PDF4PRO ⚡AMP

Modern search engine that looking for books and documents around the web

Example: tourism industry

Paths in graphs - People

Rstsearch readilyidenti esalltheverticesofa ndsexplicitpathstothesevertices, summarizedinitssearch tree( ).However, thesepathsmightnotbethemosteconomicalone spossi-ble. Inthe gure, vertexCis reachablefromSbytraversingjustoneedge, whiletheDFStreeshowsa pathof length3. Thischapteris aboutalgorithmsfor differentverticesofa graphareseparatedfromeach other:Thedistancebetweentwonodesis thelengthof geta concretefeelforthisnotion,considera physicalrealizationof a graphthathasa ballforeach vertexanda pieceof stringforeach edge. If youlifttheballforvertexshighenough,theot herballsthatgetpulledupalongwithit ndtheirdistancesfroms, (a)A simplegraphand(b)itsdepth- rstsearch tree.(a)EASBDC(b) physicalmodelof a , vertexBisatdistance2fromS, , thestringsalongeach ,edge(D;E) ,theliftingofspartitionsthegraphintolaye rs:sitself, thenodesatdistance1fromit,thenodesatdist ance2fromit, convenientway tocomputedistancesfromstotheothervertice sis toproceedlayerbylayer.

shows a path of length 3. This chapter is about algorithms for nding shortest paths in graphs. Path lengths allow us to talk quantitatively about the extent to which different vertices of a graph are separated from each other: The distance between two nodes is the length of the shortest path between them.

Tags:

  Path, Graph, Paths in graphs

Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Spam in document Broken preview Other abuse

Transcription of Paths in graphs - People

Related search queries