August 24, 2025Open Access

Molecular MetaGraph and Molecular Iterated MetaGraph in Chemistry

Key Points

The Molecular MetaGraph expands the concept of traditional molecular graphs into a higher-level structure.
It introduces a recursive approach with the Molecular Iterated MetaGraph, enhancing complexity in modeling relationships.
Graph theory serves as the foundation for these structures, utilizing vertices and edges to represent connections.
These advancements may offer novel pathways for understanding chemical relationships and interactions.

Abstract

Graph theory investigates mathematical structures consisting of vertices and edges in order to model relationships and connectivity 1, 2. A MetaGraph is a higher-level graph whose vertices are themselves graphs, with edges representing specified relations among those graphs. An Iterated MetaGraph extends this idea recursively: its vertices are MetaGraphs, thereby forming a hierarchy of graph-of-graphs structures across multiple levels. In this paper, we study new extensions called the Molecular MetaGraph and the Molecular Iterated MetaGraph, which generalize the notion of molecular graphs using the frameworks of MetaGraphs and Iterated MetaGraphs.

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Cite This Study

Toshio Fujita (Sun,) studied this question.

synapsesocial.com/papers/68af5bc1ad7bf08b1eadfc2e https://doi.org/https://doi.org/10.26434/chemrxiv-2025-7cskx

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