Explore graph theory and algorithmic problem-solving in this 45-minute EuroPython Conference talk. Delve into the power of graphs as mental and mathematical models for structuring complex problems. Examine graph-related algorithms through the lens of Python's design philosophy, emphasizing simplicity, beauty, and readability. Learn about different graph types, efficient representations using dictionaries and matrices, and common misconceptions. Tackle maze traversal problems using various techniques including backtracking, depth-first search, and breadth-first search. Discover Dijkstra's algorithm for finding shortest paths and explore dynamic programming concepts such as memoization. Apply these principles to solve real-world challenges and enhance your algorithmic thinking skills in a Pythonic way.