We present a model for self-assembly of graphs based on multisets and the formalism of membrane systems. The model deals with aggregates of cells which are defined as undirected graphs where a multiset over a fixed alphabet is assigned to each vertex. The evolution of these aggregates is determined by an application of multiset-based aggregation rules to enlarge the current structure as well as an application of membrane-systems-based communication rules to enable cells to exchange objects alongside the edges of the graph. We compare the generative power of self-assembly membrane systems with and without communication rules, and we characterise properties of the sets of graphs generated by these systems. We also introduce two notions of stability for self-assembly processes that capture the idea of having produced a stable structure. Finally, we investigate self-assembly membrane systems where the alphabet is a singleton.
W artykule omówiono metody probabilistycznej generacji struktur grafowych, tzw. IE-grafów, stanowiących formalizm dla opisu szerokiego spektrum problemów, w szczególności w dziedzinie rozpoznawania obrazów. W pracy przedstawione zostały metody opisu (za pomocą tzw. deskryptorów) oraz własności otrzymanych IE-grafów. Prezentowane metody generacji pozwalają na tworzenie struktur o zadanych właściwościach.
EN
In the article the probabilistic methods of graph structures generation are discussed. That class of graphs known also as IE graphs allows to formalize a variety of problems including pattern recognition area. In the paper we also present the methods of description of the obtained IE graphs (by using so called descriptors) and their properties. Generation methods being presented here allow to create the graphs having the desired properties.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.