activity
20062023
most citedOn the length of a random minimum spanning tree

21 citations · 67 across the 26 of their papers we have counts for

collaborators

38 papers

math.CO2023

Rainbow Greedy Matching Algorithms

Patrick Bennett, Colin Cooper, Alan Frieze

We consider the problem of finding a large rainbow matching in a random graph with randomly colored edges. In particular we analyze the performance of two greedy algorithms for thi…

math.PR2023

Discrete Incremental Voting

Colin Cooper, Tomasz Radzik, Takeharu Shiraga

We consider a type of pull voting suitable for discrete numeric opinions which can be compared on a linear scale, for example, 1 ('disagree strongly'), 2 ('disagree'), 5…

cs.DM2023

A simple model of influence

Colin Cooper, Nan Kang, Tomasz Radzik

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates do…

math.PR2023

Triangle processes on graphs with given degree sequence

Colin Cooper, Martin Dyer, Catherine Greenhill

The switch chain is a well-studied Markov chain which generates random graphs with a given degree sequence and has uniform stationary distribution. Motivated by the high number of…

math.PR2022

Distributed Averaging in Opinion Dynamics

Petra Berenbrink, Colin Cooper, Cristina Gava +4

We consider two simple asynchronous opinion dynamics on arbitrary graphs where every node has an initial value . In the first process, the NodeModel, at each time step…

math.CO2021

Rank of the vertex-edge incidence matrix of -out hypergraphs

Colin Cooper, Alan Frieze

We consider a space of sparse Boolean matrices of size , which have finite co-rank over with high probability. In particular, the probability such a matrix has…