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» Expansion Properties Of Levi Graphs
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JSYML
2010
120views more  JSYML 2010»
14 years 4 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
CORR
2010
Springer
82views Education» more  CORR 2010»
14 years 9 months ago
Expansion and Search in Networks
Borrowing from concepts in expander graphs, we study the expansion properties of real-world, complex networks (e.g. social networks, unstructured peer-to-peer or P2P networks) and...
Arun S. Maiya, Tanya Y. Berger-Wolf
CORR
2010
Springer
117views Education» more  CORR 2010»
14 years 9 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
WAW
2007
Springer
122views Algorithms» more  WAW 2007»
15 years 3 months ago
A Geometric Preferential Attachment Model of Networks II
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distributio...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
DAM
2007
97views more  DAM 2007»
14 years 9 months ago
On Sturmian graphs
In this paper we define Sturmian graphs and we prove that all of them have a certain “counting” property. We show deep connections between this counting property and two conj...
Chiara Epifanio, Filippo Mignosi, Jeffrey Shallit,...