• DocumentCode
    1193569
  • Title

    A note on the shortest path through a given link in a network

  • Author

    Lau, H.T.

  • Volume
    33
  • Issue
    1
  • fYear
    1986
  • fDate
    1/1/1986 12:00:00 AM
  • Firstpage
    109
  • Lastpage
    110
  • Abstract
    A network, or a graph, can be described by a set of nodes or vertices and a set of links or edges. Let uv be two vertices and xy be a link in a given undirected network. We show that a shortest path between u and v through xy can be found by transforming the problem into a minimum cost network flow problem. It may be noted that when the network is directed, the problem is NP -complete.
  • Keywords
    Graph theory; Circuits and systems; Cutoff frequency; Digital filters; Finite impulse response filter; Frequency locked loops; Low pass filters; Prototypes; Signal processing; Speech processing; Transforms;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1986.1085822
  • Filename
    1085822