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  2. 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

  3. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines ). A distinction is made between undirected graphs, where edges link ...

  4. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    Shortest path problem. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest ...

  5. 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 ...

  6. Tournament (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Tournament_(graph_theory)

    Tournament (graph theory) In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently, a tournament is an orientation of an undirected complete graph; however, as directed graphs, tournaments are not complete: complete directed graphs have two edges, in ...

  7. Secretary problem - Wikipedia

    en.wikipedia.org/wiki/Secretary_problem

    Secretary problem. Graphs of probabilities of getting the best candidate (red circles) from n applications, and k / n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory ...

  8. Cartesian product of graphs - Wikipedia

    en.wikipedia.org/wiki/Cartesian_product_of_graphs

    The Cartesian product of two edges is a cycle on four vertices: K 2 K 2 = C 4. The Cartesian product of K 2 and a path graph is a ladder graph. The Cartesian product of two path graphs is a grid graph. ( K 2 ) n = Q n . {\displaystyle (K_ {2})^ {\square n}=Q_ {n}.} Thus, the Cartesian product of two hypercube graphs is another hypercube: Q i Q ...

  9. Adjacency list - Wikipedia

    en.wikipedia.org/wiki/Adjacency_list

    Adjacency list. This undirected cyclic graph can be described by the three unordered lists {b, c }, {a, c }, {a, b }. In graph theory and computer science, an adjacency list is a collection of unordered lists used to represent a finite graph. Each unordered list within an adjacency list describes the set of neighbors of a particular vertex in ...

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