SODA
2012
ACM
12 years 1 months ago
2012
ACM
The Matroid Secretary Problem, introduced by Babaioff et al. (2007), is a generalization of the Classical Secretary Problem. In this problem, elements from a matroid are presente...
CRYPTO
2012
Springer
12 years 1 months ago
2012
Springer
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
GC
2011
Springer
13 years 5 months ago
2011
Springer
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,...
ARSCOM
2004
13 years 10 months ago
2004
A set of points in a Steiner triple system (STS(v)) is said to be independent if no three of these points occur in the same block. In this paper we derive for each k 8 a closed f...
JGT
2007
13 years 10 months ago
2007
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
JSAT
2006
13 years 10 months ago
2006
An independent set of variables is one in which no two variables occur in the same clause in a given k-SAT instance. Recently, independent sets have obtained more attention. Due t...
CORR
2008
Springer
13 years 11 months ago
2008
Springer
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
CORR
2010
Springer
13 years 11 months ago
2010
Springer
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
SODA
2008
ACM
14 years 9 days ago
2008
ACM
Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q P are connected by an ...
APPROX
2008
Springer
14 years 27 days ago
2008
Springer
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...