This article presents a method for deterministically generating photonic graph states by fusing two individually addressable atoms in an optical cavity. The fusion process utilizes a cavity-assisted gate to combine graph states generated from each atom, resulting in larger, more complex entangled states. The study demonstrates the successful generation of ring and tree graph states with up to eight qubits, which are valuable resources for quantum information processing and quantum networking. The experiment employs a high-finesse optical cavity to trap rubidium atoms, enabling strong light-matter coupling and efficient photon generation. The fusion process involves two-photon interference in the cavity mode, allowing for the merging of graph states while preserving their entanglement properties. The generated states are characterized using stabiliser operators and entanglement witnesses, showing high fidelity and demonstrating genuine multipartite entanglement. The results highlight the potential of this approach for scalable quantum architectures, including quantum repeaters and distributed quantum networks. The work represents a significant step towards realizing fault-tolerant quantum computing and communication protocols using photonic graph states.This article presents a method for deterministically generating photonic graph states by fusing two individually addressable atoms in an optical cavity. The fusion process utilizes a cavity-assisted gate to combine graph states generated from each atom, resulting in larger, more complex entangled states. The study demonstrates the successful generation of ring and tree graph states with up to eight qubits, which are valuable resources for quantum information processing and quantum networking. The experiment employs a high-finesse optical cavity to trap rubidium atoms, enabling strong light-matter coupling and efficient photon generation. The fusion process involves two-photon interference in the cavity mode, allowing for the merging of graph states while preserving their entanglement properties. The generated states are characterized using stabiliser operators and entanglement witnesses, showing high fidelity and demonstrating genuine multipartite entanglement. The results highlight the potential of this approach for scalable quantum architectures, including quantum repeaters and distributed quantum networks. The work represents a significant step towards realizing fault-tolerant quantum computing and communication protocols using photonic graph states.