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Unified framework for asymptotically uniform iterative construction of generalised random graphs with local constraints
Ivan Kryven, Rik Versendaal, Mike de Vries
We develop a unified framework for constructing combinatorial structures under local constraints. Our approach extends the configuration model for random graphs with a prescribed d…
A limit theorem for the total progeny distribution of multi-type branching processes
Jochem Hoogendijk, Ivan Kryven, Rik Versendaal
A multi-type branching process is defined as a random tree with labeled vertices, where each vertex produces offspring independently according to the same multivariate probability…
Sequential construction of spatial networks with arbitrary degree sequence and edge length distribution
Ivan Kryven, Rik Versendaal
Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some…
Giant component in the configuration model under geometric constraints
Ivan Kryven, Rik Versendaal
We study the emergence of a giant component in the configuration model subject to additional constraints on the edges. We partition a -dimensional torus into a cubic lattice wit…