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The threshold-two contact process on a random r-regular graph has a first order phase transition
The threshold-two contact process r-regular graph phase transition
2010/11/12
We consider the discrete time threshold-two contact process on a random $r$-regular graph on $n$ vertices. In this process, a vertex with at least two occupied neighbors at time $t$ will be occupied ...
Upper bound for the generalized repetition threshold
Upper bound generalized repetition threshold
2010/12/10
Let A be an a-letter alphabet. We consider fractional powers of A-strings: if x is a n-letter string, xr is a prefix of xxxx . . . having length nr.
The Threshold for the Erdos, Jacobson and Lehel Conjecture Being True
Graph Degree sequence Potentially $K_{k+1}$-graphic sequence
2007/12/12
Let $\sg(k,n)$ be the smallest even integer such that each $n$-term positive graphic sequence with term sum at least $\sg(k,n)$ can be realized by a graph containing a clique of $k+1$ vertices. Erd\H{...