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IM
2007
15 years 7 months ago
The Spectral Gap of a Random Subgraph of a Graph
We examine the relationship of a graph G and its random subgraphs which are defined by independently choosing each edge with probability p. Suppose that G has a spectral gap λ (...
Fan R. K. Chung, Paul Horn
ADHOCNOW
2008
Springer
16 years 1 months ago
Localized Spanner Construction for Ad Hoc Networks with Variable Transmission Range
Abstract. This paper presents an algorithm for constructing a spanner for ad hoc networks whose nodes have variable transmission range. Almost all previous spanner constructions fo...
David Peleg, Liam Roditty
COMBINATORICA
2011
14 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
FOCS
2008
IEEE
16 years 1 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
CAV
1998
Springer
138views Hardware» more  CAV 1998»
15 years 11 months ago
Model Checking for a First-Order Temporal Logic Using Multiway Decision Graphs
bstract description of state machines (ASMs), in which data and data operations are d using abstract sort and uninterpreted function symbols. ASMs are suitable for describing Regis...
Ying Xu, Eduard Cerny, Xiaoyu Song, Francisco Core...