Hassan Arianpoor

@tafreshu.ac.ir

Department of Mathematics,
Tafresh University, Tafresh 39518-79611,Iran

Hassan Arianpoor


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https://researchid.co/arianpoor

RESEARCH INTERESTS

Geometry and Topology
6

Scopus Publications

52

Scholar Citations

3

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • Independent double roman domination number of a tree in terms of its 2-independence number
    Halimeh Koulivand, Mohammad Habibi, Hassan Arianpoor, Mina Valinavaz
    Discrete Mathematics Algorithms and Applications, 2026
    Let [Formula: see text] be a simple graph. An independent double Roman dominating function (IDRDF) on a graph [Formula: see text] is a function [Formula: see text] having the property that first if [Formula: see text], then vertex [Formula: see text] has at least two neighbors assigned [Formula: see text] under [Formula: see text] or one neighbor [Formula: see text] with [Formula: see text]; second if [Formula: see text], then vertex [Formula: see text] must have at least one neighbor [Formula: see text] with [Formula: see text] and third the set of vertices assigned with positive numbers is independent. The weight of an IDRDF [Formula: see text] is equal to [Formula: see text]. The independent double Roman domination number [Formula: see text] is the minimum weight among all IDRDFs of [Formula: see text]. A subset [Formula: see text] of [Formula: see text] is a 2-independent set of [Formula: see text] if every vertex of [Formula: see text] has at most one neighbor in [Formula: see text]. The maximum cardinality of a 2-independent set of [Formula: see text] is the 2-independence number [Formula: see text]. In this paper, it is shown that both parameters are incomparable, in general. Also, we prove that if [Formula: see text] is a tree, then [Formula: see text]. Moreover, all extremal trees attaining equality are characterized.
  • Piecewise prime property of skew inverse Laurent series rings and related rings
    Kamal Paykan, Mohammad Habibi, Hassan Arianpoor
    Journal of Algebra and Its Applications, 2025
    Let [Formula: see text] be an arbitrary ring equipped with an automorphism [Formula: see text] and an [Formula: see text]-derivation [Formula: see text]. In this paper, we study on the relationship between the piecewise prime property of a ring [Formula: see text] and these of the skew inverse Laurent series ring [Formula: see text] and related rings. Furthermore, for a piecewise prime ring, we determine a large class of rings which have a generalized triangular matrix representation for which the diagonal rings are prime. Our results extend and unify many available results. Examples for illustration and delimitation of the theory are provided.
  • On generalized quasi Baer skew monoid rings
    Mohammad Habibi, Kamal Paykan, Hassan Arianpoor
    Journal of Algebra and Its Applications, 2024
    In this paper, we study generalized right (principally) quasi Baer skew monoid rings. Examples to illustrate and delimit the results are provided.
  • Chemical Applications of Some New Versions of Sombor Index
    Caspian Journal of Mathematical Sciences, 2024
  • The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter
    Amene Alidadi, , Ali Parsian, Hassan Arianpoor
    Match, 2022
    As a novel member of the class of vertex-degree-based topological indices, the so-called Sombor index was recently introduced by Gutman on the chemical graphs. In this paper, we present the minimum Sombor index for unicyclic graphs with the diameter D>_2.
  • On the lattice of principal generalized topologies
    Hassan Arianpoor
    Periodica Mathematica Hungarica, 2019

