Accession Number : AD0630090

Title :   THE HEAWOOD MAP COLORING CONJECTURE,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Youngs,J. W. T.

Report Date : MAR 1966

Pagination or Media Count : 85

Abstract : The four color conjecture for a sphere is a famous unsolved problem, and the only information available today is that the chromatic number of a sphere is either four or five. On the other hand, it has been known for threequarters of a century that the chromatic number of a torus is seven. The memorandum is concerned with the chromatic number of orientable two-manifolds of positive genus. The problem is not completely solved, but considerable progress has been made in the past few years. This study reports on current results and, above all, on methods that have been employed. (Author)

Descriptors :   (*ALGEBRAIC GEOMETRY, *GRAPHICS), TOPOLOGY, COLORS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE