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» A study of 3-arc graphs
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DAM
2008
67views more  DAM 2008»
15 years 6 months ago
On the variance of Shannon products of graphs
We study the combinatorial problem of finding an arrangement of distinct integers into the ddimensional N-cube so that the maximal variance of the numbers on each -dimensional sec...
József Balogh, Clifford D. Smyth
JGT
2006
40views more  JGT 2006»
15 years 6 months ago
How many graphs are unions of k-cliques?
We study the number F[n; k] of n-vertex graphs that can be written as the edgeunion of k-vertex cliques. We obtain reasonably tight estimates for F[n; k] in the cases (i) k = n-o(...
Béla Bollobás, Graham Brightwell
CN
2000
75views more  CN 2000»
15 years 6 months ago
Graph structure in the Web
The study of the web as a graph is not only fascinating in its own right, but also yields valuable insight into web algorithms for crawling, searching and community discovery, and...
Andrei Z. Broder, Ravi Kumar, Farzin Maghoul, Prab...
FMCAD
2006
Springer
15 years 10 months ago
Liveness and Boundedness of Synchronous Data Flow Graphs
Synchronous Data Flow Graphs (SDFGs) have proven to be suitable for specifying and analyzing streaming applications that run on single- or multi-processor platforms. Streaming appl...
Amir Hossein Ghamarian, Marc Geilen, Twan Basten, ...
FOCS
2004
IEEE
15 years 10 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...