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GC
2002
Springer
14 years 9 months ago
The Hilbert Series of the Face Ring of a Flag Complex
It is shown that the Hilbert series of the face ring of a clique complex (equivalently, flag complex) of a graph G is, up to a factor, just a specialization of SG (x, y), the subg...
Paul Renteln
APPROX
2006
Springer
162views Algorithms» more  APPROX 2006»
15 years 1 months ago
Approximating Precedence-Constrained Single Machine Scheduling by Coloring
Abstract. This paper investigates the relationship between the dimension theory of partial orders and the problem of scheduling precedenceconstrained jobs on a single machine to mi...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
ADHOCNOW
2008
Springer
15 years 3 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
WEA
2005
Springer
117views Algorithms» more  WEA 2005»
15 years 3 months ago
Vertex Cover Approximations: Experiments and Observations
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
Eyjolfur Asgeirsson, Clifford Stein
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
15 years 3 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...