• DocumentCode
    937935
  • Title

    A note on the maximum flow through a network

  • Author

    Elias, P. ; Feinstein, A. ; Shannon, C.E.

  • Volume
    2
  • Issue
    4
  • fYear
    1956
  • fDate
    12/1/1956 12:00:00 AM
  • Firstpage
    117
  • Lastpage
    119
  • Abstract
    This note discusses the problem of maximizing the rate of flow from one terminal to another, through a network which consists of a number of branches, each of which has a limited capacity. The main result is a theorem: The maximum possible flow from left to right through a network is equal to the minimum value among all simple cut-sets. This theorem is applied to solve a more general problem, in which a number of input nodes and a number of output nodes are used.
  • Keywords
    Graph theory; Networks; Bridges; Cities and towns; Communication channels; Delay; Telephony;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-1000
  • Type

    jour

  • DOI
    10.1109/TIT.1956.1056816
  • Filename
    1056816