Mohammad Javad Nadjafi Arani
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Research Interests
Mohammad Javad Nadjafi Arani has a total of 27 co-authors. Here are the top co-authors by number of shared publications:
- Sandi Klavžar
University of Maribor
9 shared publications - Ali Reza Ashrafi
University of Kashan, Kashan, Iran
5 shared publications - Kinkar Chandra Das
Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea
3 shared publications - Mohammad Khalily-Dermany
Centre for Wireless Communications (CWC), University of Oulu, Finland
3 shared publications H. Khodashenas
2 shared publications- Saeed Doostali
Department of Computer, University of Kashan, Kashan, Iran
2 shared publications
Latest Publications
- Open Access
Cyclic Subgroup Lattices as Universal Sources of Power-Type Graphs
Power-type graphs, such as the power graph, the directed power graph, the enhanced power graph and the difference graph, encode significant information about the internal structure of a finite group. Despite substantial investigation in recent years, the precise relationship between these graphs and the subgroup lattice of the underlying group has remained only partially understood. In this paper we establish a complete, explicit, and purely combinatorial correspondence between the enhanced power graph and the lattice of cyclic subgroups $\mathcal{L}_c(G)$ of a finite group $G$. We prove that these two objects determine each other uniquely: an unlabeled enhanced power graph suffices to reconstruct $\mathcal{L}_c(G)$, and conversely, the labeled enhanced power graph can be reconstructed directly from $\mathcal{L}_c(G)$. Exploiting this duality, we demonstrate that the reconstruction principle applies equally to the power graph, the directed power graph, and the difference graph, which may all be derived solely from the cyclic subgroup lattice, independent of the group operation. This bidirectional correspondence yields a combinatorial equivalence between power-type graphs and the cyclic subgroup lattice, providing a new framework for analyzing finite groups through graph-theoretic and lattice-theoretic data, free from algebraic complexity.Open AccessCyclic Subgroup Lattices as Universal Sources of Power-Type Graphs
Power-type graphs, such as the power graph, the directed power graph, the enhanced power graph and the difference graph, encode significant information about the internal structure of a finite group. Despite substantial investigation in recent years, the precise relationship between these graphs and the subgroup lattice of the underlying group has remained only partially understood. In this paper we establish a complete, explicit, and purely combinatorial correspondence between the enhanced power graph and the lattice of cyclic subgroups $\mathcal{L}_c(G)$ of a finite group $G$. We prove that these two objects determine each other uniquely: an unlabeled enhanced power graph suffices to reconstruct $\mathcal{L}_c(G)$, and conversely, the labeled enhanced power graph can be reconstructed directly from $\mathcal{L}_c(G)$. Exploiting this duality, we demonstrate that the reconstruction principle applies equally to the power graph, the directed power graph, and the difference graph, which may all be derived solely from the cyclic subgroup lattice, independent of the group operation. This bidirectional correspondence yields a combinatorial equivalence between power-type graphs and the cyclic subgroup lattice, providing a new framework for analyzing finite groups through graph-theoretic and lattice-theoretic data, free from algebraic complexity. - 19 June 2025
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Vol. 55 (9) , 5925-5934
Network Analysis for Organized Fraud Detection in Automobile Insurance With Graph Theory and Poisson Process
Fraudulent claims in the automobile industry pose a significant threat to the financial stability of insurance companies and erode the trust between policyholders and insurers. Organized fraud, which involves intricate schemes and multiple parties, presents a substantial challenge in detection due to imbalanced datasets. While existing techniques such as over-sampling and under-sampling have been proposed to address this issue, they often lead to overfitting, loss of information, and reduced accuracy. However, assigning a suspicious label to each policyholder is more changeable, as it can identify potential risks and prevent fraudulent activities before they occur. In response to these challenges, we propose a novel heuristic approach called Organized Fraud detection with Graph theory and Poisson process (OrFGP) that identifies suspiciously organized fraud groups within an accident network and provides credibility levels for accidents and associated individuals. We first demonstrate that car accidents follow a Poisson random process. We then combine this process with graph theory to introduce an accident network. In the network, our objective is to identify regular behavior between accidents, which, based on the stochastic nature of accidents, can indicate organized fraud. OrFGP uses probabilistic concepts in conjunction with local network connectivity metrics to evaluate the credibility of accidents and individuals. The results indicate that OrFGP outperforms state-of-the-art approaches, particularly in imbalanced datasets. In fact, OrFGP achieves an accuracy of 98% and improves the F1-score by at least 3%.
