed Dynamic Transitive Closure and Shortest Path Algorithms
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Valerie King, Mikkel Thorup
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 5 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
DM
1999
73views more  DM 1999»
13 years 5 months ago
Enumeration of mosaics
Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of "enumeration under finite group actions" are applied f...
Harald Fripertinger
CPM
1999
Springer
129views Combinatorics» more  CPM 1999»
13 years 10 months ago
On the Structure of Syntenic Distance
This paper examines some of the rich structure of the syntenic distance model of evolutionary distance, introduced by Ferretti et al. (1996). The syntenic distance between two gen...
David Liben-Nowell