Accession Number : AD0478542

Title :   INTRODUCTION TO THE THEORY OF MATROIDS,

Corporate Author : RAND CORP SANTA MONICA CA

Personal Author(s) : Tutte, W. T.

Report Date : FEB 1966

Pagination or Media Count : 98

Abstract : The basic concepts and methods of matroid theory are presented. The Memorandum defines a matroid axiomatically and introduces the matroids associated with the structures of graphs and chain-groups. It discusses the subgraphs and contractions of a graph, exhibits corresponding simplifications of chain-groups and matroids, and studies the rank of a matroid. It also examines a property of matroids called connection and shows that it corresponds to the property of nonseparability for graphs. It further treats the detailed structure of a matroid (that is, it studies the relation between a given circuit and the rest of the matroid), and concludes by considering the regular matroids and their associated chain-groups. The regular matroids mark an interesting half-way stage between the matroids corresponding to graphs on the one hand, and the binary matroids, corresponding to chain-groups over GF(2), on the other. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), THEORY), LINEAR PROGRAMMING, GRAPHICS, THEOREMS, SEQUENCES(MATHEMATICS), SET THEORY.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE