Results of persistent homology analysis (IMAGE) National Institutes of Natural Sciences Caption Left: correlation between predicted values by the persistent homology analysis and test values which were evaluated by simulations. Right: data points (red and blue regions) on the persistent diagram strongly correlated to the values of thermal conductivity. A five-vertex cycle shown on the diagram is the minimum component of the medium-range order, and a four-vertex cycle is the component that breaks the medium-range order and lowers the thermal conductivity. Credit NINS/IMS Usage Restrictions None License Original content Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.