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140
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ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
14 years 10 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
99
Voted
SIAMDM
2010
111views more  SIAMDM 2010»
14 years 7 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze
WEA
2005
Springer
154views Algorithms» more  WEA 2005»
15 years 6 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
EJC
2008
15 years 23 days ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
78
Voted
RSA
2006
132views more  RSA 2006»
15 years 19 days ago
Almost universal graphs
We study the question as to when a random graph with n vertices and m edges contains a copy of almost all graphs with n vertices and cn/2 edges, c
Alan M. Frieze, Michael Krivelevich