Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT-23-212Elective126
Level of Course Unit
Second Cycle
Objectives of the Course
The aim of this course is to show the structure of a given graph with graph energies.
Name of Lecturer(s)
Dr. Öğr. Üyesi Ezgi KAYA
Learning Outcomes
1Learns the relation between graphs and graph matrices.
2Understands the relationship between graph indices and graph energies.
3Understands graph with energies.
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
It is need to know the basic facts of mathematics courses in the graduate level.
Recommended Optional Programme Components
-
Course Contents
Graph energies, Laplacian energies of graphs, Normalized Laplacian energies of graphs, Incidence energies of graphs, Randic energy, Zagreb energies, Szeged energy, Co-PI energy, Geometric-Arithmetic energy, Harary energy, PIv energy, Harmonic energy, Relation between indices and energies
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Summation of the topological indices
2Graph energies
3Laplacian energies of graphs
4Normalized Laplacian energies of graphs
5Incidence energies of graphs
6Randic energy
7Midterm
8Zagreb energies
9Szeged energy
10Co-PI energy
11Geometric-Arithmetic energy
12Harary energy
13PIv energy
14Harmonic energy
15Relation between indices and energies
Recommended or Required Reading
Bondy, J. A. ve Murty, U. S. R., 1976, Graph Theory with Applications, North-Holland, New York • Amsterdam • Oxford, p. Chung, F. R. K., 1997, Spectral Graph Theocy, CBMS Regional Conference Series in Mathematics, American Mathematical Society, p. Jonathan Gross, Jay Yellen, Graph thery and and its applications CRC pres,1998. Gutman, I. ve Polansky, O. E., 1986, Mathematical Concepts in Organic Chemistry, Springer, Berlin, p. Li, X., Shi, Y. ve Gutman, I., 2012, Graph Energy, Springer, New York, p. Gutman, I. ve Li, X., 2016, Graph Energies – Theory and Applications, Univ. Kragujevac, Kragujevac, p.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination150
Criticising Paper150
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
Turkish
Work Placement(s)
-
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14342
Question-Answer14342
Brain Storming14342
Criticising Paper5210
Self Study14342
TOTAL WORKLOAD (hours)181
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
LO154355443334
LO254454443434
LO354344433334
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr