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One of the key questions in contemporary applied cryptography is whether there exist an efficient algorithm for solving the discrete logarithm problem in elliptic curves. The primary approach for this...
We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
An analytical approach is developed to obtain the exact expressions for the two-point resistance, and the total effective resistance of the complete graph minus $N$ edges of the opposite vertices. The...
We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph with n vertices. Ea...
We study the following random walks system on the complete graph with n vertices.At time zero,there is a number of active and inactive particles living on the vertices.Active particles move as continu...
Random matching problems on the complete graph      graph  matching  expected value       font style='font-size:12px;'> 2009/3/19
The edges of the complete graph on n vertices are assigned independent exponentially distributed costs. A k-matching is a set of k edges of which no two have a vertex in common. We obtain explicit bou...

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