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- https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/13%3A_Graph_Theory/13.03%3A_Shortest_PathOur goal in this chapter is to develop methods to solve complex problems in a systematic way by following algorithms. An algorithm is a step-by-step procedure for solving a problem.
- https://math.libretexts.org/Courses/Northwest_Florida_State_College/MGF_1131%3A_Mathematics_in_Context/05%3A_Voting_and_Graph_Theory/5.06%3A_Shortest_PathOur goal in this chapter is to develop methods to solve complex problems in a systematic way by following algorithms. An algorithm is a step-by-step procedure for solving a problem.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/07%3A_Graph_Theory/7.03%3A_Hamiltonian_Circuits_and_the_Traveling_Salesman_ProblemThis section explores Hamilton paths and circuits, their significance in graph theory, and their application in optimizing routes like school buses in Boston, saving $5 million annually. It covers met...This section explores Hamilton paths and circuits, their significance in graph theory, and their application in optimizing routes like school buses in Boston, saving $5 million annually. It covers methods to identify these paths and circuits, including the brute force method and the Nearest Neighbor algorithm, which provides approximate solutions for problems like the Traveling Salesman Problem.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/04%3A_Graph_Theory/4.03%3A_Shortest_PathWe know the shortest distance from NB to Y is 104 and the distance from A to NB is 36, so the distance from A to Y through NB is 104+36 = 140. For example, Chicago is 18 hours from Denver, and Denver ...We know the shortest distance from NB to Y is 104 and the distance from A to NB is 36, so the distance from A to Y through NB is 104+36 = 140. For example, Chicago is 18 hours from Denver, and Denver is 19 hours from the end, the distance for Chicago to the end is 18+19 = 37 (Chicago to Denver to Bakersfield). For Chicago, the distance from Chicago to Dallas is 18 and from Dallas to the end is 25, so the distance from Chicago to the end through Dallas would be 18+25 = 43.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/00%3A_Front_Matter/05%3A_8.1%3A_OverviewThis page is a textbook on linear algebra that integrates algebra and geometry, focusing on solving matrix equations and eigenvalue problems. It includes practical applications in various fields like ...This page is a textbook on linear algebra that integrates algebra and geometry, focusing on solving matrix equations and eigenvalue problems. It includes practical applications in various fields like engineering and biology, and discusses measurement errors in systems of equations. The text is structured for Math 1553 at Georgia Tech, featuring key concepts, algorithms, and interactive demos for enhanced learning.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/06%3A_Graph_Theory/6.03%3A_Shortest_PathOur goal in this chapter is to develop methods to solve complex problems in a systematic way by following algorithms. An algorithm is a step-by-step procedure for solving a problem.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/07%3A_Graph_Theory/7.01%3A_Basic_Graphs_and_Graphs_StructureThis section introduces graph theory, defining graphs, vertices, and edges, and distinguishing simple graphs from multigraphs. It explores vertex classification, degrees, and various graph types like ...This section introduces graph theory, defining graphs, vertices, and edges, and distinguishing simple graphs from multigraphs. It explores vertex classification, degrees, and various graph types like complete and isomorphic graphs. Key concepts include walks, trails, paths, and graph connectivity, with applications in real-world scenarios such as Page Rank and fraud detection.
