JAEM 2026, Vol 16, No 4 koleksiyonunu içerir. http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7228 2026-04-07T12:26:42Z 2026-04-07T12:26:42Z Madlool, Ghazi Abdullah Mohammed Abbas, Nada http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7238 2026-04-06T12:07:16Z 2026-04-01T00:00:00Z

Improving reliability allocation for complex networks using the Sea Lion Algorithm with three cost functions Madlool, Ghazi Abdullah; Mohammed Abbas, Nada This research addresses the issue of improving the reliability of complex networks under multiple cost constraints by employing the Sea Lion Optimization (SLO) algorithm. The problem is framed as a constrained optimization model that aims to maximize system reliability by allocating reliability levels to network elements, considering three main cost functions: The proposed methodology relies on an adaptive search mechanism that dynamically balances the exploration and exploitation phases, enhancing the algorithm’s ability to overcome local non-optimal solutions and improve convergence stability. Cost constraints are also incorporated into the update process to ensure that solutions remain within defined economic limits without negatively impacting system performance. The numerical results showed that the proposed model achieves improved overall reliability, along with a more homogeneous reliability distribution among network components, thus reducing critical vulnerabilities and increasing the efficiency of the system as a whole.

2026-04-01T00:00:00Z Nalwad, Pushpa Swamy, Narayan Biradar, Aditya http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7237 2026-04-06T11:50:29Z 2026-04-01T00:00:00Z

On Symmetric Neighbors degree sum exponent matrix Nalwad, Pushpa; Swamy, Narayan; Biradar, Aditya Recently, exponent matrices have emerged as a dynamic tool for studying networks by measuring node centrality. In this work, we define a Symmetric Neighbors degree sum exponent matrix SN E(G) of a graph G whose (i, j)th entry is δδji + δδij for i ̸= j, it is zero otherwise, where δi is the Neighbors degree sum of a vertex vi in G. Inspired by the applications of Neighbors degree sum in redefining various degree based topological indices, we introduce characteristic polynomial of SN E(G), termed as Symmetric Neighbors degree sum exponent polynomial and the sum of absolute value of eigenvalue of SN E(G) matrix is called as Symmetric Neighbors degree sum exponentenergy. In this paper, we obtain the Neighbors degree sum exponent polynomial and Neighbors degree sum exponent energy of some graphs.

2026-04-01T00:00:00Z S., Surya Ramachandran, Pramada http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7236 2026-04-06T11:29:24Z 2026-04-01T00:00:00Z

Eccentricity spectra of some graph operations in regular graphs S., Surya; Ramachandran, Pramada The eccentricity matrix of a graph G is derived from its distance matrix by letting the ijᵗʰ entry be equal to the distance between two vertices i and j, if the distance is the minimum of their eccentricities and zero otherwise. The eigenvalues of the eccentricity matrix of G are called ε-eigenvalues. Its ε-spectrum is the set of εeigenvalues together with its multiplicity and ε-energy is the sum of the absolute values of the ε-eigenvalues. In this paper, we study the ε-spectra of certain operations on regular graphs. We also established some bounds on ε-energy of graphs and characterize the extreme graphs.

2026-04-01T00:00:00Z Sarma, Mrinal Mushtaq, Aadil Mongia, Annjan Mongia, Anupal http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7235 2026-04-06T11:10:31Z 2026-04-01T00:00:00Z

Fixed point analysis in quasi-partial metric spaces using w−interpolative Hardy-Rogers type contractions Sarma, Mrinal; Mushtaq, Aadil; Mongia, Annjan; Mongia, Anupal By using Interpolative Hardy-Rogers type contraction via w−admissibility approach in the framework of quasi-partial metric space, we introduce a new property that makes it convenient to investigate the existence and uniqueness of fixed point theorems.

2026-04-01T00:00:00Z