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» Small subgraphs of random regular graphs
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JCT
2007
117views more  JCT 2007»
15 years 3 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
114
Voted
INFOCOM
2003
IEEE
15 years 8 months ago
Sampling Biases in IP Topology Measurements
— Considerable attention has been focused on the properties of graphs derived from Internet measurements. Router-level topologies collected via traceroute-like methods have led s...
Anukool Lakhina, John W. Byers, Mark Crovella, Pen...
ALGORITHMICA
2011
14 years 10 months ago
On Dissemination Thresholds in Regular and Irregular Graph Classes
We investigate the natural situation of the dissemination of information on various graph classes starting with a random set of informed vertices called active. Initially active ve...
Ivan Rapaport, Karol Suchan, Ioan Todinca, Jacques...
SIAMDM
2008
79views more  SIAMDM 2008»
15 years 3 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
FOCS
2008
IEEE
15 years 9 months ago
Mixing Time of Exponential Random Graphs
A plethora of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommu...
Shankar Bhamidi, Guy Bresler, Allan Sly