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IM
2007
15 years 21 days 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
102
Voted
ADHOCNOW
2008
Springer
15 years 7 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
220
Voted
COMBINATORICA
2011
14 years 18 days 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
107
Voted
FOCS
2008
IEEE
15 years 7 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 5 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...