Geodesic
On the number of solutions in random hypergraph 2-colouring
Felicia Rassmann1
1Goethe University Frankfurt
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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We determine the limiting distribution of the logarithm of the number of satisfying assignments in the random $k$-uniform hypergraph 2-colouring problem in a certain density regime for all $k\ge 3$. As a direct consequence we obtain that in this regime the random colouring model is contiguous wrt. the planted model, a result that helps simplifying the transfer of statements between these two models.
DOI : 10.37236/6029
Classification : 05C15, 05C65, 05C80, 60C05
Mots-clés : random hypergraphs, 2-colouring, small subgraph conditioning, partition function, limiting distribution

Felicia Rassmann  1

1 Goethe University Frankfurt 
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Felicia Rassmann. On the number of solutions in random hypergraph 2-colouring. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6029

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