- 19 June 2025
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Vol. 55 (9) , 5925-5934
Network Analysis for Organized Fraud Detection in Automobile Insurance With Graph Theory and Poisson Process
Fraudulent claims in the automobile industry pose a significant threat to the financial stability of insurance companies and erode the trust between policyholders and insurers. Organized fraud, which involves intricate schemes and multiple parties, presents a substantial challenge in detection due to imbalanced datasets. While existing techniques such as over-sampling and under-sampling have been proposed to address this issue, they often lead to overfitting, loss of information, and reduced accuracy. However, assigning a suspicious label to each policyholder is more changeable, as it can identify potential risks and prevent fraudulent activities before they occur. In response to these challenges, we propose a novel heuristic approach called Organized Fraud detection with Graph theory and Poisson process (OrFGP) that identifies suspiciously organized fraud groups within an accident network and provides credibility levels for accidents and associated individuals. We first demonstrate that car accidents follow a Poisson random process. We then combine this process with graph theory to introduce an accident network. In the network, our objective is to identify regular behavior between accidents, which, based on the stochastic nature of accidents, can indicate organized fraud. OrFGP uses probabilistic concepts in conjunction with local network connectivity metrics to evaluate the credibility of accidents and individuals. The results indicate that OrFGP outperforms state-of-the-art approaches, particularly in imbalanced datasets. In fact, OrFGP achieves an accuracy of 98% and improves the F1-score by at least 3%.
- 6 June 2025
- Published by Springer Nature in Journal of Applied Mathematics and Computing
- Vol. 71 (S1) , 1339-1373
Optimal radio labeling of Cartesian product of rectangular mesh networks and stars
- 6 June 2025
- Published by Springer Nature in Journal of Applied Mathematics and Computing
- Vol. 71 (S1) , 1339-1373
Optimal radio labeling of Cartesian product of rectangular mesh networks and stars
- Open Access
- 1 January 2025
- Published by University Library in Kragujevac in Match Communications in Mathematical and in Computer Chemistry
- Vol. 95 (2) , 289-325
Machine Learning-Driven QSPR Analysis for Drug Property Prediction via Topological Indices
Quantitative Structure Property Relationship (QSPR) modeling is critical for predicting physicochemical properties of molecules, supporting drug discovery and material design. Traditional methods often use complex descriptors or opaque models, which limits interpretability. There is a need for QSPR approaches that balance accuracy and interpretability to elucidate structural influences on molecular properties. We introduce a QSPR method using degree-distance-based topological indices (TIs) derived from vertex edge weighted (VEW) molecular graphs, weighted by atomic number, mass, radius, density, electronegativity, and ionization energy. This approach captures detailed molecular connectivity and bonding while prioritizing interpretability. Using a 166-molecule dataset, our models -Ridge Regression, Random Forest, XGBoost, and Neural Networks- achieved high prediction accuracy for six physicochemical properties. Regularization ensured robust predictions. The performance metrics tables and the TI correlations clarified the structure-property relationships. This efficient and interpretable framework accelerates drug discovery by enabling virtual screening and informed molecular design.
