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What is the difference between tree and path?

tree | path |

In graph theory terms the difference between tree and path

is that tree is a connected graph with no cycles or, equivalently, a connected graph with n vertices and n-1 edges while path is a sequence of vertices from one vertex to another using the arcs (edges). A path does not visit the same vertex more than once (unless it is a closed path, where only the first and the last vertex are the same).

In transitive terms the difference between tree and path

is that tree is to place upon a tree; to fit with a tree; to stretch upon a tree while path is to make a path in, or on (something), or for (someone).

tree

English

{{ picdic , image=Birnbaum am Lerchenberg retouched.jpg , text=tree (1) , detail1= , detail3= }}

Noun

(en-noun) (plural "treen" is obsolete)
  • A large plant, not exactly defined, but typically over four meters in height, a single trunk which grows in girth with age and branches (which also grow in circumference with age).
    • is the tallest living tree in the world.
    Birds have a nest in a tree in the garden.
  • Any plant that is reminiscent of the above but not classified as a tree in the strict botanical sense: for example the banana "tree".
  • An object made from a tree trunk and having multiple hooks]] or storage [[platform, platforms.
    • He had the choice of buying a scratching post or a cat tree .
  • A device used to hold or stretch a shoe open.
    • He put a shoe tree in each of his shoes.
  • The structural frame of a saddle.
  • (graph theory) A connected graph with no cycles or, equivalently, a connected graph with n'' vertices and ''n -1 edges.
  • (computing theory) A recursive data structure in which each node has zero or more nodes as children.
  • (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.
    • We’ll show it as a tree list.
  • Any structure or construct having branches akin to (1).
  • The structure or wooden frame used in the construction of a saddle used in horse riding.
  • (informal) Marijuana.
  • (obsolete) A cross or gallows.
    • Tyburn tree
  • * Bible, Acts x. 39
    • [Jesus] whom they slew and hanged on a tree .
  • (obsolete) wood; timber
  • * Wyclif Bible (2 Tim. ii. 20)
    • In a great house ben not only vessels of gold and of silver but also of tree and of earth.
  • (chemistry) A mass of crystals, aggregated in arborescent forms, obtained by precipitation of a metal from solution.

    • Derived terms

    * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

    Proverbs

    * *

    Hypernyms

    * plant * (in graph theory) graph

    Hyponyms

    * oak, fir, pine * see also:

    Synonyms

    * sapling, seedling

    See also

    * * arboreal

    Verb

    (d)
  • To chase (an animal or person) up a tree.
    • The dog treed the cat.
  • To place upon a tree; to fit with a tree; to stretch upon a tree.
    • to tree a boot

    Statistics

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    Anagrams

    * * 1000 English basic words ----

    path

    English

    (wikipedia path)

    Noun

    (en noun)
  • A trail for the use of, or worn by, pedestrians.
  • * (John Dryden)
    • The dewy paths of meadows we will tread.
  • * , chapter=1
    • , title= Mr. Pratt's Patients, chapter=1 , passage=I stumbled along through the young pines and huckleberry bushes. Pretty soon I struck into a sort of path that, I cal'lated, might lead to the road I was hunting for. It twisted and turned, and, the first thing I knew, made a sudden bend around a bunch of bayberry scrub and opened out into a big clear space like a lawn.}}
  • A course taken.
  • * 1900 , , , Chapter I,
    • Just before Warwick reached Liberty Point, a young woman came down Front Street from the direction of the market-house. When their paths converged, Warwick kept on down Front Street behind her, it having been already his intention to walk in this direction.
  • (paganism) A Pagan tradition, for example witchcraft, Wicca, druidism, Heathenry.
  • A metaphorical course.
  • A method or direction of proceeding.
  • * Bible, Psalms xxv. 10
    • All the paths of the Lord are mercy and truth.
  • * Gray
    • The paths of glory lead but to the grave.
  • (computing) A human-readable specification for a location within a hierarchical or tree-like structure, such as a file system or as part of a URL
  • (graph theory) A sequence of vertices]] from one vertex to another using the arcs ([[edge, edges). A path does not visit the same vertex more than once (unless it is a closed path , where only the first and the last vertex are the same).
  • (topology) A continuous map f from the unit interval I = [0,1] to a topological space X.

    • Synonyms

    * (1): track, trail; see also

    Derived terms

    * bridle path * cross paths * cycle path * footpath * path of least resistance * pathway

    Verb

    (en verb)
  • To make a path in, or on (something), or for (someone).
  • * Drayton
    • pathing young Henry's unadvised ways

    References

    * Oxford English Dictionary [draft revision; June 2005]

    Anagrams

    * * 1000 English basic words