Work

On topologically frustrated polymers and where to find them

Year: 2026

Type: article

Abstract: We prove the existence of graph-theoretic topological frustration in quasi-one-dimensional periodic bipartite lattices that are based on the two-dimensional honeycomb lattice. Then, we provide insights into how to construct such structures on the basis of the Tutte–Berge formula, Gallai–Edmonds theorem and quasi-symmetries. We notice an anomalous nullity in the graphs of such structures and suggest a possible explanation.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2025.0775

Author: V. A. Saroka

Institutions: University of Rome Tor Vergata, Belarusian State University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: HORIZON EUROPE Framework Programme, HORIZON EUROPE Marie Sklodowska-Curie Actions

Awards: G1731865095, G4597462190, Terahertz excitons in monolithically integrated carbon nanostructures