Bài giảng Lý thuyết đồ thị: Chương 8 - PGS.TS. Hoàng Chí Thành

Chapter 8 of the textbook 'Graph Theory: Lecture Notes' by PGS.TS. Hoàng Chí Thành presents knowledge on the shortest path problem, including minimum weight paths, Dijkstra's algorithm, unweighted graphs, shortest paths between pairs of vertices, and graph centers. This chapter introduces the breadth-first search algorithm to solve the shortest path problem, discusses finding and recovering shortest paths on weighted graphs, and concludes with a practical example involving peanuts, cashews, and almonds that need to be transported across a river using an undirected graph.

The intended audience for this document includes undergraduate and graduate students studying computer science, as well as researchers and professionals working in fields related to network analysis, logistics, transportation, and supply chain management.

Chapter 8 of the textbook 'Graph Theory: Lecture Notes' by PGS.TS. Hoàng Chí Thành offers insights into the shortest path problem, including minimum weight paths, Dijkstra's algorithm, unweighted graphs, shortest paths between pairs of vertices, and graph centers. The chapter begins by introducing the concept of breadth-first search (BFS) as a method to find shortest paths. Subsequently, it delves into the topic of discovering and recovering shortest paths on weighted graphs. The chapter then discusses various applications of these concepts in real-world scenarios such as transportation networks, supply chains, and communication systems. Finally, the chapter presents a case study involving transporting peanuts, cashews, and almonds across a river using an undirected graph to model the problem. This case study demonstrates the practical application of the theoretical concepts discussed earlier.