A Review on the Relationship between Computer Engineering, Discrete-Math and Graph Theory Arjuwan M. A. Al-Jawadi, Ayhan A. K. Al-Shumam Tikrit Journal of Engineering Sciences, 2020 This review is based on understanding the main concept between computer engineering and mathematics based on two of their most important fields, the discrete-math and graph theory. and answering the question that was asked by many students over the years of working in the university, about the necessity of studying mathematics while majoring computer engineering. Most of the students face the same problem over years for not having the vision to connect between studying materials of their specialization and general ones, in particular between studying discrete-math engineering as in Engineering analysis, and discrete-math as in the Digital signal Processing (DSP), and between algebraic mathematics. Moreover, they do not understand the main idea of the transition between different time or frequency domains, by converting the work in real-time domain systems to work in discrete–time or frequency domain systems. And they do ignore the importance of studying graph theory, in which recent researches have proved the powerful of using graphs in learning tasks, developing an important field of computer engineering, the machine learning, where the standard neural networks (SNNs) have been developed to graph neural networks (GNNs). A figure was concluded at the end of the review to brief the importance of discrete-math developing the relationship between computer engineering in general and graph theory’s role in developing machine learning in particular.
A study of graph theory applications in IT security Turkan Ahmed Khaleel, Ayhan Ahmed Al-Shumam Iraqi Journal of Science, 2020 The recent developments in information technology have made major changes in all fields. The transfer of information through networks has become irreplaceable due to its advantages in facilitating the requirements of modern life through developing methods of storing and distributing information. This in turn has led to an increase in information problems and risks that threaten the security of the institution’s information and can be used in distributed systems environment.
 This study focused on two parts; the first is to review the most important applications of the graph theory in the field of network security, and the second is focused on the possibility of using the Euler graph as a Method Object that is employed in Remote Method Invocation (RMI) technique. This algorithm was compared with the most popular algorithms, such as RSA and 3DES. The results were acceptable and need to be improved in the future.
RECENT SCHOLAR PUBLICATIONS
A Review on Graph Theory in Deep Learning AA Al-Shumam, AMA Al-Jawadi NTU Journal of Pure Sciences 5 (1), 79-91 , 2026 2026.0
On the Domination Numbers of Certain Prism Graphs AA Al-Shumam Tikrit Journal of Pure Science 27 (1) , 2022 2022.0 Citations: 1
A study of graph theory applications in it security TA Khaleel, AA Al-Shumam Iraqi Journal of Science, 2705-2714 , 2020 2020.0 Citations: 19
A review on the relationship between computer engineering, discrete-math and graph theory AMA Al-Jawadi, AAK Al-Shumam Tikrit Journal of Engineering Sciences 27 (3), 38-44 , 2020 2020.0 Citations: 2
Difficulties Facing the Students of the Third Grade of Computer Engineering Technology in the Subject of Engineering Analysis أرجوان محمد عبد الجواد, أيهان احمد خليل College Of Basic Education Researches Journal 15 (4) , 2019 2019.0
On the Independent, Restrained, Total and Connected Domination Number of Musical Graphs AA Khalil College of Basic Education Research Journal 11 (4), 731-737 , 2012 2012.0 Citations: 1
Determination and testing the domination numbers of tadpole graph, book graph and stacked book graph using MATLAB OA Khalil College of Basic Education Research Journal 10 (1), 491-504 , 2011 2011.0 Citations: 11
Determination and testing the domination numbers of tadpole graph, book graph and staced book graph using matlab A Ayhan, A Omar College of Basic Education Researchers Journal 10 (1), 491-501 , 2010 2010.0
UPPER AND LOWER BOUNDS OF THE BASIS NUMBER OF KRONECKER PRODUCT OF A WHEEL WITH A PATH AND A CYCLE A Khalil, GT Marougi Journal of Education and Science 19 (2), 64.0-75.0 , 2007 2007.0
Determination and testing the domination numbers of Helm graph, web graph and Levi graph using MATLAB AA Khalil Journal of Education and Science 24 (2), 103-116 , 1999 1999.0 Citations: 9
UPPER AND LOWER BOUNDS OF THE BASIS NUMBER OF KRONECKER PRODUCT OF A WHEEL WITH A PATH AND A CYCLE GT Marougi, AA Khalil
MOST CITED SCHOLAR PUBLICATIONS
A study of graph theory applications in it security TA Khaleel, AA Al-Shumam Iraqi Journal of Science, 2705-2714 , 2020 2020.0 Citations: 19
Determination and testing the domination numbers of tadpole graph, book graph and stacked book graph using MATLAB OA Khalil College of Basic Education Research Journal 10 (1), 491-504 , 2011 2011.0 Citations: 11
Determination and testing the domination numbers of Helm graph, web graph and Levi graph using MATLAB AA Khalil Journal of Education and Science 24 (2), 103-116 , 1999 1999.0 Citations: 9
A review on the relationship between computer engineering, discrete-math and graph theory AMA Al-Jawadi, AAK Al-Shumam Tikrit Journal of Engineering Sciences 27 (3), 38-44 , 2020 2020.0 Citations: 2
On the Domination Numbers of Certain Prism Graphs AA Al-Shumam Tikrit Journal of Pure Science 27 (1) , 2022 2022.0 Citations: 1
On the Independent, Restrained, Total and Connected Domination Number of Musical Graphs AA Khalil College of Basic Education Research Journal 11 (4), 731-737 , 2012 2012.0 Citations: 1
A Review on Graph Theory in Deep Learning AA Al-Shumam, AMA Al-Jawadi NTU Journal of Pure Sciences 5 (1), 79-91 , 2026 2026.0
Difficulties Facing the Students of the Third Grade of Computer Engineering Technology in the Subject of Engineering Analysis أرجوان محمد عبد الجواد, أيهان احمد خليل College Of Basic Education Researches Journal 15 (4) , 2019 2019.0
Determination and testing the domination numbers of tadpole graph, book graph and staced book graph using matlab A Ayhan, A Omar College of Basic Education Researchers Journal 10 (1), 491-501 , 2010 2010.0
UPPER AND LOWER BOUNDS OF THE BASIS NUMBER OF KRONECKER PRODUCT OF A WHEEL WITH A PATH AND A CYCLE A Khalil, GT Marougi Journal of Education and Science 19 (2), 64.0-75.0 , 2007 2007.0
UPPER AND LOWER BOUNDS OF THE BASIS NUMBER OF KRONECKER PRODUCT OF A WHEEL WITH A PATH AND A CYCLE GT Marougi, AA Khalil