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» On the Number of t-Ary Trees with a Given Path Length
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ESA
1994
Springer
138views Algorithms» more  ESA 1994»
13 years 11 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
SPAA
2003
ACM
14 years 29 days ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
ICRA
2005
IEEE
125views Robotics» more  ICRA 2005»
14 years 1 months ago
Path Planning for Variable Resolution Minimal-Energy Curves of Constant Length
— We present a new approach to path planning for flexible wires. We introduce a method for computing stable configurations of a wire subject to manipulation constraints. These ...
Mark Moll, Lydia E. Kavraki
GC
2011
Springer
13 years 2 months ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno
DM
2008
113views more  DM 2008»
13 years 7 months ago
Multivariate Fuss-Catalan numbers
Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Jean-Christophe Aval