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» The lattice dimension of a graph
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FOCS
2004
IEEE
15 years 1 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
ICTAI
2000
IEEE
15 years 2 months ago
Consistency checking for Euclidean spatial constraints: a dimension graph approach
In this paper, we address the problem of consistency checking for Euclidean spatial constraints. A dimension graph representation is proposed to maintain the Euclidean spatial con...
Xuan Liu, Shashi Shekhar, Sanjay Chawla
IDEAS
2005
IEEE
111views Database» more  IDEAS 2005»
15 years 3 months ago
Evaluation of Queries on Tree-Structured Data Using Dimension Graphs
The recent proliferation of XML-based standards and technologies for managing data on the Web demonstrates the need for effective and efficient management of treestructured data....
Theodore Dalamagas, Dimitri Theodoratos, Antonis K...
DM
2002
116views more  DM 2002»
14 years 9 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
84
Voted
DAM
2007
141views more  DAM 2007»
14 years 9 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall