I’m working through a data-structures homework set that focuses entirely on graphs, and I’d like some timely, hands-on help. The assignment asks me to implement and analyse common graph operations—think building an adjacency list, running BFS/DFS, and applying simple shortest-path logic—yet I’m still wrapping my head around how these pieces fit together. Here’s what I need from you: guide me through each problem, supply well-commented code (Python, Java, or C++—whichever you prefer), and attach a short write-up that explains the reasoning in plain language so I can confidently reproduce the work on my own. Turnaround is important; I’d like to review your material, ask follow-up questions, and submit my homework on time. Deliverables • Step-by-step solutions to all graph questions • Clean, compilable source code with comments that map directly to the explanation • A concise summary document clarifying key concepts and decisions I’m comfortable with arrays and lists already; this job is strictly about graphs. If you can demystify adjacency structures and traversal algorithms quickly, let’s get started.