MATH 765 Calendar for Fall 2023

Important: This calendar is subject to change; check frequently for updates. (Be sure to refresh your screen.)
You do not have to do all the exercises -- concentrate on the ones that capture your interest (but also do enough to be prepared for the tests).
 
Tuesday
Thursday
Aug. 22

Chapter 1 & 2: Introduction  & review of fundamental concepts

Warmup exercises: 1.1-1.12; 2.1-2.7
24

Chapter 3: Hypercubes & Isometric Subgraphs 

Suggested exercises: 3.1-3.12
29

Chapter 4: Graph Products

Suggested exercises: 4.1-4.12
31

Chapters 4 & 5: The Four Standard Graph Products

Suggested exercises: 5.1-5.17
Sept. 5

Chapter 5: Distance and connectivity in the four products
7

Chapter 6: Cartesian Product
Section 6.1 Unique Factorization over the Cartesian product

Suggested exercises: 6.1-6.13
12

Section 6.1: Unique Factorization over the Cartesian product
14

  TEST 1

19

Section 6.1: Unique Factorization over the Cartesian product
21

Sections 6.2 & 6.3: Automorphisms of Cartesian products & group actions
26

Section 6.4: Cancellation;
Section 8.1: Non-unique prime factoring
Section 8.2 R-thin graphs
28

Section 8.2 R-thin graphs (continued)
Oct. 3

Section 8.3 Cartesian skeletons
5

Sections 8.4, 8.5, 8.6, 8.7 Direct product prime factorization and consequences
10

Chapter 7 Overview
Suggested exercises: 7.1-7.8
Suggested exercises: 8.1-8.22
12

  TEST 2
17
Chapter 9: Cancellation
19
Chapter 9: Cancellation
Suggested exercises: 9.1-9.5, 9.7
24

Chapter 9: C-graphs

26
 

Chapter 10 Lexicographic product
Nov. 31

Chapter 10 Lexicographic product
Suggested exercise: 10.1
2
 
Chapter 11, Section 11.1: The Theta relation
7
9

Chapter 11, Section 11.2: Characterizations of partial cubes
Suggested exercises: 11.1-11.13
14

Chapter 12: Median Graphs; Section 12.1
16

  TEST 3
21
Thanksgiving break

23
Thanksgiving break
28

Chapter 12: Median Graphs; Sections 12.2, 12.3
Suggested exercises: 12.1-12.3
30

Chapter 13: The canonical isometric embedding
Suggested exercises: 13.1-13.4, 13.6
Dec. 5

Chapter 9: Graph exponentiation
Suggested exercises: 9.7
7

Chapter 15: Graph dimensions
Suggested exercises: 15.1-15.3
12


 
14

 
FINAL EXAM (8:00-10:50 am)

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