The difference between Graph and Tree

When used as nouns, graph means 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, whereas tree means 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).

When used as verbs, graph means to draw a graph, whereas tree means to chase (an animal or person) up a tree.

check bellow for the other definitions of Graph and Tree

  1. Graph as a noun (applied mathematics, statistics):

    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.

    Examples:

    "hypo bar graph line graph pie graph"

  2. Graph as a noun (mathematics):

    A set of points constituting a graphical representation of a real function; 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.

  3. Graph as a noun (graph theory):

    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; a set of vertices (or nodes) together with a set of edges that connect (some of) the vertices.

    Examples:

    "hypo directed graph undirected graph tree"

  4. Graph as a noun (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.

    Examples:

    "synonyms: topological graph"

  5. Graph as a noun (category theory, of a morphism f):

    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.

  6. Graph as a noun (linguistics, typography):

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

    Examples:

    "synonyms: glyph"

  1. Graph as a verb (transitive):

    To draw a graph.

  2. Graph as a verb (transitive, mathematics):

    To draw a graph of a function.

  1. Tree as a noun (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).

    Examples:

    "w Hyperion (tree) Hyperion is the tallest living tree in the world."

    "Birds have a nest in a tree in the garden."

  2. Tree as a noun (botany):

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

    Examples:

    "the banana tree"

  3. Tree as a noun:

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

    Examples:

    "He had the choice of buying a [[scratching post]] or a cat tree."

  4. Tree as a noun:

    A device used to hold or stretch a shoe open.

    Examples:

    "He put a shoe tree in each of his shoes."

  5. Tree as a noun:

    The structural frame of a saddle.

  6. Tree as a noun (graph theory):

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

  7. Tree as a noun (computing theory):

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

  8. Tree as a noun (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.

    Examples:

    "We’ll show it as a tree list."

  9. Tree as a noun:

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

    Examples:

    "[[family tree]]; [[skill tree]]"

  10. Tree as a noun:

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

  11. Tree as a noun (slang):

    Marijuana.

  12. Tree as a noun (obsolete):

    A cross or gallows.

    Examples:

    "Tyburn tree'"

  13. Tree as a noun (obsolete):

    wood; timber

  14. Tree as a noun (chemistry):

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

  15. Tree as a noun (cartomancy):

    The fifth Lenormand card.

  1. Tree as a verb (transitive):

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

    Examples:

    "The dog treed the cat."

  2. Tree as a verb (transitive):

    To place in a tree.

    Examples:

    "Black bears can tree their cubs for protection, but grizzly bears cannot."

  3. Tree as a verb (transitive):

    To place upon a tree; to fit with a tree; to stretch upon a tree.

    Examples:

    "to tree a boot"

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