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CPM
2010
Springer
145views Combinatorics» more  CPM 2010»
13 years 2 months ago
Succinct Representations of Separable Graphs
Abstract. We consider the problem of highly space-efficient representation of separable graphs while supporting queries in constant time in the RAM with logarithmic word size. In p...
Guy E. Blelloch, Arash Farzan
CCCG
2009
13 years 8 months ago
On Graph Thickness, Geometric Thickness, and Separator Theorems
We investigate the relationship between geometric thickness and the thickness, outerthickness, and arboricity of graphs. In particular, we prove that all graphs with arboricity tw...
Christian A. Duncan
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 7 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
IPCO
1993
98views Optimization» more  IPCO 1993»
13 years 8 months ago
A spectral approach to bandwidth and separator problems in graphs
Lower bounds on the bandwidth, the size of a vertex separator of general undirected graphs, and the largest common subgraph of two undirected (weighted) graphs are obtained. The b...
Christoph Helmberg, Bojan Mohar, Svatopluk Poljak,...
COMBINATORICS
2007
66views more  COMBINATORICS 2007»
13 years 7 months ago
The Tripartite Separability of Density Matrices of Graphs
The density matrix of a graph is the combinatorial laplacian matrix of a graph normalized to have unit trace. In this paper we generalize the entanglement properties of mixed dens...
Zhen Wang, Zhixi Wang