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A tree topology, or star-bus topology, is a hybrid network topology in which star networks are interconnected via bus networks. [ 1 ] [ 2 ] Tree networks are hierarchical, and each node can have an arbitrary number of child nodes.
As special cases, the order-zero graph (a forest consisting of zero trees), a single tree, and an edgeless graph, are examples of forests. Since for every tree V − E = 1, we can easily count the number of trees that are within a forest by subtracting the difference between total vertices and total edges. V − E = number of trees in a forest.
For example, a tree network (or star-bus network) is a hybrid topology in which star networks are interconnected via bus networks. [ 20 ] [ 21 ] However, a tree network connected to another tree network is still topologically a tree network, not a distinct network type.
A fat tree A 2-level fat tree with 8-port switches. The fat tree network is a universal network for provably efficient communication. [1] It was invented by Charles E. Leiserson of the MIT in 1985. [1] k-ary n-trees, the type of fat-trees commonly used in most high-performance networks, were initially formalized in 1997. [2]
Representations might also be more complicated, for example using indexes or ancestor lists for performance. Trees as used in computing are similar to but can be different from mathematical constructs of trees in graph theory, trees in set theory, and trees in descriptive set theory.
In this view, embeddings of graphs into a surface or as subdivisions of other graphs are both instances of topological embedding, homeomorphism of graphs is just the specialization of topological homeomorphism, the notion of a connected graph coincides with topological connectedness, and a connected graph is a tree if and only if its ...
The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property.
Tree topology, a topology based on a hierarchy of nodes in a computer network; Tree diagram (physics), an acyclic Feynman diagram, pictorial representations of the mathematical expressions governing the behavior of subatomic particles; Outliners, a common software application that is used to generate tree diagrams; Network diagram; Tree ...