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  2. Connected space - Wikipedia

    en.wikipedia.org/wiki/Connected_space

    A topological space is said to be disconnected if it is the union of two disjoint non-empty open sets. Otherwise, X {\displaystyle X} is said to be connected . A subset of a topological space is said to be connected if it is connected under its subspace topology.

  3. Neural network (machine learning) - Wikipedia

    en.wikipedia.org/wiki/Neural_network_(machine...

    v. t. e. In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a model inspired by the structure and function of biological neural networks in animal brains. [ 1 ][ 2 ] An ANN consists of connected units or nodes called artificial neurons, which loosely model the neurons in the brain.

  4. Spanning tree - Wikipedia

    en.wikipedia.org/wiki/Spanning_tree

    Almost all graph theory books and articles define a spanning forest as a forest that spans all of the vertices, meaning only that each vertex of the graph is a vertex in the forest. A connected graph may have a disconnected spanning forest, such as the forest with no edges, in which each vertex forms a single-vertex tree. [8] [9]

  5. Tree (graph theory) - Wikipedia

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

    v − 1. Chromatic number. 2 if v > 1. Table of graphs and parameters. In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph. [1] A forest is an undirected graph in which any two vertices are connected by at most one path, or equivalently ...

  6. Connectedness - Wikipedia

    en.wikipedia.org/wiki/Connectedness

    Connectedness. In mathematics, connectedness[1] is used to refer to various properties meaning, in some sense, "all one piece". When a mathematical object has such a property, we say it is connected; otherwise it is disconnected. When a disconnected object can be split naturally into connected pieces, each piece is usually called a component ...

  7. Air gap (networking) - Wikipedia

    en.wikipedia.org/wiki/Air_gap_(networking)

    An air gapped network (right) with no connection to a nearby internet-connected network (left) An air gap, air wall, air gapping [1] or disconnected network is a network security measure employed on one or more computers to ensure that a secure computer network is physically isolated from unsecured networks, such as the public Internet or an unsecured local area network. [2]

  8. Overlay network - Wikipedia

    en.wikipedia.org/wiki/Overlay_network

    Overlay network. An overlay network is a computer network that is layered on top of another (logical as opposed to physical) network. The concept of overlay networking is distinct from the traditional model of OSI layered networks, and almost always assumes that the underlay network is an IP network of some kind. [1]

  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 ...