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» On the Chromatic Number of Random Graphs
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FOCS
2003
IEEE
15 years 5 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...
COMBINATORICS
2007
90views more  COMBINATORICS 2007»
14 years 11 months ago
Distinguishability of Locally Finite Trees
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
Mark E. Watkins, Xiangqian Zhou
SODA
1993
ACM
94views Algorithms» more  SODA 1993»
15 years 1 months ago
Analysis of a Simple Greedy Matching Algorithm on Random Cubic Graphs
We consider the performance of a simple greedy matching algorithm MINGREEDY when applied to random cubic graphs. We show that if λn is the expected number of vertices not matched...
Alan M. Frieze, A. J. Radcliffe, Stephen Suen
FOCS
2008
IEEE
15 years 6 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
CAAN
2004
Springer
15 years 5 months ago
Limits and Power Laws of Models for the Web Graph and Other Networked Information Spaces
We consider a generalized copy model of the web graph and related networks, and analyze its limiting behaviour. The model is motivated by previously proposed copying models of the ...
Anthony Bonato, Jeannette C. M. Janssen