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Paul Allen Catlin ( – ) was a mathematician, professor of mathematics and Doctor of Mathematics, known for his valuable contributions to graph theory and number theory. He wrote one of the most cited papers in the series of chromatic numbers and Brooks' theorem, entitled '' Hajós graph coloring conjecture: variations and counterexamples''.〔(【引用サイトリンク】title= List of publications of Paul A. Catlin )〕〔(【引用サイトリンク】title=Publications of Paul A. Catlin )〕 ==Career== He held a Doctorate in Mathematics degree from Ohio State University, authored over fifty academic papers in number theory and graph theory. Many of his contributions and collaborations have been published in ''The Fibonacci Quarterly'', in ''The Journal of Number Theory'', in the ''Journal of Discrete Mathematics'', and many other academic publications.〔 He co-authored scholarly papers with Arthur M. Hobbs,〔(【引用サイトリンク】title= Coauthor index )〕 Béla Bollobás and Paul Erdős, Hong-Jian Lai, Zheng-Yiao Han, and Yehong Shao,〔 among others. He also published papers with G. Neil Robertson, with whom he also completed his dissertation thesis in 1976.〔 Originally from Bridgeport, Connecticut, he majored in Mathematics with a B.A. degree from Carnegie Mellon University in 1970.〔 From 1972 to 1973, he was a research and teaching assistant at Ohio State University, where he earned the Master of Science degree in Mathematics.〔 In 1976, he went to work at Wayne State University, where he concentrated the research on chromatic numbers and Brooks' theorem. As a result, Paul A. Catlin published one of the most cited papers in that series: ''Hajós graph coloring conjecture: variations and counterexamples.'',〔 which showed that the conjecture raised by Hugo Hadwiger is further strengthened not only by but also by ,〔Hadwiger's conjecture generalizations〕 which led to the joint paper written with Paul Erdős and Béla Bollobás entitled ''Hadwiger's conjecture is true for almost every graph''.〔 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Paul A. Catlin」の詳細全文を読む スポンサード リンク
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