The dimension of a graph G is written: .. For example, the Petersen graph can be drawn with unit edges in , but not in : its dimension is therefore 2 (see the figure to the right).. This topic is the subject of a survey by Simonovits and V. T. Sós (Discrete Math 229:293–340, 2001). Erdo˝s had been a constant in our lives. Paul, who so cared for all of us, died of two suc-cessive heart attacks in Warsaw on September 20, 1996, while attending a graph theory workshop at the Banach Center. These are the problems on Supersaturated Graphs. This feature article gives a cross section of his monumental oeuvre. Open problems of Paul Erd˝os in graph theory∗ F. R. K. Chung University of Pennsylvania Philadelphia, Pennsylvania 19104 The main treasure that Paul Erd˝os has left us is his collection of problems, most of which are still open today. This concept was introduced in 1965 by Paul Erdős, Frank Harary and William Tutte. Paul Erdős (Hungarian: Erdős Pál [ˈɛrdøːʃ ˈpaːl]; 26 March 1913 – 20 September 1996) was a renowned Hungarian mathematician.He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. We can mix these questions with Ramsey type problems, (Ramsey-Turán Theory). These problems are seeds that Paul sowed and watered by giving numerous talks at meetings big and small, near and far. Paul Erdo ˝s L´aszló Babai, Carl Pomerance, and Péter Vértesi P aul Erdo˝s died September 20, 1996, and a memorial article appears elsewhere in this issue. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The main treasure that Paul Erdős has left us is his collection of problems, most of which are still open today. These topics are definitely among the favourite areas in Paul Erdős’s graph theory. Paul Erdős (1913 -- 1996) was an outstanding, prolific, influential, legendary mathematician. Collected papers of Paul Turán (1990) avec Pál Erdős (1913-1996) comme Éditeur scientifique Graph theory and combinatorics, 1988 (1989) avec Pál Erdős (1913-1996) comme Autre We will study a selection of his results in number theory, geometry, Ramsey theory, extremal combinatorial problems, and graph theory that laid the foundations of discrete mathematics before it matured into the rich and vibrant discipline of today. In a classical representation, the vertices must be distinct points, but the edges may cross one another. Paul Erdős's 78 research works with 1,895 citations and 1,369 reads, including: Dense Difference Sets and Their Combinatorial Structure We gazed into our screens that brought the news, dumb-founded and struggling not to believe. The word spread like a brushfire; within a day most of the mathematical world knew. , Frank Harary and William graph theory paul erdős s graph Theory Ramsey-Turán Theory ) and struggling not to believe introduced... 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