Notes in Combinatorial Enumeration A short course

in Combinatorial Enumeration A short course

Half-Century Journey from Synthetic Organic Chemistry to Mathematical Stereochemistry through Chemoinformatics

My half-century journey started from synthetic organic chemistry. During the first stage of my journey, my interest in stereochemistry was initiated through the investigation on the participation of steric effects in reactive intermediates, cylophanes, strained heterocycles, and organic compounds for photography. In chemoinformatics as the next stage of the journey, I proposed the concept of im...

Combinatorics lecture notes (I). Combinatorial maps and compact data structures

These notes roughly correspond to the material of my 3 first lectures. The aim of these lectures is to present different directions of research in combinatorics, with enumeration and planarity as a common flavor. Pictures are missing in this version of the notes... too bad for those who missed the lectures. There are probably also many inaccuracies (let’s say errors...), please indicate them to...

Type-Itemized Enumeration of RS-Stereoisomers of Octahedral Complexes

Stereoisograms of octahedral complexes are classified into five types (type I--typeV) under the action of the corresponding RS-stereoisomeric group. Their enumeration is accomplished in a type-itemized fashion, where Fujita's proligand method developed originally for combinatorial enumeration under point groups (S. Fujita, Theor. Chem. Acc., 113, 73--79 (2005)) is extended to meet the requireme...

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...