On topologically frustrated polymers and where to find them
Abstract
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.
Fields of Study & Subjects
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Publication details
- Journal / source
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Publisher
- The Royal Society
- Volume
- 482
- Issue
- 2339
- Publication date
- 1 June 2026
- Language
- EN