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
 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 1.21.4).
 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 2.12.3).
 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 5.15.3).
 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 2023 Class Schedule
Week  Mon
Individualized instruction based

Tue
Individualized instruction based

Wed
Classroom

Thur
Classroom instruction based on collaborative engagements 
Tests 

Sep 25  29 
Exception day:

Exception day:

Proofs and Problem solving (Section 1.1 Graphs and Graph Models) and writing in Overleaf 
Data exploration: Software Gephi 

Oct 26 
CHUNK Learning: "Introduction to Graph Theory"):

CHUNK Learning: "Introduction to Graph Theory":

"Strategic Reading for STEM" workshop from Graduate Writing Center 
"Strategic Reading II: Critiquing a Text (STEM)" 
Test 1 due (Over Section 1.1) 
Oct 912 
Holiday

CHUNK Learning: 
Proofs and Problem solving

Data exploration 
Test 2 due (Over Sections 1.2, 1.2, & 12.1) 
Oct 1619 
CHUNK Learning: "Degrees in Graphs" 
CHUNK Learning: "Degrees in Graphs" 
Proofs and Problem solving 
Data exploration 
Test 3 due 
Oct 2326 
CHUNK Learning: "Isomorphism" 
CHUNK Learning: "Isomorphism" 
Proofs and Problem solving 
Data exploration 
Test 4 due 
November 2023 Class Schedule
Week  Mon
Individualized instruction based

Tue
Individualized instruction based

Wed
Classroom

Thur
Classroom

Tests 

Oct 30 Nov 2 
CHUNK Learning: "Trees" 
CHUNK Learning: "Trees" 
Proofs and Problem solving 
Data exploration 
Test 5 due 
Nov 69 
Technical Writing workshop from Graduate Writing Center. 
Research 
Research 
Research 
Research summary in Overleaf 
Nov 1316 
CHUNK Learning: "Connectivity" 
CHUNK Learning: "Connectivity" 
Proofs and Problem solving 
Data exploration & 
Test 6 due 
Nov 2023 
& CHUNK Learning: "Traversability' 
CHUNK Learning: "Traversability' 
SHIFT DAY( treat it as a Friday)Optional online synchronous class meeting 
Holiday 
Test 7 due 
December 2023 Class Schedule
Week  Mon
Individualized instruction based

Tue
Individualized instruction based

Wed
Classroom instruction based on collaborative engagements 
Thur
Classroom

Tests 

Nov 27 30 
CHUNK Learning: "Planarity" 
CHUNK Learning: "Coloring" 
Proofs and Problem solving 
Data exploration & 
Test 8 due 
Dec 4 7 
Finalize Research PPT 
Research presentations 
Finalize presentations and Overleaf file 
Finalize presentations and Overleaf file 

Finals Dec 11 
Research paper and presentations updates are due by 5pm 


Classes Taught
 MA 1025 (Mathematical Reasoning)
 MA 1113 (Differential Calculus)
 MA 1114 (Integral Calculus)
 MA 1115 (Multivariate Calculus)
 MA 2025 (Logic and Discrete I)
 MA 3025 (Logic and Discrete II)
 MA 3042 (Linear Algebra)
 MA 4027 (Graph Theory)
 MA 4394 (Topics in Network Science)
 MA 4404 (Complex Networks)
 Short Courses in Network Science
Research Tools
 CHUNK learning (not in IE)
 CoCalc
 Latex/OverLeaf (GWC)
 Gephi (need Java 1.8)
 Python/R/Matlab (NetworkX)
 Network Science
 Proof techniques
 Machine Learning
 Fun Projects