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    757 research outputs found

    Semi generalization of δI*-closed sets in ideal topological space

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    In this paper we introduce the notion of semi generalized dI*-closed sets or gsdI*-closed sets using semi open sets and investigate its basic properties and characterizations in an ideal topological space. This class of sets is properly lies between the class of dI*-closed sets and the class of g-closed sets. Also, study the relationship with various existing closed sets in ideal topological spaces. Moreover, we introduce and study the concept of maximal gsdI*-closed set

    Soft Semi*δ-continuity in Soft Topological Spaces

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    In this paper, we introduce the concept of soft semi* -continuous functions and soft semi* -irresolute functions in soft topological spaces. Also, we investigate its properties and study its relation with other soft continuous function

    Some Graph Parameters of Clique graph of Cyclic Subgroup graph on certain Non-Abelian Groups

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    The aim of this paper is to examine various graph parameters of clique graph of cyclic subgroup graph on certain non-abelian groups and also we obtain some theorems and results in detai

    A Study On The Number Of Edges Of Some Families Of Graphs And Generalized Mersenne Numbers

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    The relationship between the Nandu sequence of the SM family of graphs and the generalized Mersenne numbers is demonstrated in this study. The sequences obtained from the  peculiar number of edges   of SM family of  graphs are known as Nandu sequences. Nandu sequences are related to the two families of SM sum graphs and SM balancing graphs. The SM sum graphs are established from the inherent relationship between powers of 2 and natural numbers, whereas the SM balancing graphs are linked to the balanced ternary number system.  In addition, some unusual prime numbers are discovered in this paper. These prime numbers  best suit as an alternate for the Mersenne primes in the case of the  public key cryptosystem

    On Integer Cordial Labeling of Some Families of Graphs

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    An integer cordial labeling of a graph G(p,q)G(p,q) is an injective map f:V[p2...p2]f:V\rightarrow [-\frac{p}{2}...\frac{p}{2}]^* or [p2...p2][-\lfloor{\frac{p}{2}\rfloor}...\lfloor{\frac{p}{2}\rfloor}] as pp is even or odd, which induces an edge labeling f:E{0,1}f^*: E \rightarrow \{0,1\} defined by f(uv)=f^*(uv)={1,f(u)+f(v)00,otherwise\begin{cases}1, f(u)+f(v)\geq 0\\0,\hspace{0.1 cm}\text{otherwise}\end{cases} such that the number of edges labelled with 1 and the number of edges labelled with 0 differ at most by 1. If a graph has integer cordial labeling, then it is called integer cordial graph. In this paper, we have proved that the Banana tree, K1,nK1,mK_{1,n} \ast K_{1,m}, Olive tree, Jewel graph, Jahangir graph, Crown graph admits integer cordial labeling.

    Soft 〖"Pre" 〗^*-Generalized Continuous Functions in Soft Topological Spaces

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    The aim of this paper is to define a new class of generalized continuous functions called soft -generalized continuous functions and soft -generalized irresolute functions in soft topological spaces. We discuss several characterizations of soft -generalized continuous and irresolute functions and also investigate their relationship with other soft continuous function

    The Upper and Forcing Fault Tolerant Geodetic Number of a Graph

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    A fault tolerant geodetic  is said to be minimal fault tolerant geodetic set of  if no proper subset of  is a fault tolerant geodetic set of  is called the upper fault tolerant geodetic number of  is denoted by . Some general properties satisfied by this concept are studied. For connected graphs of order  with to be  is given. It is shown that for every pair of with , there exists a connected graph such that  and , where  is the fault tolerant geodetic number of  and  is the upper fault tolerant geodetic number of a graph. Let S be a -set of . A subset  is called a forcing subset for  if  is the unique -set containing T. A forcing subset for  of minimum cardinality is a minimum forcing subset of . The forcing fault tolerant geodetic number of S, denoted by, is the cardinality of a minimum forcing subset of . The forcing fault tolerant geodetic number of , denoted by  is , where the minimum is taken over all -sets in . The forcing fault tolerant geodetic number of some standard graphs are determined. Some of its general properties are studied. It is shown that for every pair of positive integers  and  with  and  there exists a connected graph  such that  an

    Arboricity And Span In Fuzzy Chromatic Index

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    A fuzzy matching is a set of edges in which an edge does not incident on a vertex with same membership value. If every vertex of fuzzy graph is M-Plunged then the fuzzy matching is called as fair fuzzy matching. In this chapter, fuzzy coloring and fuzzy chromatic index are defined. The concept of Arboricity and span in fuzzy chromatic index are discussed in detail. Some theorems based on these concepts are proved

    The Ahpsort II To Evaluate The High Level Instruction Performances

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    This paper aims to propose a model for ranking Italian high schools based on the several performance outputs. In order to analyze the performance of Italian public High Schools we consider the students’ school performance and their academic achievements; also the school characteristics may influence the performance evaluation of high schools, although the importance of these aspects is certainly less than the results achieved by students.Data are from Eduscopio and ScuolaInChiaro portals and refers to the 2019/20 school year. We analyze a sample of 263 high schools (HS) in all Italian Regions. For each school we consider nine outputs related to students' school and academic performance, and school characteristics. We assess the performance of high schools using a multi-criteria approach. Our analysis involves a high number of schools, so we apply the AHPSort II method which in addition to defining the ranking of schools also defines their classification. Our results show that scientific lyceums are all in the first class regardless the geographic area

    Vague Positive Implicative And Associative W-implicative Ideals Of Lattice Wajsberg Algebras

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    In this paper, we introduce the definitions of the vague positive implicative W-implicative ideal and the vague associative W-implicative ideal of lattice Wajsberg algebra. Moreover, we give the relationship between the vague associative W-implicative ideal and the vague W-implicative ideal. Furthermore, we prove that every vague positive implicative W-implicative ideal is a vague W-implicative ideal

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