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» On the Vulnerability of Large Graphs
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DMTCS
2006
66views Mathematics» more  DMTCS 2006»
15 years 6 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
FFA
2006
116views more  FFA 2006»
15 years 6 months ago
Amorphic association schemes with negative Latin square-type graphs
Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La...
James A. Davis, Qing Xiang
CPC
2007
76views more  CPC 2007»
15 years 6 months ago
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Svante Janson, Joel Spencer
ENTCS
2007
104views more  ENTCS 2007»
15 years 6 months ago
Lazy Context Cloning for Non-Deterministic Graph Rewriting
We define a rewrite strategy for a class of non-confluent constructor-based term graph rewriting systems and discuss its correctness. Our strategy and its extension to narrowing...
Sergio Antoy, Daniel W. Brown, Su-Hui Chiang
JUCS
2007
99views more  JUCS 2007»
15 years 6 months ago
Spectral Densest Subgraph and Independence Number of a Graph
: In this paper, we study spectral versions of the densest subgraph problem and the largest independence subset problem. In the first part, we give an algorithm for identifying sm...
Reid Andersen, Sebastian M. Cioaba