• The determinant of the adjacency matrix of cycle-power graph C4nThe determinant of the adjacency matrix of cycle-power graph C4n

    The determinant of adjacency matrix of G is det(A(G) and kth eigenvalues of the adjacency matrix is E(G; k) which are independent of the choice of vertices in adjacency matrix and are an invariant of G, respectively. In 1974 and In 1980, N. Biggs [3] and D.M. Cvetkovic et.al [5] have published about determinant of adjacency matrix of some graph...

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  • The conditions of some cayley digraphs containing hamiltonian path and hamiltonian circuitThe conditions of some cayley digraphs containing hamiltonian path and hamiltonian circuit

    Abstract For a finite semigroup S and a nonempty subset A of S the Cayley Digraph of S with respect to A, denoted by Cay(S, A) is the directed graph with vertex set S and arc set {(s, sa) | s ∈ S and a ∈ A}. For digraph D, a directed path and a directed circuit which contain every vertex of D is called a Hamiltonian path and Hamiltonian circuit...

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  • Modeling user’s interests, similarity and trustworthiness based on vectors of entries in social networksModeling user’s interests, similarity and trustworthiness based on vectors of entries in social networks

    Abstract The purpose of this paper is first to present vectorial representations of user’s entries and interests in topics in social networks. Based on such vectorization of short texts, we propose three interest measures of users. And then we investigate the relationships among interest degrees, similarity and trustworthiness of users based o...

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  • On an identity involving integer partitions sequencesOn an identity involving integer partitions sequences

    Abstract In this short note we provide an q-series identity. By the use of the new concept of integer partition sequences, we give a bijective proof of this identity based in a famous Euler partition identity involving partitions into distinct parts and partitions in odd parts.

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  • A new proof of baer-dedekind theoremA new proof of baer-dedekind theorem

    Abstract In this paper we will give a new proof of the Baer-Dedekind theorem which classifies the groups in which each subgroup is normal, using the fact that these are torsion nilpotent groups whose class is less than or equal to 2.

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  • Application of 1H DOSY NMR in Measurement of Polystyrene Molecular WeightsApplication of 1H DOSY NMR in Measurement of Polystyrene Molecular Weights

    Abstract: In this work, we studied the applicability of diffusion ordered nuclear magnetic resonance spectroscopy (DOSY NMR) as an alternative method in determination of polystyrene molecular weight. DOSY NMR spectroscopy allows measuring the diffusion coefficient of molecule which directly depend on hydrodynamic radius and so on, average molar ...

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  • Tripolar fuzzy interior ideals of semiringsTripolar fuzzy interior ideals of semirings

    Abstract In this paper, we introduce the notion of tripolar fuzzy set to be able to deal with tripolar information as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set. The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevant elements and contrary elements.We also introduce...

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  • A new algorithm for computing a root of transcendental equations using series expansionA new algorithm for computing a root of transcendental equations using series expansion

    Abstract In this paper, we discuss a new algorithm to find a non-zero real root of the transcendental equations using series expansion. This proposed method is based on the inverse series expansion, which gives a good approximate root than some other existing methods. The implementation of this algorithm is presented in Matlab and Maple. Sample...

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  • Đạo hàm theo tia cấp hai dạng hợp của ánh xạ nhiễu trong tối ưu đa trịĐạo hàm theo tia cấp hai dạng hợp của ánh xạ nhiễu trong tối ưu đa trị

    TÓM TẮT Trong bài báo này, chúng tôi nghiên cứu về tính khả vi suy rộng trong tối ưu đa trị, cụ thể là nghiên cứu về đạo hàm theo tia cấp hai dạng hợp của một ánh xạ đa trị cho trước. Xuất phát từ ý tưởng nón kề và mở rộng định nghĩa nón theo tia cấp cao trong nghiên cứu của nhóm tác giả Anh NLH và cộng sự (2011), chúng tôi giới thiệu đạo hàm t...

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  • Đồ thị lũy linh trên vành ZnĐồ thị lũy linh trên vành Zn

    SUMMARY NILPOTENT GRAPHS OF THE RINGS Zn In [4], Basnet-Sharma-Dutta introduced and studied the concept of the nilpotent graph of a finite commutative ring. In this paper, we calculate the number of connected components of the nilpotent graphs of the rings Zn. Applying this result, we characterize the connective properties and completeness of t...

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