The history of degenerate (bipartite) extremal graph problems

This paper is a survey on Extremal Graph Theory, primarily focusing on the case when one of the excluded graphs is bipartite. On one hand we give an introduction to this field and also describe many important results, methods, problems, and constructions.Comment: 97 pages, 11 figures, many problems. This is the preliminary version of our survey presented in Erdos 100. In this version 2 only a citation was complete

Regional Metropolitan and Nonmetropolitan Trends in Annual Growth Rates of Total Personal Income and Population - 1959-1987

The annual growth rates of total personal income and population in regional metropolitan and nonmetropolitan areas are examined for the period 1959-87, partitioned into sub periods. Statistical testing for equality of rates shows no perceptible differences in growth rates between the major categories, metro and nonmetro. Further, this study uses a model similar in scope to shift-share analysis to test for convergence of the growth rates within these categories. It was found that for both regional nonmetro and metro areas, there was a general trend toward convergence with the exception of the 1970s decade. In that decade total population growth rates in the nonmetro areas and total income and total population growth rates in the metro areas showed significant divergences