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STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 8 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
CSDA
2010
124views more  CSDA 2010»
13 years 8 months ago
Statistical inference on attributed random graphs: Fusion of graph features and content
Abstract: Fusion of information from graph features and content can provide superior inference for an anomaly detection task, compared to the corresponding content-only or graph fe...
John Grothendieck, Carey E. Priebe, Allen L. Gorin
CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 8 months ago
Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
In this paper, we study phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a...
Jialing Liu, Vikas Yadav, Hullas Sehgal, Joshua M....
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 10 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
DM
2008
103views more  DM 2008»
13 years 8 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...