monkeyrev090413.pdf (241.95 kB)
A notion of graph likelihood and an infinite monkey theorem
Version 3 2013-04-12, 09:34
Version 2 2013-04-12, 09:34
Version 1 2013-04-11, 18:44
journal contribution
posted on 2013-04-12, 09:34 authored by Simone SeveriniSimone Severini, Christopher Banerji, Toufik MansourWe play with a graph-theoretic analogue of the folklore infinite monkey theorem. We define a
notion of graph likelihood as the probability that a given graph is constructed by a monkey in a
number of time steps equal to the number of vertices. We present an algorithm to compute this
graph invariant and closed formulas for some infinite classes. We have to leave the computational
complexity of the likelihood as an open problem.