| 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). |
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Tuesday
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Thursday
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| 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 |
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| 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 |
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| 19 Section 6.1: Unique Factorization over the Cartesian product |
21 Sections 6.2 & 6.3: Automorphisms of Cartesian products & group actions |
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| 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) |
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| 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 |
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| 17 Chapter 9: Cancellation |
19 Chapter 9: Cancellation Suggested exercises: 9.1-9.5, 9.7 |
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| 24 Chapter 9: C-graphs |
26 Chapter 10 Lexicographic product |
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| 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 |
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| 14 Chapter 12: Median Graphs; Section 12.1 |
16 TEST 3 |
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| 21 Thanksgiving break
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23 Thanksgiving break
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| 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 |
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| 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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