Graph vs. Tree

Graphnoun

A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.

Graphnoun

(mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1, x_2, \ldots, x_m, y)\in\R^{m+1}, where y=f(x_1, x_2, \ldots, x_m) for a given function f: \R^m\rightarrow\R.

Graphnoun

(graph theory) (formally) An ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V; (less formally) a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.

Graphnoun

(topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.

Graphnoun

A morphism \Gamma_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to \Gamma_f equals the identity of the domain, and the second projection applied to \Gamma_f is equal to f.

Graphnoun

A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.

Graphverb

(transitive) To draw a graph.

Graphverb

To draw a graph of a function.

Graphnoun

A curve or surface, the locus of a point whose coördinates are the variables in the equation of the locus; as, a graph of the exponential function.

Graphnoun

A diagram symbolizing a system of interrelations of variable quantities using points represented by spots, or by lines to represent the relations of continuous variables. More than one set of interrelations may be presented on one graph, in which case the spots or lines are typically distinguishable from each other, as by color, shape, thickness, continuity, etc. A diagram in which relationships between variables are represented by other visual means is sometimes called a graph, as in a bar graph, but may also be called a chart.

Graphnoun

a drawing illustrating the relations between certain quantities plotted with reference to a set of axes

Graphverb

represent by means of a graph;

Graphverb

plot upon a graph

Treenoun

(botany) A large plant, not exactly defined, but typically over four meters in height, with a single trunk that grows in girth with age and branches (that also grow in circumference with age).

Treenoun

(botany) Any plant that is reminiscent of the above but not classified as a tree in the strict botanical sense.

Treenoun

An object made from a tree trunk and having multiple hooks or storage platforms.

Treenoun

A device used to hold or stretch a shoe open.

Treenoun

The structural frame of a saddle.

Treenoun

(graph theory) A connected graph with no cycles or, equivalently, a connected graph with n vertices and n-1 edges.

Treenoun

(computing theory) A recursive data structure in which each node has zero or more nodes as children.

Treenoun

(graphical user interface) A display or listing of entries or elements such that there are primary and secondary entries shown, usually linked by drawn lines or by indenting to the right.

Treenoun

Any structure or construct having branches akin to (1).

Treenoun

The structure or wooden frame used in the construction of a saddle used in horse riding.

Treenoun

(slang) Marijuana.

Treenoun

(obsolete) A cross or gallows.

Treenoun

(obsolete) wood; timber

Treenoun

(chemistry) A mass of crystals, aggregated in arborescent forms, obtained by precipitation of a metal from solution.

Treenoun

(cartomancy) The fifth Lenormand card.

Treeverb

(transitive) To chase (an animal or person) up a tree.

Treeverb

(transitive) To place in a tree.

Treeverb

(transitive) To place upon a tree; to fit with a tree; to stretch upon a tree.

Treenoun

Any perennial woody plant of considerable size (usually over twenty feet high) and growing with a single trunk.

Treenoun

Something constructed in the form of, or considered as resembling, a tree, consisting of a stem, or stock, and branches; as, a genealogical tree.

Treenoun

A piece of timber, or something commonly made of timber; - used in composition, as in axletree, boottree, chesstree, crosstree, whiffletree, and the like.

Treenoun

A cross or gallows; as Tyburn tree.

Treenoun

Wood; timber.

Treenoun

A mass of crystals, aggregated in arborescent forms, obtained by precipitation of a metal from solution. See Lead tree, under Lead.

Treeverb

To drive to a tree; to cause to ascend a tree; as, a dog trees a squirrel.

Treeverb

To place upon a tree; to fit with a tree; to stretch upon a tree; as, to tree a boot. See Tree, n., 3.

Treenoun

a tall perennial woody plant having a main trunk and branches forming a distinct elevated crown; includes both gymnosperms and angiosperms

Treenoun

a figure that branches from a single root;

Treenoun

English actor and theatrical producer noted for his lavish productions of Shakespeare (1853-1917)

Treeverb

chase a bear up a tree with dogs and kill it

Treenoun

a woody perennial plant, typically having a single stem or trunk growing to a considerable height and bearing lateral branches at some distance from the ground.

Treenoun

(in general use) any bush, shrub, or herbaceous plant with a tall erect stem, e.g. a banana plant.

Treenoun

a wooden structure or part of a structure.

Treenoun

the cross on which Christ was crucified.

Treenoun

a gibbet.

Treenoun

a thing that has a branching structure resembling that of a tree.

Treenoun

a diagram with a structure of branching connecting lines, representing different processes and relationships.

Treeverb

force (a hunted animal) to take refuge in a tree.

Treeverb

force (someone) into a difficult situation.

Treeverb

(of an area) planted with trees

Tree

In botany, a tree is a perennial plant with an elongated stem, or trunk, supporting branches and leaves in most species. In some usages, the definition of a tree may be narrower, including only wood plants with secondary growth, plants that are usable as lumber or plants above a specified height.