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JGAA
2007
142views more  JGAA 2007»
13 years 7 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
COCOON
2005
Springer
14 years 1 months ago
A Tight Analysis of the Maximal Matching Heuristic
We study the worst-case performance of the maximal matching heuristic applied to the Minimum Vertex Cover and Minimum Maximal Matching problems, through a careful analysis of tigh...
Jean Cardinal, Martine Labbé, Stefan Langer...
COCOON
2004
Springer
14 years 1 months ago
An Approximation Algorithm for Weighted Weak Vertex Cover Problem in Undirected Graphs
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Yong Zhang, Hong Zhu
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
13 years 11 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
DM
2008
114views more  DM 2008»
13 years 7 months ago
Subdivisions of graphs: A generalization of paths and cycles
One of the basic results in graph theory is Dirac's theorem, that every graph of order n 3 and minimum degree n/2 is Hamiltonian. This may be restated as: if a graph of ord...
Ch. Sobhan Babu, Ajit A. Diwan