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» Maximum Induced Matchings of Random Cubic Graphs
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COCOON
2000
Springer
13 years 9 months ago
Maximum Induced Matchings of Random Cubic Graphs
William Duckworth, Nicholas C. Wormald, Michele Zi...
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
SODA
1993
ACM
94views Algorithms» more  SODA 1993»
13 years 6 months ago
Analysis of a Simple Greedy Matching Algorithm on Random Cubic Graphs
We consider the performance of a simple greedy matching algorithm MINGREEDY when applied to random cubic graphs. We show that if λn is the expected number of vertices not matched...
Alan M. Frieze, A. J. Radcliffe, Stephen Suen
JGAA
2007
142views more  JGAA 2007»
13 years 4 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
DAM
2008
131views more  DAM 2008»
13 years 4 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...