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DM
2006
87views more  DM 2006»
13 years 5 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 5 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 9 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 5 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 4 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...