| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT-23-112 | GRAFLARDA TOPOLOJİK İNDEKSLER-I | Elective | 1 | 1 | 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 topological indices. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Ezgi KAYA |
| Learning Outcomes |
| 1 | Establishes a link between graphs and indexes. | | 2 | Understands the relationship between graph isomorphism and graphs. |
|
| 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 |
| Wiener index, Szeged index, PIv index, Co-PI index, Harary index, Zagreb indices, Randic index, Harmonic index, Geometric-Arithmetic index, Sum-connectivity index, Atom-bond connectivity index
Degree based irregularity indices, Distance based irregularity indices |
| Weekly Detailed Course Contents |
|
| 1 | Introduction to topological indices | | | | 2 | Wiener index | | | | 3 | Szeged index | | | | 4 | PIv index | | | | 5 | Co-PI index | | | | 6 | Harary index | | | | 7 | Midterm | | | | 8 | Zagreb indices | | | | 9 | Randic index | | | | 10 | Harmonic index | | | | 11 | Geometric-Arithmetic index | | | | 12 | Sum-connectivity index | | | | 13 | Atom-bond connectivity index | | | | 14 | Degree based irregularity indices | | | | 15 | Distance based irregularity indices | | |
|
| Recommended or Required Reading |
| D. Bonchev, D. H. Rouvray, Chemical Graph Theory Introduction and Fundamentals, Taylor & Francis, 1991.
Mircea V. Diudea, Ivan Gutman, Jäntschi Lorentz, Molecular Topology, NOVA, 1999.
Jonathan Gross, Jay Yellen, Graph thery and and its applications CRC pres,1998.
Stephan Wagner, Hua Wang, Introduction to Chemical Graph Theory, CRC pres, 2019. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | 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 |
|
| * 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
|