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DM
2006
101views more  DM 2006»
13 years 8 months ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
ECCC
2007
109views more  ECCC 2007»
13 years 8 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
COLOGNETWENTE
2010
13 years 6 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
SIAMDM
2010
109views more  SIAMDM 2010»
13 years 2 months ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein
ICPP
1995
IEEE
13 years 11 months ago
Generalized Algorithm for Parallel Sorting on Product Networks
If G is a connected graph with N nodes, its r dimensional product contains Nr nodes. We present an algorithm which sorts Nr keys stored in the rdimensional product of any graph G ...
Antonio Fernández, Nancy Eleser, Kemal Efe