Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Vadim G. Vizing is a Ukrainian mathematician known for his contributions to graph theory, and especially for Vizing''s theorem stating that the edges of any graph with maximum degree can be colored with at most + 1 colors. Vizing was born in Kiev on March 25, 1937. His mother was half-German, and because of this the soviet authorities forced his family to move to Siberia in 1947. After completing his undergraduate studies in mathematics in Tomsk in 1959, he began his Ph.D. studies at the Steklov Institute of Mathematics in Moscow, on the subject of function approximation, but he left in 1962 without completing his degree. Instead, he returned to Novosibirsk, working from 1962 to 1968 at the Russian Academy of Sciences there and earning a Ph.D. in 1966.