Degree- and time-constrained broadcast networks

Michael J. Dinneen, Geoffrey Pritchard, Mark C. Wilson. Degree- and time-constrained broadcast networks. Networks, 39(3):121-129, 2002. [doi]


We consider the problem of constructing networks with as many nodes as possible, subject to upper bounds on the degree and broadcast time. This paper includes the results of an extensive empirical study of broadcasting in small regular graphs using a stochastic search algorithm to approximate the broadcast time. Significant improvements on known results are obtained for cubic broadcast networks. Some tests based on easily computable graph-theoretic properties are presented.