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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