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  2. Django (web framework) - Wikipedia

    en.wikipedia.org/wiki/Django_(web_framework)

    Django (/ ˈ dʒ æ ŋ ɡ oʊ / JANG-goh; sometimes stylized as django) [6] is a free and open-source, Python-based web framework that runs on a web server. It follows the model–template–views (MTV) architectural pattern .

  3. Ihara zeta function - Wikipedia

    en.wikipedia.org/wiki/Ihara_zeta_function

    The Ihara zeta function is defined as the analytic continuation of the infinite product = (),where L(p) is the length of .The product in the definition is taken over all prime closed geodesics of the graph = (,), where geodesics which differ by a cyclic rotation are considered equal.

  4. Crossing number (graph theory) - Wikipedia

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

    Turán's conjectured formula for the crossing numbers of complete bipartite graphs remains unproven, as does an analogous formula for the complete graphs. The crossing number inequality states that, for graphs where the number e of edges is sufficiently larger than the number n of vertices, the crossing number is at least proportional to e 3 /n 2.

  5. Component (graph theory) - Wikipedia

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

    A graph with three components. In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting ...

  6. Object–relational mapping - Wikipedia

    en.wikipedia.org/wiki/Object–relational_mapping

    Object–relational mapping (ORM, O/RM, and O/R mapping tool) in computer science is a programming technique for converting data between a relational database and the memory (usually the heap) of an object-oriented programming language.

  7. Graph embedding - Wikipedia

    en.wikipedia.org/wiki/Graph_embedding

    The problem of finding the graph genus is NP-hard (the problem of determining whether an -vertex graph has genus is NP-complete). [8] At the same time, the graph genus problem is fixed-parameter tractable, i.e., polynomial time algorithms are known to check whether a graph can be embedded into a surface of a given fixed genus as well as to find ...

  8. Planar graph - Wikipedia

    en.wikipedia.org/wiki/Planar_graph

    A finite graph is planar if and only if it does not contain a subgraph that is a subdivision of the complete graph K 5 or the complete bipartite graph K 3,3 (utility graph). A subdivision of a graph results from inserting vertices into edges (for example, changing an edge • —— • to • — • — • ) zero or more times.

  9. Connectivity (graph theory) - Wikipedia

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

    This graph becomes disconnected when the right-most node in the gray area on the left is removed This graph becomes disconnected when the dashed edge is removed.. In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more ...