DCG
1999
13 years 11 months ago
1999
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...
COMPGEOM
2003
ACM
14 years 4 months ago
2003
ACM
We show how to construct an arrangement of n lines having a monotone path of length Ω(n2−(d/ √ log n)), where d > 0 is some constant, and thus nearly settle the long stan...