This report describes the results of a comprehensive technical survey of all published Soviet literature in graph theory and its applications--more than 230 technical articles appearing up to June 1968. The purpose of this report is to draw attention to this collection of results, which are not well known in the West, and to summarize the significant contributions. Particular emphasis is placed upon those results that fill gaps o augment the body of knowledge about graph theory as familiar to

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... n-Soviet specialists. Although Soviet activity in graph theory and its applications lags behind the corresponding Western work in both quality and quantity, the level of activity is increasing rapidly and there are many excellent Soviet contributions to the theory. The best Sovic work has been concerned with bounds on numerical indices associated with graphs, properties of algebraic stvuctures associated with graphs, and operations on graphs. Very littlv Soviet work has been reported on connectivity propertieb of graphs, matroid theory, the exact enumeration of graphs having prescribed properties, isomorphism testing, graph coloring, and the use of graphs for modeling in social sciences. A complete bibliography is given at tIhe end of the report. ti CONTENTS ABSTRACT .