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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT-23-212 | | Elective | 1 | 2 | 6 |
| 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 | 1 | Learns the relation between graphs and graph matrices. | 2 | Understands the relationship between graph indices and graph energies. | 3 | Understands 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 | |
1 | Summation of the topological indices | | | 2 | Graph energies | | | 3 | Laplacian energies of graphs | | | 4 | Normalized Laplacian energies of graphs | | | 5 | Incidence energies of graphs | | | 6 | Randic energy | | | 7 | Midterm | | | 8 | Zagreb energies | | | 9 | Szeged energy | | | 10 | Co-PI energy | | | 11 | Geometric-Arithmetic energy | | | 12 | Harary energy | | | 13 | PIv energy | | | 14 | Harmonic energy | | | 15 | Relation 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 | |
Midterm Examination | 1 | 50 | Criticising Paper | 1 | 50 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 50 | End Of Term (or Year) Learning Activities | 50 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | - |
| Workload Calculation | |
Midterm Examination | 1 | 1 | 1 | Final Examination | 1 | 2 | 2 | Attending Lectures | 14 | 3 | 42 | Question-Answer | 14 | 3 | 42 | Brain Storming | 14 | 3 | 42 | Criticising Paper | 5 | 2 | 10 | Self Study | 14 | 3 | 42 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 5 | 4 | 3 | 5 | 5 | 4 | 4 | 3 | 3 | 3 | 4 | LO2 | 5 | 4 | 4 | 5 | 4 | 4 | 4 | 3 | 4 | 3 | 4 | LO3 | 5 | 4 | 3 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 4 |
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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