- 1 January 2025
- Published by University Library in Kragujevac in Match Communications in Mathematical and in Computer Chemistry
- Vol. 95 (2) , 289-325
Open AccessMachine Learning-Driven QSPR Analysis for Drug Property Prediction via Topological Indices
Quantitative Structure Property Relationship (QSPR) modeling is critical for predicting physicochemical properties of molecules, supporting drug discovery and material design. Traditional methods often use complex descriptors or opaque models, which limits interpretability. There is a need for QSPR approaches that balance accuracy and interpretability to elucidate structural influences on molecular properties. We introduce a QSPR method using degree-distance-based topological indices (TIs) derived from vertex edge weighted (VEW) molecular graphs, weighted by atomic number, mass, radius, density, electronegativity, and ionization energy. This approach captures detailed molecular connectivity and bonding while prioritizing interpretability. Using a 166-molecule dataset, our models -Ridge Regression, Random Forest, XGBoost, and Neural Networks- achieved high prediction accuracy for six physicochemical properties. Regularization ensured robust predictions. The performance metrics tables and the TI correlations clarified the structure-property relationships. This efficient and interpretable framework accelerates drug discovery by enabling virtual screening and informed molecular design.
- 14 November 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Services Computing
- Vol. 16 (4) , 3075-3087
Workflow Scheduling With Guaranteed Responsiveness and Minimal Cost
Workflow scheduling is the process of optimally assigning virtual machines to workflow tasks subject to response time and cost consideration. Since such an optimization problem is NP-compete, providing an effective heuristic approach is essential. In this paper, we consider the workflow scheduling problem with the least cost subject to a bound on the response time. We show that existing solutions fundamentally care for the longest execution path within the workflow without appropriately handling non-critical paths. To overcome such a shortcoming, we propose a novel heuristic algorithm based on discrete mathematics. We first demonstrate that a workflow has a bijective relation with a partially ordered set and then introduce two operations on the workflow to show that it is an algebraic structure. We then form a totally ordered set,$(T^{exe}({\cal P}), \preccurlyeq )$ , of workflow paths where$T^{exe}({\cal P})$ is the set of path execution times. Based on$(T^{exe}({\cal P}), \preccurlyeq ),$ we identify the path with the maximum cumulative execution time and allocate a virtual machine to each task of the path based on the workflow deadline. We then delete the scheduled path and run our algorithm for each resulting sub-workflow in parallel. The results indicate that the proposed algorithm outperforms the best-known approaches in the literature.- 14 November 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Services Computing
- Vol. 16 (4) , 3075-3087
Workflow Scheduling With Guaranteed Responsiveness and Minimal Cost
Workflow scheduling is the process of optimally assigning virtual machines to workflow tasks subject to response time and cost consideration. Since such an optimization problem is NP-compete, providing an effective heuristic approach is essential. In this paper, we consider the workflow scheduling problem with the least cost subject to a bound on the response time. We show that existing solutions fundamentally care for the longest execution path within the workflow without appropriately handling non-critical paths. To overcome such a shortcoming, we propose a novel heuristic algorithm based on discrete mathematics. We first demonstrate that a workflow has a bijective relation with a partially ordered set and then introduce two operations on the workflow to show that it is an algebraic structure. We then form a totally ordered set,$(T^{exe}({\cal P}), \preccurlyeq )$ , of workflow paths where$T^{exe}({\cal P})$ is the set of path execution times. Based on$(T^{exe}({\cal P}), \preccurlyeq ),$ we identify the path with the maximum cumulative execution time and allocate a virtual machine to each task of the path based on the workflow deadline. We then delete the scheduled path and run our algorithm for each resulting sub-workflow in parallel. The results indicate that the proposed algorithm outperforms the best-known approaches in the literature.- Open Access
Partition and Colored Distances in Graphs Induced to Subsets of Vertices and Some of Its Applications
