The scaling of the minimum sum of edge lengths in uniformly random trees

  title={The scaling of the minimum sum of edge lengths in uniformly random trees},
  author={J. L. Esteban and Ramon Ferrer-i-Cancho and Carlos G{\'o}mez-Rodr{\'i}guez},
  • J. L. Esteban, Ramon Ferrer-i-Cancho, Carlos Gómez-Rodríguez
  • Published 2016
  • Mathematics, Computer Science, Physics
  • ArXiv
  • The minimum linear arrangement problem on a network consists of finding the minimum sum of edge lengths that can be achieved when the vertices are arranged linearly. Although there are algorithms to solve this problem on trees in polynomial time, they have remained theoretical and have not been implemented in practical contexts to our knowledge. Here we use one of those algorithms to investigate the growth of this sum as a function of the size of the tree in uniformly random trees. We show that… CONTINUE READING
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