Securing Dual Perigee: Enhancing Strong Connectivity and Collusion Resilience in IoT Blockchain Networks <Abstract> The integration of blockchain and IoT faces critical scalability challenges due to network latency and security vulnerabilities. While Dual Perigee optimizes transaction and block propagation latency, it risks network partitions and collusion attacks. This paper proposes an enhanced framework that ensures strong connectivity and collusion resilience through two innovations: (A) fixing in/out-degrees per node to probabilistically guarantee robust topology and (B) embedding a Hamiltonian cycle for deterministic connectivity. Mathematical analysis and simulations demonstrate that our approach reduces the probability of weak connectivity from 47% to 0% in 100-node networks while preserving low-latency performance. The results highlight scalability improvements, enabling secure and decentralized IoT-blockchain systems even with minimal peer connections per node. |