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» An Improved Exact Algorithm for Cubic Graph TSP
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APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
13 years 10 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
13 years 5 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
SODA
2008
ACM
135views Algorithms» more  SODA 2008»
13 years 6 months ago
Improved algorithms for orienteering and related problems
In this paper we consider the orienteering problem in undirected and directed graphs and obtain improved approximation algorithms. The point to point-orienteering-problem is the f...
Chandra Chekuri, Nitish Korula, Martin Pál
ICTCS
2005
Springer
13 years 10 months ago
Improved Exact Exponential Algorithms for Vertex Bipartization and Other Problems
Abstract. We study efficient exact algorithms for several problems including Vertex Bipartization, Feedback Vertex Set, 3-Hitting Set, Max Cut in graphs with maximum degree at most...
Venkatesh Raman, Saket Saurabh, Somnath Sikdar
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz