This paper presents a method for deterministically generating photonic graph states by fusing entangled states from two individually addressable atoms in an optical cavity. The fusion process involves a cavity-assisted gate between the two atoms, enabling the creation of complex multi-qubit graph states such as ring and tree states. These states are essential for quantum information processing and quantum networking. The experiment demonstrates the generation of up to eight qubits in ring and tree graph states, with high fidelity and scalability potential. The technique uses a high-finesse optical cavity to trap rubidium atoms, which emit entangled photons through a vacuum-stimulated Raman adiabatic passage (vSTIRAP) process. The fusion of graph states is achieved by entangling the atoms and using cavity-assisted interference to merge their states. The results show high fidelity in generating the desired graph states, with the ability to distinguish between different quantum states and verify entanglement through measurement. The method is scalable and could be used to create quantum repeaters and other quantum communication devices. The study highlights the importance of photonic graph states in quantum computing and communication, and demonstrates a key step towards scalable quantum technologies.This paper presents a method for deterministically generating photonic graph states by fusing entangled states from two individually addressable atoms in an optical cavity. The fusion process involves a cavity-assisted gate between the two atoms, enabling the creation of complex multi-qubit graph states such as ring and tree states. These states are essential for quantum information processing and quantum networking. The experiment demonstrates the generation of up to eight qubits in ring and tree graph states, with high fidelity and scalability potential. The technique uses a high-finesse optical cavity to trap rubidium atoms, which emit entangled photons through a vacuum-stimulated Raman adiabatic passage (vSTIRAP) process. The fusion of graph states is achieved by entangling the atoms and using cavity-assisted interference to merge their states. The results show high fidelity in generating the desired graph states, with the ability to distinguish between different quantum states and verify entanglement through measurement. The method is scalable and could be used to create quantum repeaters and other quantum communication devices. The study highlights the importance of photonic graph states in quantum computing and communication, and demonstrates a key step towards scalable quantum technologies.