Accession Number:

AD0702898

Title:

COMPLEMENTARY SPANNING TREES

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1969-03-01

Pagination or Media Count:

12.0

Abstract:

Given a network G whose arcs partition into non-overlapping clubs sets R sub i, D. Ray Fulkerson has considered the problem of constructing a spanning tree such that no two of its arcs belong to represent the same club and has stated necessary and sufficient conditions for such trees to exist. When each club R sub i consists of exactly two arcs, we shall refer to each of the arc pair as the complement of the other, and the representative tree as a complementary tree. Our objective is to prove the following theorem If there exists one complementary tree, there exists at least two.

Subject Categories:

  • Theoretical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE