Discrete Analysis and Operations Research

This book contains translations of papers from the first volume of the new Russian-language journal published at the Sobolev Institute of Mathematics (Sibe­ rian Branch of the Russian Academy of Sciences, Novosibirsk) since 1994. In 1994 the journal was titled Sibirskil Zhurnal Issledovaniya Operatsil. Since 1995 this journal has the title DiskretnYl Analiz i Issledovanie Operatsil (Discrete Analysis and Operations Research) The aim of this journal is to bring together research papers in different areas of discrete mathematics and computer science. The journal DiskretnYl Analiz i Issledovanie Operatsil covers the following fields: ¿ discrete optimization ¿ synthesis and complexity ¿ discrete structures and ¿ of control systems extremal problems ¿ automata ¿ combinatorics ¿ graphs ¿ control and reliability ¿ game theory and its of discrete devices applications ¿ mathematical models and ¿ coding theory methods of decision making ¿ scheduling theory ¿ design and analysis ¿ functional systems theory of algori thms Contributions presented to the journal can be original research papers and occasional survey articles of moderate length. A. D. Korshunov THE NUMBER OF DISTINCT SUBWORDS OF FIXED LENGTH IN THE MORSE-HEDLUND SEQUENCEt) S. V. Avgustinovich An exact formula is obtained for the number of distinct subwords of length n in the Morse-Hedlund sequence [1), i. e. , the sequence in which the initial member is 0 and subsequent members are produced by unlimited application of the operation of substituting 01 for 0 and 10 for 1.