Ralucca Gera - MA4027 Graph Theory and Applications - Ralucca Gera, Professor of Mathematics
Homework will not be collected nor graded, rather it provides practice:
Homework assignment is out of Text: A first course in Graph Theory by G. Chartrand and P. Zhang (you can use this glossary of terms for the book)
- Week 1: Chapter 1: "Intro to GT" #4, 6, 10 (Section 1.1).
- Week 2, Chapter 1: "Intro to GT" #12, 13, 14, 16, 19, 26, 27 (Sections 1.2-1.4).
- Week 3, Chapter 12: "The Center of a Graph" #1, 2, 5 (Section 12.1).
- Week 4, Chapter 2 "Degrees in Graphs": #2, 3, 12, 22, 26, 32, 33, 34, 35, optional is # 37 (Sections 2.1-2.3).
- Week 5, Chapter 3 "Isomorphism": #3, 10, 11, 16, 18 (Sections 3.1. 3.2).
- Week 6, Chapter 4 "Trees": #1, 2, 6, 8, 9, 14, 18, 20, 22, 24 (Sections 4.1, 4.2).
- Week 7, Research week.
- Week 8, Chapter 5 "Connectivity in Graphs": #3, 5, 6, 9, 14, 18, 24, 28 (Sections 5.1-5.3).
- Week 9, Chapter 6 "Traversability": #4, 6, 8, 12, 13, 16, 18 (Sections 6.1, 6.2).
- Week 10, Chapter 9 "Planarity in Graphs": #2, 4, 8, 9, 15, 22, 23, 26, 28 (Sections 9.1, 9.2).
- Week 10, Chapter 10 "Colorings in Graphs": #1, 2, 4, 6, 12, 17 (Sections 10.1, 10.2).
October 2025 Class Schedule
| Week | Mon
Individualized instruction based
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Tue
Classroom instruction based on collaborative engagements |
Wed
Individualized instruction based
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Thur
Classroom instruction based on collaborative engagements |
Tests |
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| Sep 29 -- Oct 3 |
Classroom instruction
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CHUNK Learning: "Introduction to Graph Theory": Section 1.1 Graphs and Graph Models |
Classroom instruction
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Classroom instructionDownload Gephi CHUNK Learning: |
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| Oct 6-10 |
CHUNK Learning: "Introduction to Graph Theory"):
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Proofs and Problem solving |
CHUNK Learning: "Introduction to Graph Theory" |
Data exploration: Software Gephi (explore networked datasets) |
Test 1 due (Over Section 1.1) |
| Oct 14-17 |
Holiday
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Proofs and Problem solving: Section 12.1 |
CHUNK Learning:
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Data exploration |
Test 2 due (Over Sections 1.2, 1.2, & 12.1) |
| Oct 20-24 |
CHUNK Learning: "Degrees in Graphs" |
Proofs and Problem solving |
CHUNK Learning: "Degrees in Graphs" |
Data exploration |
Test 3 due |
| Oct 27-31 |
CHUNK Learning: "Isomorphism" |
Proofs and Problem solving |
CHUNK Learning: "Isomorphism" |
Data exploration |
Test 4 due |
November 2025 Class Schedule
| Week | Monday | Tuesday | Wednesday | Thursday | |
|---|---|---|---|---|---|
| Nov 3-7 |
CHUNK Learning: "Trees" |
Proofs and Problem solving |
CHUNK Learning: "Trees" |
Data exploration |
Test 5 due |
| Nov 10-14 |
Research |
Holiday |
Research |
Research |
Research summary in Overleaf |
| Nov 17-21 |
CHUNK Learning: "Connectivity" |
Proofs and Problem solving |
CHUNK Learning: "Connectivity" |
Data exploration & |
Test 6 due |
| Nov 24-28 |
CHUNK Learning: "Traversability' |
Optional online synchronous class meeting: Proofs and Problem solving |
SHIFT DAY( treat it as a Friday) |
Holiday |
Test 7 due |
December 2025 Class Schedule
| Week | Monday | Tuesday | Wednesday | Thursday | |
|---|---|---|---|---|---|
| Dec 1-5 |
CHUNK Learning: "Planarity" |
Proofs and Problem solving |
CHUNK Learning: "Coloring" |
Proofs and Problem solving |
Test 8 due |
| Dec 8 -12 |
Asynchronous: Finalize Research PPT |
Present Research Summary |
Asynchronous: Finalize presentations and Overleaf file |
Asynchronous: Finalize presentations and Overleaf file |
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Finals Week Dec 15 |
Research paper and presentations updates are due by 5pm |
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