Correction: Filion, G.J. Analytic Combinatorics for Computing Seeding Probabilities. Algorithms 2018, 11, 3

Algorithms for Analytic Combinatorics – PI4 Program 2018

One of the draws of combinatorics is its ability to take inspiration from, motivate, and even push forward diverse areas of mathematics and computer science. In particular, much current research focuses on the use of analytic techniques to address questions of computability and complexity in enumerative combinatorics. The universality of many analytic statements often allows for very general en...

Analytic combinatorics for bioinformatics I: seeding methods

Seeding heuristics are the most widely used strategies to speed up sequence alignment in bioinformatics. Such strategies are most successful if they are calibrated, so that the speed-versus-accuracy trade-off can be properly tuned. In the widely used case of read mapping, it has been so far impossible to predict the success rate of competing seeding strategies for lack of a theoretical framewor...

Analytic Combinatorics — Symbolic Combinatorics

This booklet develops in nearly 200 pages the basics of combinatorial enumeration through an approach that revolves around generating functions. The major objects of interest here are words, trees, graphs, and permutations, which surface recurrently in all areas of discrete mathematics. The text presents the core of the theory with chapters on unlabelled enumeration and ordinary generating func...

Analytic Combinatorics

The Order Steps of an Analytic Combinatorics

‎Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures‎. ‎This theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines‎, ‎including probability theory‎, ‎statistical physics‎, ‎computational biology and information theory‎. ‎With a caref...