Connectivity Graph (IMAGE) University of California - Davis Caption In the classic model of random networks, after a certain number of connections are made, overall connectivity begins to rise in a steep curve (ER). A new model that delays this transition results in overall connectivity occurring almost instantaneously at a critical moment, shown in this graph by the upward turn of the flat red line (PR). Credit Raissa D'Souza/UC Davis Usage Restrictions One-time usage rights to accompany story related to the University of California, Davis, news release. Must contain image credit. License Licensed 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.