**Combinatorics (Math 4707 and Math 4990), Fall 2017**

Darij Grinberg (203B Vincent Hall)

Moodle sites:

**This site is moving to https://www.cip.ifi.lmu.de/~grinberg/t/17f/ !** Please change your links and references.

**Main resources:**

Not yet available: my lecture notes (currently, the PDF just has references).

David Galvin's notes "Basic discrete mathematics". This is a rather nice set of notes that will have a lot of overlap with this class. Please mail dgrinber@umn.edu for questions and comments (I am maintaining these notes currently).

Quick book references: Loehr (errata); Graham/Knuth/Patashnik (errata); Bogart; Bóna.

Basics on equivalence relations and equivalence classes: class materials by Melissa Lynn and by Jonathan Rogness (part 1 and part 2).

Extra notes: Why log and exp are inverse; Sandpiles with proofs (HW5 from 5707S17).

See Math 5707 from Spring 2017 for some graph theory, specifically lecture 9 for trees and their many definitions.

Blackboard writing from 4990 (only from the second half of the semester):

- October 10 | October 17 | October 24 | October 31 (there has never been a page 3) | November 7 | November 14 | November 21 (bonus material) | November 28 | December 5.

**Homework and other problems:**

A LaTeX template for those who want to write their solutions in LaTeX. (Compiled PDF.)

Math 4707:

- Homework set 1 (TeX source). Solutions (TeX source). Alternative solutions by Mark Richard.
- Homework set 2 (TeX source). Solutions (TeX source).
- Midterm 1 (TeX source). Solutions (TeX source). Note: The solutions include some extra questions.
- Homework set 3 (TeX source). Solutions (TeX source).
- Homework set 4 (TeX source). Provisional solutions (TeX source).
- Midterm 2 (TeX source). Provisional solutions to Exercises 1-5, 7 (TeX source).
- Homework set 5 (TeX source). Solutions (TeX source).
- Homework set 6 (TeX source). Solutions to Exercises 2, 3, 4, 7 by Angela Chen. Provisional solution sketches to Exercises 1, 3-6 (TeX source).
- Midterm 3 (TeX source). Solutions to Exercises 1, 3 by Angela Chen. For a solution to Exercise 2, see Exercise 5.27 in [detnotes] (version of 10 January 2019). For a solution to Exercise 9, see my
*Notes on network flows*.

Math 4990:

- Homework set 1 (TeX source). Solutions (TeX source). Alternative solutions by Mark Richard.
- Homework set 2 (TeX source). Solutions (TeX source).
- Homework set 3 (TeX source). Solutions (TeX source).
- Homework set 4 (TeX source). Solutions (TeX source).
- Homework set 5 (TeX source). Provisional solutions (TeX source).
- Homework set 6 (TeX source). Provisional solutions to Exercises 1-5, 7 (TeX source).
- Homework set 7 (TeX source). Solutions (TeX source).
- Homework set 8 (TeX source). Solutions to Exercises 2, 3, 4, 7 by Angela Chen. Provisional solution sketches to Exercises 1, 3-6 (TeX source).
- Homework set 9 (TeX source). Solutions to Exercises 1, 3 by Angela Chen. For a solution to Exercise 2, see Exercise 5.27 in [detnotes] (version of 10 January 2019).

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