Goto: Prof. King's page at Univ. of Florida.
Or: JK Homepage.

Modified:
Friday, 12Nov2021
Printed:
Friday, 27May2022

Page:
http://squash.1gainesville.com/Include/thispage.shtml

Aut2017: MAD4203 3214 Intro.Combinatorics.1 MWF7 LIT127 (NW)

Spr2018: MAD4204 4563 Intro.Combinatorics.2 MWF4 LIT201 (SE)

The
Combinatorics II
page is further below.
This
Comb Project,
**done individually**,
is due
no later than
**2:30, Thursday, 07Dec2017**.
slid
u
n
d
e
r
my office door (Little Hall 402, Northeast corner)
,

*The final project must be carefully typed.*
I recommend learning the free
mathematics-typesetting language
.
(It is the archive language of the American Mathematical
Society.)
It can be learned in a week.

**At all times** have a **paper copy** you can hand-in; I do
** NOT** accept
electronic versions.
Print out a copy

My dog ate my homework.)

Please follow the guidelines on the
*Checklist*
(pdf, 3pages) to earn full credit.

Our Teaching Page
has useful information for students in all of my classes.
It has **my schedule**,
LOR guidelines,
and Usually Useful Pamphlets.
One of them is the
*Checklist* (pdf)
which gives pointers on what I consider to be good mathematical
writing.
Further information is at our
class-archive URL
(I email this private URL directly to students).

The various Combinatorial czars who help out.

Projector/Computer | E-Probs | Time | Blackboard | Phone-list |
---|---|---|---|---|

David B. | Paige & Daisia | ? | Andres | Nick C. |

- Voila! a proof of the Eisenstein Irreducibility Criterion (pdf).
- An intro to the Chromatic polynomial of a graph (pdf); a graphical example of deletion-contraction.
- The Comb quizzes so far (pdf).
It also has quzzes from the 2
^{nd}semester. - Students were
**shocked!**by the*Graphic*Language of Class-C. - A std proof of the
Inclusion-Exclusion principle (pdf).
Some
Putnam competition
*Problems*using inclusion-exclusion, e.g B3.2009 (soln). -
Following the well-received
Home-B,
[due
*BoC, Monday, 16Oct2017*] was a Stirling Example of an in-class exam; the much beloved Class-B. - Neil Sloane's On-line Encyclopedia of Integer Sequences (OEIS).
- Home-A
was due
*BoC, Wedn., 27Sep2017*. The eagerly anticipated Class-A [on Friday, 29Sep2017] was greeted with exclamations of Joy and cries ofDude, it's like --totally-- Binomialistic!

- Our Comb 2017t syllabus [updated 23Sep2017, due to hurricane Irma, and some LaTeX typesetting problems] has exam/microquiz info.
- What fun! Computer-generated pictures of Lmino Tilings (txt), illustrating a geometric induction-argument.
- Please learn the Math-Greek alphabet (pdf), which we will use in class frequently.
- Please verify that you can easily do all the problems on High-school & Calc 1 knowledge review exam.

Our textbook is
A Walk Through Combinatorics
(4^{th} edition).

An older edition is

Author: | Miklos Bona | Year: | 2017 |

ISBN: | 978-9813148840 | Publisher: | World Scientific Publishing |

`QA164 .B66 2002`

at Marston.
Spr2018: MAD4204 4563 Intro.Combinatorics.2 MWF4 LIT201 (SE)

...is be due,
slid
u
n
d
e
r
my office door (Little Hall 402, Northeast corner)
,
by
**2PM, Thursday, 26Apr2018**.

*
Project-G
must be carefully typed*,
but diagrams may be hand-drawn.

**At all times** have a **paper copy** you can hand-in; I do
** NOT** accept
electronic versions.
Print out a copy

My dog ate my homework.)

Please follow the guidelines on the
*Checklist*
(pdf, 3pages) to earn full credit.

- Breaking news on the Hadwiger-Nelson problem.
- Available is a light
Introduction to Ramsey Theory (pdf).
*Now has boundedness proof for hypergraph Ramsey numbers*. - An illustration in the gap in Kempe's argument for the 4-color theorem..
- The short Class-G
(Wednesday, 11Apr2018)
was our last in-class exam for the semester.
The essay problem can be stated as the
*Polygamy problem*. - A proof of the Stable-Marriage lemma. Also, triangles in a lotsa-edges graph.
- Our Home-F
appeared on 14Mar2018, and was due BoC on Monday, 19Mar2018 with all team-members present.

Two examples of the**Marriage Lemma**are the*Distinct-cards*&*Hunter/Farmer*problems. Also, available were several*doubly-stochastic matrices*showing the upper-bound on the epsilon derived in Hunter/Farmer.

The in-class portion, Class-F, was Wednesday, 21Mar2018. - Two example spantree-counting using a reduced-Laplacian matrix (pdf) together with a statement and proof of the Block Upper-Triangular--matrix Lemma.
- In one convenient location: All 6 Comb II quizzes so far (pdf), as well as all Comb I quizzes. [Wednesday, 14Mar2018]
- Rough, un-proofread notes showing Example uses of Generating-Functions.
- The delightful Home-E was due Mon., 05Feb2018.

Cute!

was the consensus on Class-E, which appeared on Wed., 07Feb2018. - Generating functions and
Herb Wilf's wonderful
Generating Functionology,
which he has made freely available.

Also, Philippe Flajolet has made his book Analytic Combinatorics freely available. - Graph theory.