Combinatorial Maps: Tutorial
by Dainis Zeps
Publisher: Latvian University 2007
Number of pages: 61
Contents: Permutations; Combinatorial maps; The correspondence between combinatorial maps and graphs on surfaces; Map's mirror reflection and dual map; Multiplication of combinatorial maps; Normalized combinatorial maps; Geometrical interpretation of combinatorial maps; Drawing of the graph corresponding to combinatorial map; Simple combinatorial maps and their drawings; Vertex split-merge operation; etc.
Home page url
Download or read it online for free here:
by Richard P. Stanley - MIT
The standard guide to the topic for students and experts alike. The material in Volume 1 was chosen to cover those parts of enumerative combinatorics of greatest applicability and with the most important connections with other areas of mathematics.
by Linfan Mao - InfoQuest
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
by Gian-Carlo Rota
In 1998, Gian-Carlo Rota gave his famous course at MIT. John N. Guidi took notes in a verbatim manner conveying the substance of the course. Topics covered included sets, relations, enumeration, order, matching, matroids, and geometric probability.
by Edward A. Bender, S. Gill Williamson - Dover Publications
This introduction to combinatorics, the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. Some ability to construct proofs is assumed.