RECENT SCHOLAR PUBLICATIONS

  • Independent double roman domination number of a tree in terms of its 2-independence number
    H Koulivand, M Habibi, H Arianpoor, M Valinavaz
    Discrete Mathematics, Algorithms and Applications 18 (03), 2550047 , 2026
    2026.0
  • Piecewise prime property of skew inverse Laurent series rings and related rings
    K Paykan, M Habibi, H Arianpoor
    Journal of Algebra and Its Applications 24 (12), 2550289 , 2025
    2025.0
  • The Sombor index for unicyclic and bicyclic graphs with given (total) domination number
    A Alidadi, A Parsian, H Arianpoor
    Journal of Discrete Mathematics and Its Applications 10 (3), 293-304 , 2025
    2025.0
  • On Harary-Sombor index of graphs
    M Habibi, A Alidadi, H Arianpoor
    Communications in Combinatorics and Optimization , 2025
    2025.0
  • Chemical applications of some new versions of Sombor index
    A Alidadi, H Arianpoor, A Parsian, K Paykan
    Caspian Journal of Mathematical Sciences 13 (2), 352-367 , 2024
    2024.0
    Citations: 1
  • On generalized quasi Baer skew monoid rings
    M Habibi, K Paykan, H Arianpoor
    Journal of Algebra and Its Applications 23 (06), 2450112 , 2024
    2024.0
    Citations: 2
  • The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter
    A Alidadi, A Parsian, H Arianpoor
    MATCH Communications in Mathematical and in Computer Chemistry 88 (3), 561-572 , 2022
    2022.0
    Citations: 20
  • On the lattice of principal generalized topologies
    H Arianpoor
    Periodica Mathematica Hungarica 78 (1), 79-87 , 2019
    2019.0
    Citations: 3
  • On Generalized Injective Spaces in Generalized Topologies
    H Arianpoor
    Journal of New Researches in Mathematics(JNRM) 3 (12), 15-24 , 2017
    2017.0
  • (NON) LINEAR CONNECTIONS ON LIE ALGEBROID TANGENT BUNDLES
    H Arianpoor
    2016.0
  • Preorder relators and generalized topologies
    H Arianpoor
    Journal of Linear and Topological Algebra(JLTA) 5 (4), 271-277 , 2016
    2016.0
    Citations: 26
  • On baer type criterion for C-dense, C-closed and quasi injectivity
    H Barzegar, H Arianpoor
    Journal of Linear and Topological Algebra (JLTA) 5 (2), 105-109 , 2016
    2016.0
  • Integrable Dirac Structures on Lie Algebroids
    H Arianpoor
    8th Seminar on Geometry and Topology, 153 , 2015
    2015.0
  • A ⋆-differential calculus on functionally quantized N-space
    H Arianpoor, V Milani
    Journal of Advanced Research in Pure Mathematics 4 (2), 97-111 , 2012
    2012.0
  • The Space of Integrable Dirac Structures on Hilbert C*-Modules
    V Milani, SMH Mansourbeigi, H Arianpoor
    arXiv preprint arXiv:0908.0178 , 2009
    2009.0
  • The Sombor Index of Unicyclic Graphs with given Diameter
    A Alidadi, A Parsian, H Arianpoor

MOST CITED SCHOLAR PUBLICATIONS

  • Preorder relators and generalized topologies
    H Arianpoor
    Journal of Linear and Topological Algebra(JLTA) 5 (4), 271-277 , 2016
    2016.0
    Citations: 26
  • The Minimum Sombor Index for Unicyclic Graphs with Fixed Diameter
    A Alidadi, A Parsian, H Arianpoor
    MATCH Communications in Mathematical and in Computer Chemistry 88 (3), 561-572 , 2022
    2022.0
    Citations: 20
  • On the lattice of principal generalized topologies
    H Arianpoor
    Periodica Mathematica Hungarica 78 (1), 79-87 , 2019
    2019.0
    Citations: 3
  • On generalized quasi Baer skew monoid rings
    M Habibi, K Paykan, H Arianpoor
    Journal of Algebra and Its Applications 23 (06), 2450112 , 2024
    2024.0
    Citations: 2
  • Chemical applications of some new versions of Sombor index
    A Alidadi, H Arianpoor, A Parsian, K Paykan
    Caspian Journal of Mathematical Sciences 13 (2), 352-367 , 2024
    2024.0
    Citations: 1
  • Independent double roman domination number of a tree in terms of its 2-independence number
    H Koulivand, M Habibi, H Arianpoor, M Valinavaz
    Discrete Mathematics, Algorithms and Applications 18 (03), 2550047 , 2026
    2026.0
  • Piecewise prime property of skew inverse Laurent series rings and related rings
    K Paykan, M Habibi, H Arianpoor
    Journal of Algebra and Its Applications 24 (12), 2550289 , 2025
    2025.0
  • The Sombor index for unicyclic and bicyclic graphs with given (total) domination number
    A Alidadi, A Parsian, H Arianpoor
    Journal of Discrete Mathematics and Its Applications 10 (3), 293-304 , 2025
    2025.0
  • On Harary-Sombor index of graphs
    M Habibi, A Alidadi, H Arianpoor
    Communications in Combinatorics and Optimization , 2025
    2025.0
  • On Generalized Injective Spaces in Generalized Topologies
    H Arianpoor
    Journal of New Researches in Mathematics(JNRM) 3 (12), 15-24 , 2017
    2017.0
  • (NON) LINEAR CONNECTIONS ON LIE ALGEBROID TANGENT BUNDLES
    H Arianpoor
    2016.0
  • On baer type criterion for C-dense, C-closed and quasi injectivity
    H Barzegar, H Arianpoor
    Journal of Linear and Topological Algebra (JLTA) 5 (2), 105-109 , 2016
    2016.0
  • Integrable Dirac Structures on Lie Algebroids
    H Arianpoor
    8th Seminar on Geometry and Topology, 153 , 2015
    2015.0
  • A ⋆-differential calculus on functionally quantized N-space
    H Arianpoor, V Milani
    Journal of Advanced Research in Pure Mathematics 4 (2), 97-111 , 2012
    2012.0
  • The Space of Integrable Dirac Structures on Hilbert C*-Modules
    V Milani, SMH Mansourbeigi, H Arianpoor
    arXiv preprint arXiv:0908.0178 , 2009
    2009.0
  • The Sombor Index of Unicyclic Graphs with given Diameter
    A Alidadi, A Parsian, H Arianpoor