2020/08/27 by Nematollah Iri, Iri, Nematollah
Computer Science · Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.2008.11876
arxiv created 2020/09/02 · arxiv updated 2020/09/04
We consider universal source coding of unlabeled graphs which are commonly referred to as graphical structures. We adopt an Erdös-Rényi model to generate the random graphical structures. We propose a variant of the previously introduced Type Size code, where type classes are characterized based on the number of edges of the graphical structures. The proposed scheme sorts the graphical structures based on the size of their type classes and assigns binary sequences to them in this order. The ε-coding rate of the Type Size code (up to the third-order term) for compressing graphical structures is derived.