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» On the Chromatic Number of Random Graphs
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INFOCOM
2003
IEEE
15 years 5 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»
14 years 11 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
SAGA
2007
Springer
15 years 6 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
14 years 11 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»
14 years 11 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