The Assignable Subgraph Polytope of a Directed Graph.

Abstract

Given a directed graph, its assignable subgraph polytope is the convex hull of incidence vectors of subgraphs that have an assignment. Based on earlier results of Balas and Pulleyblank, given a linear characterization of the assignable subgraph polytope of an arbitrary digraph. As a byproduct, the author also characterizes the s-t path decomposable subgraph polytope of an acyclic digraph. Keywords: Assignment; Cycle decomposition; Path decomposition; Matching.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA180860

Entities

People

  • Egon Balas

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Decomposition

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.