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DM
2006
87views more  DM 2006»
13 years 7 months ago
A vertex incremental approach for maintaining chordality
For a chordal graph G = (V, E), we study the problem of whether a new vertex u V and a given set of edges between u and vertices in V can be added to G so that the resulting grap...
Anne Berry, Pinar Heggernes, Yngve Villanger
DAM
2008
115views more  DAM 2008»
13 years 7 months ago
Variable space search for graph coloring
Let G = (V, E) be a graph with vertex set V and edge set E. The k-coloring problem is to assign a color (a number chosen in {1, . . . , k}) to each vertex of G so that no edge has...
Alain Hertz, Matthieu Plumettaz, Nicolas Zufferey
STOC
2010
ACM
269views Algorithms» more  STOC 2010»
13 years 11 months ago
Approximations for the Isoperimetric and Spectral Profile of Graphs and Related Parameters
The spectral profile of a graph is a natural generalization of the classical notion of its Rayleigh quotient. Roughly speaking, given a graph G, for each 0 < < 1, the spect...
Prasad Raghavendra, David Steurer and Prasad Tetal...
JGT
2007
112views more  JGT 2007»
13 years 7 months ago
The 2-dimensional rigidity of certain families of graphs
Laman’s characterization of minimally rigid 2-dimensional generic frameworks gives a matroid structure on the edge set of the underlying graph, as was first pointed out and expl...
Bill Jackson, Brigitte Servatius, Herman Servatius
DCC
2007
IEEE
14 years 7 months ago
Distributed Functional Compression through Graph Coloring
We consider the distributed computation of a function of random sources with minimal communication. Specifically, given two discrete memoryless sources, X and Y , a receiver wishe...
Devavrat Shah, Muriel Médard, Sidharth Jagg...