On Sparse Graphs with Dense Long Paths.

Abstract

The following problem was raised by H.-J. Stoss in connection with certain questions related to the complexity of Boolean functions. An acyclic directed graph G is said to have property p (m,n) if for any set of X of m vertices of G , there is a directed path of length n in G which does not intersect X. Let f(m,n) denote the minimum number of edges a graph with property p(m,n) can have.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA017370

Entities

People

  • E. Szemeredi
  • P. Erdos
  • R. L. Graham

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Functions (Mathematics)
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Molecular and Cellular Biochemistry