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COLOGNETWENTE
2010
14 years 11 months ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik
79
Voted
ENTCS
2008
100views more  ENTCS 2008»
15 years 22 days ago
Implementing an EJB3-Specific Graph Transformation Plugin by Using Database Independent Queries
The current paper presents a novel approach to implement a graph transformation engine as an EJB3-specific plugin by using EJB QL queries for pattern matching. The essence of the ...
Gergely Varró
116
Voted
JCT
2007
146views more  JCT 2007»
15 years 16 days ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
95
Voted
MFCS
2007
Springer
15 years 6 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
JGT
2010
113views more  JGT 2010»
14 years 11 months ago
Coloring plane graphs with independent crossings
We show that every plane graph with maximum face size four whose all faces of size four are vertex-disjoint is cyclically 5-colorable. This answers a question of Albertson whether...
Daniel Král', Ladislav Stacho