• Harmonic Mean Cordial labeling in the scenario of duplicating graph elements 

  Gandhi, Harsh; Parejiya, Jaydeep; Jariya, Mahesh M. (Işık University Press, 2025-06-01)

  All the graphs considered in this article are simple and undirected. Let G = (V (G), E(G)) be a simple undirected Graph. A function f : V (G) → {1, 2} is called Harmonic Mean Cordial if the induced function f*: E(G) → {1, ...

• Characterization of Pythagorean fuzzy k-ideals in Γ-semirings 

  Anitha, T.; Lavanya, Y. (Işık University Press, 2025-06-01)

  In this paper, we introduce the algebraic structures of Pythagorean fuzzy set in Γ semirings. Moreover we characteristics some interesting properties, results.

• The novel Bessel–Maitland function involving some characteristic properties and integral transforms 

  Khan, Nabiullah; Sk, Rakibul (Işık University Press, 2025-06-01)

  Inspired by certain recent generalizations of the Bessel-Maitland function in this paper, we introduce a new extension of the Bessel-Maitland function associated with the beta function. Some of its characteristic properties ...

• Extracting triple connected certified domination number for the strong product of paths and cycles 

  Mahadevan, G.; Selvam, Kaviya; Sivagnanam, C. (Işık University Press, 2025-06-01)

  A dominating set S of a graph G is said to be a triple connected certified dominating set (TCCD - set) if for every vertex v ∈ S, | N(v) ∩ (V − S) | ≠ 1 and ⟨S⟩ is triple connected. The minimum cardinality of a TCCD - set ...

• Solvability of an inverse coefficient problem for a time-fractional diffusion equation with periodic boundary and integral overdetermination conditions 

  Jamolovich, Jonibek Jumaev; Kalandarovich, Durdimurod Durdiev; Ravshanovich, Zavqiddin Bozorov (Işık University Press, 2025-06-01)

  This article studies the inverse problem for time-fractional diffusion equations with periodic boundary and integral overdetermination conditions on the rectangular domain. First, we introduce a definition of a classical ...

• Nano topology induced by graphs 

  Ibrahim, Nechirvan Badal; Khalaf, Alias Barakat (Işık University Press, 2025-06-01)

  The aim of this paper is to introduce new subgraph types related to given subgraphs of a graph G. Specifically, these are termed c-subgraph, i-subgraph, and bsubgraph of a subgraph H from G, denoted as cH, iH, and bH, ...

• Resistance distance in k-coalescence of certain graphs 

  Haritha, T.; Chithra, A. Velu (Işık University Press, 2025-06-01)

  Any graph can be considered as a network of resistors, each of which has a resistance of 1Ω. The resistance distance rij between a pair of vertices i and j in a graph is defined as the effective resistance between i and ...

• Root square mean labeling of arrow graphs with encoding and decoding 

  Christy, T.; Palani, G. (Işık University Press, 2025-06-01)

  A graph G with p vertices and q edges is called a Root Square mean labeling if it is possible to label the vertices x ∈ v with distinct labels ρ(x) from 1, 2, · · · , q + 1 in such a way that each edge e = ab is labeled ...

• Central star decomposition of complete graphs 

  Caay, Mark Lantaca; Maza, Rodolfo Erodias (Işık University Press, 2025-06-01)

  In this paper, we define the central star decomposition of graphs and show that the oriented graphs correspond to central star decomposition of a simple graph and vice versa.

• Probabilistic insights into spatio-temporal garch model with location-dependent parameters 

  Aouri, Atika; Boukelou, Mohamed; Kharfouchi, Soumia (Işık University Press, 2025-06-01)

  Spatial data analysis is a burgeoning field with applications ranging across ecology, finance and environmental studies, among others. Particularly, the intersection of space and time in phenomena such as environmental ...

• Existence of solution for impulsive fractional qr-difference equation of implicit form with nonlocal boundary condition 

  Kachari, Pankita; Borah, Jayanta; Hazarika, Bipan (Işık University Press, 2025-06-01)

  This study examines the conditions needed for the existence of solutions to an impulsive fractional qr-difference equation with the implicit form. The fractional derivative we analyze in the problem is of the Caputo type, ...

• Regularized gap functions for p-strongly monotone variational-hemivariational inequalities and applications to global error bounds 

  Tam, Vo Minh; Cuong, Nguyen Duy; Hien, Nguyen Ngoc; Hieu, Doan Huu (Işık University Press, 2025-06-01)

  The paper studies regularized gap functions for a general class of elliptic variational–hemivariational inequalities by employing the sum rule of Clarke’s generalized directional derivatives. We first devote regularized ...

• Coincidence points in b-metric spaces via l-simulation functions and digraphs 

  Mohanta, Sushanta Kumar (Işık University Press, 2025-06-01)

  The study of fixed point theory combining digraphs and L-simulation functions is a new development in the domain of contractive type single valued theory. In this paper, we introduce the notion of a generalized LG- contraction ...

• A study on maximum cardinality r-L(2, 1)-labelling problem on circular-arc graph and its application 

  Patra, Nupur; Amanathulla, Sk; Mondal, Sukumar; Pal, Madhumangal (Işık University Press, 2025-06-01)

  Graph labelling is one of the most applicable problem in graph theory, often applied to solve real-world challenges. This article explores a range of L(2, 1)-labelling problems (L21LPs), specifically focusing on the r-L21LP ...

• On Italian domination number of unary operations of special graphs 

  Prakash, Amritha; Ragukumar, Pandurangan (Işık University Press, 2025-06-01)

  For a graph G = (V, E), an Italian dominating function (IDF) f : V → {0, 1, 2} has the property that for every vertex v ∈ V with f(v) = 0, either v is adjacent to a vertex assigned 2 under f, or v is adjacent to at least ...

• Completeness and compactness in type-2 fuzzy metric spaces 

  Samanta, Upasana (Işık University Press, 2025-06-01)

  In this paper completeness and compactness in type-2 fuzzy metric spaces are studied. Cantor’s intersection theorem characterizing the completeness of a type-2 fuzzy metric space is proved. Baire’s category theorem is also ...

• Claw-decomposition of the Kneser graph KGn,3 

  Sankari, C.; Sangeetha, R.; Arthi, K. (Işık University Press, 2025-06-01)

  The Kneser graph KGn,3 is the graph whose vertices are the 3-element subsets of n-elements, in which two vertices are adjacent if and only if their intersection is empty. A claw is a star with three edges. In this paper, ...

• An efficient solution for interval valued Trapezoidal Fuzzy Bounded Variable Problem and its real life application 

  Yuvashri, P.; Saraswathi, Appasamy; Edalatpanah, Seyyed Ahmad (Işık University Press, 2025-06-01)

  In this research examined a completely fuzzy Interval valued Trapezoidal Bounded Variable Linear Programming Problem (FFIVBVLPP) where all the parameters of objective functions, and resource vector decision variables are ...

• Mathematical model on Covid-19 transmission with absence and presence of second dose of vaccination in Turkey 

  Sharma, Gaurang; Sharma, Amit; Parmar, Nishant (Işık University Press, 2025-06-01)

  In this paper, we have explored COVID-19 transmission dynamics with vaccination drive in Turkey. The present study elaborates the impact of vaccination drives to prevent infection transmission among Turkish people. The ...

• Sombor index of fuzzy graph 

  Some, Biswajit; Pal, Anita (Işık University Press, 2025-06-01)

  Topological indices (TI) play a crucial role across various research domains, including network theory, spectral graph theory, and molecular chemistry. These indices are created primarily in the context of crisp graphs, ...

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