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 Peter J. Cameron - Queen Mary, University of London
Contents: Subsets and binomial coefficients; Selections and arrangements; Power series; Recurrence relations; Partitions and permutations; The Principle of Inclusion and Exclusion; Families of sets; Systems of distinct representatives; etc.
by S. E. Payne - University of Colorado
These notes deal with enumerative combinatorics. The author included some traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. He derives a variety of techniques for counting.
by William Chen - Macquarie University
Contents: Uniform Distribution; Classical Discrepancy Problem; Generalization of the Problem; Introduction to Lower Bounds; Introduction to Upper Bounds; Fourier Transform Techniques; Upper Bounds in the Classical Problem; Disc Segment Problem; etc.
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.