• Open Packing Number of Triangular Snakes 

  Vaidya, S.K.; Parmar, A.D. (The International J. Mathematical Combinatorics, 2019)

  A set S ⊆ V (G) of vertices in a graph G is called a packing of G if the closed neighborhood of the vertices of S are pairwise disjoint in G. A subset S of V (G) is called an open packing of G if the open neighborhood ...
• Application of Graph Theory in Various Field of Applied Science & Engineering 

  Teraiya, O. M. (Journal of Emerging Technology and Innovative Research, 2019)

  In this paper, the research has been focus on application of graph theory in various field of Science & Engineering like Chemistry in Caterpillar Trees, Time Table Scheduling in Academics, Communication Network and Computer ...
• Sub-Restrained Perfect Domination In Graphs 

  Bhatt, Tushhar (Educational Administration: Theory and Practice, 2024)

  et 𝐺=(𝑉(𝐺),𝐸(𝐺))be a connected graph. Let 𝑀⊆𝑉(𝐺)be a minimum perfect dominating set and 𝑇⊆𝑉(𝐺)\𝑀is said to be sub-restrained perfect dominating setof Gif every 𝑣∈𝑉(𝐺)∖𝑇such that|𝑁(𝑣)∩𝑇|=1. The ...
• SOME PPF DEPENDENT FIXED POINT RESULTS FOR PREŠIĆ-HARDY-ROGERS CONTRACTIONS 

  Swami, Monika (Advances and Applications in Mathematical Sciences, 2023-04)

  In this article, we develop some PPF dependent fixed point results for nonself mapping in Metric spaces for Prešić-Hardy-Rogers contraction, which is generalization of Prešić type contraction, where the domain space abstract ...
• Some New Results on Energy of Graphs with Self Loops 

  Popat, Kalpesh; Shingala, Kunal (Journal of Mathematical Chemistry, 2023)

  The graph Gσ is obtained from graph G by attaching self loops on σ vertices. The energy E(Gσ) of the graph Gσ with order n and eigenvalues λ1, λ2, . . . , λn is defined as E(Gσ) = Xn i=1 λi −σ/n.It has been proved that ...
• Best Proximity Point for Generalized Rational \alpha_s Proximal Contraction 

  Duhan, Amit; Kumar, Manoj; Rathee, Savita; Swami, Monika (Journal of Harbin Engineering University, 2023)

  Best proximity point problem in S-M(S-metric) spaces is thought to be a generalization of a G- metric spaces. In this study, we provide proof a best proximity points theorem of αs−Proximal mapping admissible and its several ...
• A Study on The Gamma Graph of Cycle C3K+1 

  Iassc, Rakhimol; Bhatt, Krupali (Journal of Computational Mathematica, 2023)

  For a graph G = (V, E), a set S ⊆ V is a dominating set if every vertex in V − S is adjacent to at least one vertex in S. The domination number γ(G) of G equals the minimum cardinality of a dominating set in G. A dominating ...
• Some fixed point results for nonlinear F-typecontractions in strong partial b-metric spaces 

  Swami, Monika (TAMKANG JOURNAL OF MATHEMATICS, 2024)

  In this article, we demonstrate some fixed point results that generalisesthe Banach contraction principle in a different way from the previously establishedliterature findings. We provide some fixed point findings ...
• ON LOWER BOUND TREES FOR THE RADIO NUMBER 

  Vasoya, Payal (South East Asian Journal of Mathematics and Mathematical Sciences, 2022)

  A radio labeling of a graph $G$ is a function $f$ from the set of vertices $V(G)$ to the set of non-negative integers such that $|f(u)-f(v)|\geq \diam(G) + 1 - d(u,v)$ for every pair of distinct vertices $u,v$ of $G$. The ...
• Fixed point theorems with PPF dependence in strong partial b-metric spaces 

  Rathee, Savita; Swami, Monika; Kumari, Neelam (TAMKANG JOURNAL OF MATHEMATICS, 2024)

  In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space C[[a, b], E] is distinct from the range space, E, which is a Strong Partial b-metric space (SPbMS). We obtain ...
• SOME PPF DEPENDENT FIXED POINT RESULTS FOR PREŠIĆ-HARDY-ROGERS CONTRACTIONS 

  RATHEE, S.,; KUMARI, N; SWAMI, M. (Advances and Applications in Mathematical Sciences, 2023)

  In this article, we develop some PPF dependent fixed point results for nonself mapping in Metric spaces for Prešić-Hardy-Rogers contraction, which is generalization of Prešić type contraction, where the domain space abstract ...
• Best Proximity Point for G-Generalized ζ − β − T Contraction 

  Duhan, A; Kumar, M; Rathee, S; Swami, M (International Journal of Analysis and Applications, 2023)

  In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify the existence and uniqueness of the best proximity point in the complete G metric space using the ...
• Algorithm for finite family of variational inequality with fixed point of two non-expansive mappings 

  Swami, M.,; Rathee, S (Tamkang Journal of Mathematics, 2021)

  In the recent work, a new hybrid technique for computing the common solution of fixed point of a finite family of two non-expansive mapping and variational inequality problem for inverse strongly monotone mapping in a real ...
• ON SOLVING VARIATIONAL INEQUALITY FOR SM-ITERATION 

  Rathee, S; Swami, M. (J. Math. Comput. Sci, 2021)

  The fundamental motivation behind this paper is to solve variational inequality for SM-iterative method under some gentle conditions. We focus on calculating the common results of variational inequality and of SM-iteration. ...
• STRONG CONVERGENCE OF A HYBRID METHOD FOR INFINITE FAMILY OF NONEXPANSIVE MAPPING AND VARIATIONAL INEQUALITY 

  Rathee, S.,; Swami, M. (Journal of the Indonesian Mathematical Society, 2021)

  The motivation behind this paper is to use hybrid method for searching a typical component of the set of fixed points of an infinite family of nonexpansive mappings and the set of monotone, Lipschtiz continuous variational ...
• Quadruple g-best Proximity Point for New Contraction in Complete Metric Space 

  Rathee, S; Swami, M. (European Journal of Pure and Applied Mathematics, 2022)

  The aim of this manuscript is to propose a contraction to pursue the existence of quadruple best proximity point results. The finding of this manuscript generalize and unify the results of Rohen and Mlaiki by using the new ...
• Composite Weiner Hopf Equation with Variational Inequality and Equilibrium Problem 

  Rathee, S; Swami, M. (Communications in Mathematics and Applications, 2021)

  In this paper, we introduce an iteration based on composite Weiner-Hopf equation technique to find the common solution of the set of solution of composite generalized variational inequality, set of equilibrium problem and ...
• CONVERGENCE RATE OF VARIOUS ITERATIONS WITH SM-ITERATION FOR CONTINUOUS FUNCTION 

  Rathee, S.,; Swami, M. (J. Math. Comput. Sci.,, 2020)

  In the present paper, we propose a new iteration process named as SM-iteration and compare its rate of convergence with the already existing iterations such as CR, S, Abbas, Thakur for different type of functions with the ...
• Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem 

  Rathee, S; Swami, M. (AIMS Mathematics, 2022)

  The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of ...
• "Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem" 

  Rathee, S.; Swami, M. (AIMS Mathematics, 2022)

  The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of ...

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