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» On Bounds for the k-Partitioning of Graphs
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84
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CORR
2004
Springer
83views Education» more  CORR 2004»
14 years 10 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman
63
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FCT
2005
Springer
15 years 3 months ago
Exact Algorithms for Graph Homomorphisms
Graph homomorphism, also called H-coloring, is a natural generalization of graph coloring: There is a homomorphism from a graph G to a complete graph on k vertices if and only if ...
Fedor V. Fomin, Pinar Heggernes, Dieter Kratsch
82
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STACS
2009
Springer
15 years 5 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
15 years 3 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
80
Voted
CSR
2010
Springer
15 years 3 months ago
Balancing Bounded Treewidth Circuits
Algorithmic tools for graphs of small treewidth are used to address questions in complexity theory. For both arithmetic and Boolean circuits, it is shown that any circuit of size ...
Maurice Jansen, Jayalal M. N. Sarma