Threshold functions in random subgraph counting in the random-connection model

• Main Author: Chan, Luo Xi
• Other Authors: Nicolas Privault
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Mathematical Sciences; Random-connection model; Threshold; Subgraph containment
• Online Access: https://hdl.handle.net/10356/175628
• Institution: Nanyang Technological University

Random-connection model serves as a prominent graph model other than the Erdős-Rényi model and the random geometric graph. The majority of the properties in the random-connection model has yet to be found. This thesis follows on from previous research on the normal approximation of subgraph counts a...