Centre for the Mathematics of Symmetry and Computation

2011 seminars

Subgraphs of Random Graphs with Specified Degrees

  • 11.00am, 14 January 2011, Maths Lecture Room 2
  • Brendan McKay (Australian National University)
If a graph is chosen uniformly at random from all the graphs with a given degree sequence, what can be said about its subgraphs? The same can be asked of bipartite graphs, equivalently 0-1 matrices. These questions have been studied by many people. In this paper we provide a partial survey of the field, with emphasis on two general techniques: the method of switchings and the multidimensional saddle-point method.

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