TY - JOUR AU - Vadon, Viktória AU - Komjáthy, Júlia AU - van der Hofstad, Remco PY - 2019 DA - 2019/06/27 TI - A new model for overlapping communities with arbitrary internal structure JO - Applied Network Science SP - 42 VL - 4 IS - 1 AB - We introduce the random intersection graph with communities, a new model for networks with overlapping communities with arbitrary internal structure. We construct the model from a list of arbitrary community graphs that are the building blocks, and a separate list of individuals, each with a prescribed number of community membership tokens. Randomness is introduced by matching these tokens uniformly at random to vertices of the community graphs. We then identify the community members assigned to the same individual, thus overlaps arise due to individuals having several tokens. This gives a highly flexible model for networks with community structure. SN - 2364-8228 UR - https://doi.org/10.1007/s41109-019-0149-9 DO - 10.1007/s41109-019-0149-9 ID - Vadon2019 ER -