Accession Number : AD0757445

Title :   R-Separating Sets.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Gomory,R. E. ; Hu,T. C. ; Yohe,J. M.

Report Date : 15 NOV 1972

Pagination or Media Count : 29

Abstract : Two points a and b in a set S are said to be r-connected if there is a finite sequence of points a = p(0), p(1),..., p(n) = b with p(i) belongs to S' and the distance rho(p(i), P(i+1)) plus or minus r, 1 = 0,..., n-1. In the paper the authors deal with palnar r-separating sets C whose removal from the plane (R sub 2) r-separates two points a and b in (R sub 2) - C. More precisely, the report discusses the structure of irreducible r-separating subset. (Author)

Descriptors :   (*TOPOLOGY, SET THEORY), CURVE FITTING, GRAPHICS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE