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SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 9 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
EJC
2008
13 years 7 months 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. ...
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 9 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
13 years 7 months ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera