Assignment: Summary of a research article
To successfully complete this assignment, you are supposed to write a
summary of one of the articles listed below. Which one is your
choice. If you don't like the list, you may suggest another
article. It should not be one which you are already familiar with!
I don't want to specify how long the summary should be, but 500 words
are too few and 5000 are too many.
The intended reader has your background in mathematics but has not
read the article. Important things that she wants to know are:
- What is the motivation for the article to exist? In what context
does the article fit?
- What are the main results? Why are they important? (Or, why are they
not important?)
- How do the proofs go? Main ideas and techniques? Sketch important
proofs but leave out tedious details that you find less significant.
- Your (motivated) opinion on the article? Well-presented or not?
Important or not? Interesting or not? What is good? What is bad?
As long as it is not too terrible, I will not grade your style of
writing (this lies outside my competence), but the summary should be
readable as a text. Write proper sentences and be nice to the
reader.
The deadline is May 23. If your summary is almost, but not quite,
satisfactory you will get a chance to fix it.
The articles:
- A. Björner, A. Hultman, A note on blockers in
posets, Annals of Combinatorics 8 (2004), 123–131.
- A. Claesson, Generalized pattern
avoidance, European Journal of Combinatorics 22
(2001), 961–971.
- R. Ehrenborg, E. Steingrímsson, The excedance set
of a permutation, Advances in Applied Mathematics 24
(2000), 284–299.
- H. Eriksson, K. Eriksson, J. Karlander, L. Svensson,
J. Wästlund, Sorting a bridge hand,
Discrete Mathematics 241 (2001), 289–300.
- D. N. Kozlov, Complexes
of directed trees, Journal of Combinatorial Theory, Series
A 88 (1999), 112–122.
(Requires some basic topology.)
- J. Lee, B. Sagan, An algorithmic
sign-reversing involution for special rim-hook tableaux,
Journal of Algorithms 59 (2006), 149–161.
- M. Roth, A. Van Tuyl, On the linear
strand of an edge ideal, Communications in Algebra
35 (2007), 821–832.
(Requires some basic topology and commutative algebra.)