TWO-DIMENSIONAL NETWORKS.

Abstract

A two-dimensional flow network is defined for a planar pinned truss with concentrated external loads acting under statically determinate equilibrium. Analogies between this two-dimensional network and the usual flow network are explored by defining two-demand notions of flows, paths, and cuts. It is shown that a flow has a path-flow decomposition, under certain restrictions, and that a duality between paths and cuts exists. Finally, the notion of a two-dimensional cut is related to the notion of a generalized cut in matroid theory, introduced by Fulkerson. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0704080

Entities

People

  • Anna Borreani

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Chemical Reaction Properties
  • Chemical Reactions
  • Decomposition
  • Flow
  • Flow Network
  • Two Dimensional
  • Two Dimensional Flow

Readers

  • Graph Algorithms and Convex Optimization.
  • Structural Dynamics.