2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2011★ 2 cited
On the maximum size of minimal definitive quartet sets
Chris Dowden
In this paper, we investigate a problem concerning quartets, which are a particular type of tree on four leaves. Loosely speaking, a set of quartets is said to be `definitive' if i…
math.CO2011★ 1 cited
Random planar graphs with bounds on the maximum and minimum degrees
Chris Dowden
Let P_{n,d,D} denote the graph taken uniformly at random from the set of all labelled planar graphs on {1,2,...,n} with minimum degree at least d(n) and maximum degree at most D(n)…
math.CO2011
The evolution of uniform random planar graphs
Chris Dowden
Let P_{n,m} denote the graph taken uniformly at random from the set of all planar graphs on {1,2,..., n} with exactly m(n) edges. We use counting arguments to investigate the proba…