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  2. Turán's theorem - Wikipedia

    en.wikipedia.org/wiki/Turán's_theorem

    In graph theory, Turán's theorem bounds the number of edges that can be included in an undirected graph that does not have a complete subgraph of a given size. It is one of the central results of extremal graph theory, an area studying the largest or smallest graphs with given properties, and is a special case of the forbidden subgraph problem on the maximum number of edges in a graph that ...

  3. Turn-by-turn navigation - Wikipedia

    en.wikipedia.org/wiki/Turn-by-turn_navigation

    Turn-by-turn systems typically use an electronic voice to inform the user whether to turn left or right, the street name, and the distance to the next turn. [3] Mathematically, turn by turn navigation is based on the shortest path problem within graph theory , which examines how to identify the path that best meets some criteria (shortest ...

  4. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Tree (set theory) (need not be a tree in the graph-theory sense, because there may not be a unique path between two vertices) Tree (descriptive set theory) Euler tour technique; Graph limits. Graphon; Graphs in logic. Conceptual graph; Entitative graph; Existential graph; Laws of Form; Logical graph; Mazes and labyrinths. Labyrinth; Maze

  5. Seven Bridges of Königsberg - Wikipedia

    en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg

    Map of Königsberg in Euler's time showing the actual layout of the seven bridges, highlighting the river Pregel and the bridges. The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1736 [1] laid the foundations of graph theory and prefigured the idea of topology.

  6. Category:Unsolved problems in graph theory - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    Pages in category "Unsolved problems in graph theory". The following 32 pages are in this category, out of 32 total. This list may not reflect recent changes .

  7. Strong orientation - Wikipedia

    en.wikipedia.org/wiki/Strong_orientation

    In graph theory, a strong orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that makes it into a strongly connected graph. Strong orientations have been applied to the design of one-way road networks. According to Robbins' theorem, the graphs with strong orientations are exactly the bridgeless ...

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