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» On the Chromatic Number of Random Graphs
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INFOCOM
2003
IEEE
15 years 9 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...
RSA
2006
66views more  RSA 2006»
15 years 4 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
115
Voted
SAGA
2007
Springer
15 years 10 months ago
Approximate Discovery of Random Graphs
In the layered-graph query model of network discovery, a query at a node v of an undirected graph G discovers all edges and non-edges whose endpoints have different distance from ...
Thomas Erlebach, Alexander Hall, Matús Miha...
EJC
2006
15 years 4 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
ENDM
2006
70views more  ENDM 2006»
15 years 4 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich