1- Nechirvan B. Ibrahim, On the Energy of Some Composite Graphs, Journal of University of Zakho, Vol. 3(A), No. 1, 2015.

2- Nechirvan B. Ibrahim and Khidir R. Sharaf, Nullity of b-Bridge Coalescence Graphs, JZS (2016) 18- 1 (Part-A).

3- Nechirvan B. Ibrahim, On the Nullity of Generalized Rooted t-Tuple with b-Bridge Coalescence Graphs, Journal University of Zakho, Vol. 4(A), No.1, 2016.

4- Nechirvan Badal Ibrahim and Haven Jalal Ahmed, Results on the Domination Polynomial of Some Coalescence Graphs, JZS (2017) 19 – 1 (Part-A), pp. 171-176.

5- Nechirvan B. Ibrahim and Asaad A. Jund, Edge Connected Domination Polynomial of a Graph, Palestine Journal of Mathematics, Vol. 7(2)(2018), pp. 458–467.

6- Hariwan Fadhil M.Salih and Nechirvan Badal Ibrahim, MULTIPLE CO-PRIME DIVISORS AND MULTIPLE DIVISORS GRAPHS, Journal of University of Duhok, Vol. 20, No.1 (Pure and Eng. Sciences), Pp. 155-159, 2017.

7- Nechirvan B. Ibrahim and Asaad A. Jund, ON THE CHARACTERISTIC POLYNOMIAL OF t-TUPLE AND b-BRIDGE COALESCENCE GRAPHS, Southeast Asian Bulletin of Mathematics, Vol. 42, No. 6, pp.899-906.

8- Nechirvan B. Ibrahim and Hariwan Fadhil M.Salih, Vertex Connected Dominating Sets and Vertex Connected Domination Polynomial of some Coalescence Graphs. (submitted)

9- Nechirvan B. Ibrahim and Asaad A. Jund, MAXIMAL ZERO DIVISOR AND SEMI ZERO DIVISOR GRAPHS. (accepted).

10- Hariwan Fadhil M.Salih and Nechirvan Badal Ibrahim, Generalization of the Euler’s Φ-Function of Graph, New Trends in Mathematical Sciences, Vol. 7, No. 3, Pp. 259-267. 2019.

11- Hariwan Fadhil M.Salih and Nechirvan Badal Ibrahim, Generalization of the Divisor Sum Tk-Function of Graph, General Letters in Mathematics, Vol. 8, No. 2, Pp. 67-74. 2020.

12- Nechirvan Badal Ibrahim and Shayma Saeed Essa, The Identity Graph of the Commutative Rings, Journal of Mathematics and Statistics Research, Vol. 2, No. 2, 2020.

13- Nechirvan Badal Ibrahim, On the Coneighbor Eigenvalues and Coneighbor Energy of a Graph, General Letters in Mathematics, Vol. 9, No. 2, 2020.

14- Nechirvan Badal Ibrahim, Hariwan Fadhil M.Salih and Shadya Merkhan Mershkhan, Generalized Euler’s Φw-function and the divisor sum Tkw-function of edge weighted graphs, Open Journal of Mathematical Sciences, Vol. 7, 2023.

15- Nechirvan Badal Ibrahim, Alias Barakat Khalaf, New Products on Undirected Graphs, New trends in Mathematical Science, 2023.

16- Nechirvan Badal Ibrahim, Alias Barakat Khalaf, On Maximal Block Topological Space, Journal of Intelligence and Fussy System, 2024.

17- Nechirvan Badal Ibrahim, Alias Barakat Khalaf, Coneighbor Graphs and Related Topologies, Mathematics and Statistics, 2024.

1- Spectra Graph Theory.

2- Topological Graph Theory.

3- Number Theory.

4- Abstract Algebra.

• Calculus,
• Analytic Geometry,
• Advanced Calculus,
• Differential Equations,
• Probability,
• Linear Algebra,
• Advanced Geometry.
• Abstract Algebra,
• Operation Research,
• Real Analysis,
• Mathematical Statistics.
• Graph Theory,
• Complex Analysis,
• Graph Theory,
• Spectral Graph Theory,
• Applied Mathematics,
• Optimization,
• Differential Equations.
• Advanced Graph Theory,
• Graph Topological Spaces,
• Advanced Real Analysis,
• General Topology.

Training Courses

• Training course on International English Language Test System in sut Australia center (IELTS 45 Hours).
• Training course on Academic English Proficiency (120 Hours).
• Training course in Teaching Methods for Higher Education (80 Hours).
• Training course on Academic English Proficiency (Elementary Level, pre-Intermediate Level and Intermediate Level).

Seminars

1- 2015- Nullity of Graphs with Co-Neighbor or Identified Vertices, Dept. of Mathematics, Faculty of Science, University of Duhok- Kurdistan Region -Iraq.

2- 2015- The Characteristic Polynomial of Vertex Identification and Edge Introducing Graphs, Dept. of Mathematics, Faculty of Science, University of Duhok- Kurdistan Region -Iraq.

3- 2016- On the Energy of Some Composite Graphs, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

4- 2016- On the Nullity of Generalized Rooted t-Tuple with b-Bridge Coalescence Graphs, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

5- 2020- Generalization of the Euler’s Φ-Function of Graph, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

6- 2020- Generalization of the Divisor Sum Tk-Function of Graph, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

7- 2023- New Products on Undirected Graphs, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

8- 2023- On nano Graph Topological Space, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

9- 2024- On Certain Types of Graph Topological Spaces, Dept. of Mathematics, College of Science, University of Duhok- Kurdistan Region –Iraq.

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