If G is a graph and is a partition of , then the partition distance of G is the sum of the distances between all pairs of vertices that lie in the same part of . A colored distance is the dual concept of the partition distance. These notions are motivated by a problem in the facility location network and applied to several well-known distance-based graph invariants. In this paper, we apply an extended cut method to induce the partition and color distances to some subsets of vertices which are not necessary a partition of . Then, we define a two-dimensional weighted graph and an operator to prove that the induced partition and colored distances of a graph can be obtained from the weighted Wiener index of a two-dimensional weighted quotient graph induced by the transitive closure of the Djoković–Winkler relation as well as by any partition that is coarser. Finally, we utilize our main results to find some upper bounds for the modified Wiener index and the number of orbits of partial cube graphs under the action of automorphism group of graphs.Open AccessPartition and Colored Distances in Graphs Induced to Subsets of Vertices and Some of Its Applications
If G is a graph and is a partition of , then the partition distance of G is the sum of the distances between all pairs of vertices that lie in the same part of . A colored distance is the dual concept of the partition distance. These notions are motivated by a problem in the facility location network and applied to several well-known distance-based graph invariants. In this paper, we apply an extended cut method to induce the partition and color distances to some subsets of vertices which are not necessary a partition of . Then, we define a two-dimensional weighted graph and an operator to prove that the induced partition and colored distances of a graph can be obtained from the weighted Wiener index of a two-dimensional weighted quotient graph induced by the transitive closure of the Djoković–Winkler relation as well as by any partition that is coarser. Finally, we utilize our main results to find some upper bounds for the modified Wiener index and the number of orbits of partial cube graphs under the action of automorphism group of graphs. - 24 June 2019
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Communications Letters
- Vol. 23 (9) , 1568-1571
Mathematical Aspects in Combining Network Coding With Transmission Range Adjustment
Combining topology control with network coding has been recently noticed which provides essential advantages such as lower energy consumption and higher lifetime. In this paper, we utilize optimization and graph theory to propose a mathematical perspective for combining network coding with transmission range adjustment in Wireless Sensor Network (WSN). For this aim, we define an extended optimization problem based on two vectors of variables including transmission range and network flow. In particular, it is proved that there is a coding solution if and only if the extended optimization problem has at least an optimal solution. Due to this theorem, a new objective function is provided which is more practical to prolong the lifetime of WSNs. The simulation results demonstrate that the proposed model could adjust transmission range efficiently to obtain the optimal lifetime for network-coding-based WSNs.
- 24 June 2019
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Communications Letters
- Vol. 23 (9) , 1568-1571
Mathematical Aspects in Combining Network Coding With Transmission Range Adjustment
Combining topology control with network coding has been recently noticed which provides essential advantages such as lower energy consumption and higher lifetime. In this paper, we utilize optimization and graph theory to propose a mathematical perspective for combining network coding with transmission range adjustment in Wireless Sensor Network (WSN). For this aim, we define an extended optimization problem based on two vectors of variables including transmission range and network flow. In particular, it is proved that there is a coding solution if and only if the extended optimization problem has at least an optimal solution. Due to this theorem, a new objective function is provided which is more practical to prolong the lifetime of WSNs. The simulation results demonstrate that the proposed model could adjust transmission range efficiently to obtain the optimal lifetime for network-coding-based WSNs.
- 1 October 2017
- Published by Elsevier in Computer Communications
- Vol. 111, 1-13
Itinerary planning for mobile sinks in network-coding-based wireless sensor networks
- 1 October 2017
- Published by Elsevier in Computer Communications
- Vol. 111, 1-13
Itinerary planning for mobile sinks in network-coding-based wireless sensor networks
- 22 July 2017
- Published by Springer Nature in Journal of Mathematical Chemistry
- Vol. 56 (1) , 69-80
Partition distance in graphs
- 22 July 2017
- Published by Springer Nature in Journal of Mathematical Chemistry
- Vol. 56 (1) , 69-80
Partition distance in graphs
- 1 May 2017
- Published by Elsevier in Ad Hoc Networks
- Vol. 59, 1-11
A convex optimization model for topology control in network-coding-based-wireless-sensor networks
- 1 May 2017
- Published by Elsevier in Ad Hoc Networks
- Vol. 59, 1-11
A convex optimization model for topology control in network-coding-based-wireless-sensor networks