A half-century ago enumerative combinatorics was considered to be mostly a collection of isolated results and methods, mainly originating with Euler. Since then enumerative combinatorics has been transformed into a rich and important research area in mathematics, partly due to its deep connections with other fields of research. The pioneering work of Stanley, especially the two-volume Enumerative Combinatorics, and the book of Flajolet and Sedgewick on Analytic Combinatorics (also, see the Handbook of Enumerative Combinatorics by Bóna and Combinatorial Enumeration by Goulden and Jackson), helped to shape and popularize the subject. Inspired in particular by these books, and more generally by the many fine papers in the subject, we introduce this Journal, Enumerative Combinatorics and Applications.
Enumerative Combinatorics and Applications (ECA) is a fully-refereed scientific electronic journal with very high standards, devoted to the publication of research articles of the highest quality. Therefore, the journal will consider only submissions that contain new insights/ideas/methods/concepts/bijections/applications related to enumeration. The journal covers research from the field of Enumerative Combinatorics as well as research resulting from the rich interplay between enumerations, applications, and other branches of mathematics and science.
The scope of ECA includes enumerative aspects of combinatorial structures and their connections to various areas of mathematics (linear algebra, probability theory, complex analysis, commutative algebra, representation theory, algebraic geometry, algebraic topology), physics, chemistry, computer science, etc. ECA publishes high quality full papers, reviews, surveys, historical papers and biographies of mathematicians. Our main objective is to help amplify the trend of high quality research in enumerative combinatorics by providing a medium dedicated to this exciting field of mathematics and making it publicly available and free of charge to all researchers across the globe.