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» On Bounds for the k-Partitioning of Graphs
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IPL
2010
115views more  IPL 2010»
14 years 8 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
CORR
2010
Springer
107views Education» more  CORR 2010»
14 years 7 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 8 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
APPML
2011
14 years 4 months ago
Bounds on the k-domination number of a graph
The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove t...
Ermelinda DeLaViña, Wayne Goddard, Michael ...
ISAAC
2010
Springer
268views Algorithms» more  ISAAC 2010»
14 years 7 months ago
On the Intersection of Tolerance and Cocomparability Graphs
It has been conjectured by Golumbic and Monma in 1984 that the intersection of tolerance and cocomparability graphs coincides with bounded tolerance graphs. Since cocomparability g...
George B. Mertzios, Shmuel Zaks