This chapter discusses the concepts of quantum graphs. Quantum graphs extend graph theory by incorporating quantum mechanical effects such as superposition and entanglement, representing quantum phenomena. We describe the concept of dynamic vertices, where each vertex has a time-dependent weight, and entangled edges, which represent correlations between vertex weights. Additionally, we analyse various dweight functions and their variations, highlighting how different choices can impact the properties of quantum graphs. Several properties of strength of connectedness in quantum graphs have been proved.