Nonplanarity of unit graphs and classification of the toroidal ones (original) (raw)

Unit Graphs Associated with Rings

hamidreza maimani

Communications in Algebra, 2010

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On the Unit Graph of a Noncommutative Ring

Ehsan Estaji

arXiv preprint arXiv:1108.2863, 2011

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Classification of Rings with Toroidal and Projective Coannihilator Graph

Nadeem Ur Rehman

Journal of Mathematics

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On the Associated Graphs to a Commutative Ring

kazem khashyarmanesh

Journal of Algebra and Its Applications, 2012

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Classification of rings with unit graphs having domination number less than four

hamidreza maimani

Rendiconti del Seminario Matematico della Università di Padova, 2015

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Unit graphs of rings of polynomials and power series

Mojgan Afkhami

Arabian Journal of Mathematics, 2013

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A generalization of the unit and unitary Cayley graphs of a commutative ring

kazem khashyarmanesh

Acta Mathematica Hungarica, 2012

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Unity Product Graph of Some Commutative Rings

Ibrahim Gambo

2021

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Classification of finite commutative rings with planar, toroidal, and projective line graphs associated with Jacobson graphs

kazem khashyarmanesh

Mathematical Notes, 2015

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Graphs Attached to Rings Revisited

hamidreza maimani

Arabian Journal for Science and Engineering, 2011

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Classification of rings with toroidal annihilating-ideal graph

Selvakumar krishnan

2018

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ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT, Journal of Algebra and Its Applications (JAA), Vol. 11(4), (2012). DOI : https://doi.org/10.1142/S0219498812500740

Ayman Badawi

2012

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Structure in Zero-Divisor Graphs of Commutative Rings

Latha Chokkalingam

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On r-Noncommuting Graph of Finite Rings

Monalisha Sharma

Axioms

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On the Total Graph of a Ring and Its Related Graphs: A Survey, In Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions, DOI 10.1007/978-1-4939-0925-4__3, edited by M. Fontana et al. (eds.),, 39-54. New York: Springer, 2014.

Ayman Badawi

2014

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R A ] 2 4 Ju l 2 01 9 On r-noncommuting graph of finite rings

Monalisha Sharma

2019

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A Note on Comaximal Graph of Non-commutative Rings

jaydeep parejiya

Algebras and Representation Theory

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Total Graphs Associated to a Commutative Ring

Khalida Nazzal

2016

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A generalization of zero divisor graphs associated to commutative rings

kazem khashyarmanesh

Proceedings - Mathematical Sciences, 2018

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On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring

WALWENDA ADERO

2016

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On the total graph and its complement of a commutative ring

Tamizh Chelvam T

Communications in Algebra, 2013

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A new graph associated to a commutative ring

jafar amjadi

Discrete Mathematics, Algorithms and Applications, 2016

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Co-maximal graph of non-commutative rings

jaydeep parejiya

Linear Algebra and Its Applications, 2009

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On the Dot Product Graph of a Commutative Ring II

Ayman Badawi

International Electronic Journal of Algebra

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On the Structure of Comaximal Graphs of Commutative Rings with Identity

Zoran Petrovic

Bulletin of the Australian Mathematical Society, 2010

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Co-unit graphs associated to ring of integers modulo n

Aaqib Altaf

Acta Universitatis Sapientiae, Mathematica

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On zero-divisor graphs of quotient rings and complemented zero-divisor graphs

reza Beyranvand

Journal of Algebra and Related Topics, 2016

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Comaximal graph of commutative rings

Maryam Salimi

Journal of Algebra, 2008

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THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING," Journal of Algebra and Its Application (JAA), .Vol. 12, No. 5 (2013). DOI: 10.1142/S021949881250212X

Ayman Badawi

2013

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Unit-graphs and special unit-digraphs on matrix rings

Yeşim Demiroğlu Karabulut

Forum Mathematicum, 2018

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Rings whose total graphs have genus at most one

Cameron Wickham

Rocky Mountain Journal of Mathematics, 2012

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