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Federico Ardila

Federico Ardila: Matroids

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LECTURE INDEX AT:
http://math.sfsu.edu/federico/teaching.html

A Spring 2007 course on Matroids at SFSU and Los Andes taught by Federico Ardila.

I have taught 5 joint courses:
- Matroids (2007)
- Coxeter Groups (2008)
- Combinatorial Commutative Algebra (2009)
- Polytopes (2010)
- Hopf Algebras and Combinatorics (2012)
All videos are available on youtube. (Channel: federicoelmatematico)

I was a bit hesitant to post all of this for anyone to see. Everyone makes mistakes when they teach, but not everyone immortalizes them on the internet. :) But I decided the lectures might be useful to people so I posted them anyway. If you have found them helpful, please let me know how you are using them. I welcome your comments and feedback; drop me an email to myfirstname at sfsu dot edu.

This work is part of the SFSU-Colombia Combinatorics Initiative, and is partially supported by the grants:
NSF Grant DMS-0801075
NSF CAREER Award DMS-0956178
of the US National Science Foundation.

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    Lecture 1 . Matroids (Federico Ardila)

    by Federico Ardila 603 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    Sorry that the camera is so erratic. This was our very first try with an inexpensive, 100% DIY setup that we learned from figure skaters. Some heat sensors by the board tell the camera where I am, and it follows me automatically. With time I learned to move around less so the camera wouldn't get confused. We also improved the algorithm so that (hopefully) the camera won't follow me if I am just crossing the room to pickup the eraser. I think the videos mostly got better as time went on. (My colleague Arek Goetz set this up, a big thank you to him!!!)

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  2. Thumbnail 54:02
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    Lecture 2 . Matroids (Federico Ardila)

    by Federico Ardila 271 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 3 . Matroids (Federico Ardila)

    by Federico Ardila 125 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 4 . Matroids (Federico Ardila)

    by Federico Ardila 90 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 5 . Matroids (Federico Ardila)

    by Federico Ardila 89 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 6 . Matroids (Federico Ardila)

    by Federico Ardila 55 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 7 . Matroids (Federico Ardila)

    by Federico Ardila 44 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 8 . Matroids (Federico Ardila)

    by Federico Ardila 60 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 9 . Matroids (Federico Ardila)

    by Federico Ardila 54 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 10 . Matroids (Federico Ardila)

    by Federico Ardila 36 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 11 . Matroids (Federico Ardila)

    by Federico Ardila 46 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 12 . Matroids (Federico Ardila)

    by Federico Ardila 38 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 13 . Matroids (Federico Ardila)

    by Federico Ardila 38 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 14 . Matroids (Federico Ardila)

    by Federico Ardila 32 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 15 . Matroids (Federico Ardila)

    by Federico Ardila 38 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 16 . Matroids (Federico Ardila)

    by Federico Ardila 37 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 17 . Matroids (Federico Ardila)

    by Federico Ardila 35 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 18 . Matroids (Federico Ardila)

    by Federico Ardila 29 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 19 . Matroids (Federico Ardila)

    by Federico Ardila 50 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 20 . Matroids (Federico Ardila)

    by Federico Ardila 42 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 21 . Matroids (Federico Ardila)

    by Federico Ardila 30 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 22 . Matroids (Federico Ardila)

    by Federico Ardila 47 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 23 . Matroids (Federico Ardila)

    by Federico Ardila 31 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 24 . Matroids (Federico Ardila)

    by Federico Ardila 30 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 26 . Matroids (Federico Ardila)

    by Federico Ardila 23 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 27 . Matroids (Federico Ardila)

    by Federico Ardila 24 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 28 . Matroids (Federico Ardila)

    by Federico Ardila 50 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 29 . Matroids (Federico Ardila)

    by Federico Ardila 18 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  29. Thumbnail 54:02
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    Lecture 30 . Matroids (Federico Ardila)

    by Federico Ardila 22 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  30. Thumbnail 54:02
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    Lecture 31 . Matroids (Federico Ardila)

    by Federico Ardila 22 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 32 . Matroids (Federico Ardila)

    by Federico Ardila 20 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 33 . Matroids (Federico Ardila)

    by Federico Ardila 22 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 34 . Matroids (Federico Ardila)

    by Federico Ardila 20 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 35 . Matroids (Federico Ardila)

    by Federico Ardila 23 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 36 . Matroids (Federico Ardila)

    by Federico Ardila 15 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 37 . Matroids (Federico Ardila)

    by Federico Ardila 18 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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    Lecture 38 . Matroids (Federico Ardila)

    by Federico Ardila 22 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2008

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  38. Thumbnail 54:02
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    Lecture 39 . Matroids (Federico Ardila)

    by Federico Ardila 25 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  39. Thumbnail 54:02
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    Lecture 40 . Matroids (Federico Ardila)

    by Federico Ardila 36 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  40. Thumbnail 54:02
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    Lecture 41 . Matroids (Federico Ardila)

    by Federico Ardila 70 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  41. Thumbnail 54:02
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    Lecture 43 . Matroids (Federico Ardila)

    by Federico Ardila 24 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  42. Thumbnail 54:02
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    Lecture 44 . Matroids (Federico Ardila)

    by Federico Ardila 29 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

  43. Thumbnail 54:02
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    Lecture 45 . Matroids (Federico Ardila)

    by Federico Ardila 137 views

    Lecture notes at: http://math.sfsu.edu/federico/Clase/Matroids/lectures.html

    San Francisco State University (San Francisco, USA)
    Universidad de Los Andes (Bogota, Colombia)
    Spring 2007

    Partially supported by:
    US National Science Foundation CAREER Award DMS-0956178
    US National Science Foundation Grant DMS-0801075
    SFSU-Colombia Combinatorics Initiative.

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