论文标题
组合和代数枚举：对Ian P. Goulden和David M. Jackson的工作的调查
Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson
论文作者
论文摘要
在这项调查中，我们讨论了Ian Goulden和David Jackson在古典枚举，对称功能，排列因素化和量子场理论代数基础方面的重要贡献。通过他们的开创性教科书{\ em组合枚举}，以及他们的众多研究论文，包括许多学生，他们在生物信息学，数学化学，算法计算机科学和理论物理学方面都有影响。在这里，我们审查了他们40年合作工作的上下文重点。
In this survey we discuss some of the significant contributions of Ian Goulden and David Jackson in the areas of classical enumeration, symmetric functions, factorizations of permutations, and algebraic foundations of quantum field theory. Through their groundbreaking textbook, {\em Combinatorial Enumeration}, and their numerous research papers, both together and with their many students, they have had an influence in areas of bioinformatics, mathematical chemistry, algorithmic computer science, and theoretical physics. Here we review and set in context highlights of their 40 years of collaborative work.
