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.
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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 Federico Ardila - arXiv
The main goal of this survey is to state clearly and concisely some of the most useful tools in algebraic and geometric enumeration, and to give many examples that quickly and concretely illustrate how to put these tools to use.
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.