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» On the b-Independence Number of Sparse Random Graphs
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ALGORITHMICA
1998
73views more  ALGORITHMICA 1998»
13 years 5 months ago
Linear Probing and Graphs
Mallows and Riordan showed in 1968 that labeled trees with a small number of inversions are related to labeled graphs that are connected and sparse. Wright enumerated sparse connec...
Donald E. Knuth
INFOCOM
2003
IEEE
13 years 10 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...
CP
2004
Springer
13 years 10 months ago
How Much Backtracking Does It Take to Color Random Graphs? Rigorous Results on Heavy Tails
Many backtracking algorithms exhibit heavy-tailed distributions, in which their running time is often much longer than their median. We analyze the behavior of two natural variant...
Haixia Jia, Cristopher Moore
SIGMETRICS
2003
ACM
150views Hardware» more  SIGMETRICS 2003»
13 years 10 months ago
Conductance and congestion in power law graphs
It has been observed that the degrees of the topologies of several communication networks follow heavy tailed statistics. What is the impact of such heavy tailed statistics on the...
Christos Gkantsidis, Milena Mihail, Amin Saberi
ICALP
2007
Springer
13 years 11 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...