On the arithmetic of graphs (original) (raw)

Remarks about the Arithmetic of Graphs

Oliver Knill

arXiv (Cornell University), 2021

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Graph products and characterization by rings

Martín Eduardo Frías Armenta

Boletín de la Sociedad Matemática Mexicana, 2016

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The strong ring of simplicial complexes

Oliver Knill

arXiv (Cornell University), 2017

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Graphs Attached to Rings Revisited

hamidreza maimani

Arabian Journal for Science and Engineering, 2011

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Structure Graphs of Rings: Definitions and First Results

Aleksandar T Lipkovski

Journal of Mathematical Sciences, 2017

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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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On the Associated Graphs to a Commutative Ring

kazem khashyarmanesh

Journal of Algebra and Its Applications, 2012

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A new graph associated to a commutative ring

jafar amjadi

Discrete Mathematics, Algorithms and Applications, 2016

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Structure in Zero-Divisor Graphs of Commutative Rings

Latha Chokkalingam

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Algebras associated to directed acyclic graphs

Vladimir Retakh

arXiv (Cornell University), 2007

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Structural properties of the graph algebra

David Nacin

Journal of Pure and Applied Algebra, 2008

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Algebras associated to acyclic directed graphs

Vladimir Retakh

Advances in Applied Mathematics, 2009

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ON THE DOT PRODUCT GRAPH OF A COMMUTATIVE RING, Communications in Algebra 43, no. 1 (2015): 43-50. doi: 10.1080/00927872.2014.897188.

Ayman Badawi

2015

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Ring-magic labelings of graphs

Wai Shiu

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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On the total graph and its complement of a commutative ring

Tamizh Chelvam T

Communications in Algebra, 2013

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Total Graphs Associated to a Commutative Ring

Khalida Nazzal

2016

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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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On the Dot Product Graph of a Commutative Ring

Ayman Badawi

Communications in Algebra, 2014

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On a class of algebras associated to directed graphs

shirlei serconek

2005

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The Integral Closure of Subrings Associated to Graphs

Wolmer Vasconcelos

Journal of Algebra, 1998

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Algebraic structures on graph associahedra

Maria Ronco

Journal of the London Mathematical Society

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Projective total graphs of commutative rings

kazem khashyarmanesh

Rocky Mountain Journal of Mathematics, 2013

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A Note on Comaximal Graph of Non-commutative Rings

jaydeep parejiya

Algebras and Representation Theory

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The Generalized Total Graph of a Commutative Ring

Ayman Badawi

Journal of Algebra and Its Applications, 2013

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On Some Total Graphs on Finite Rings

ahmad abbasi

2022

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Prime Graph over Cartesian Product over Rings and Its Complement

Vira Hari Krisnawati

JTAM (Jurnal Teori dan Aplikasi Matematika)

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An association between digraphs and rings

Aleksandar T Lipkovski

Filomat

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The total graph of a commutative ring," Journal of Algebra 320 (2008) 2706–2719

Ayman Badawi

2008

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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 Primes, Graphs and Cohomology

Oliver Knill

arXiv (Cornell University), 2016

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On Properties of Prime Ideal Graphs of Commutative Rings

ahmad muchlas abrar

BAREKENG: Jurnal Ilmu Matematika dan Terapan

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Spectra of the zero-divisor graph of finite rings

Krishnat Masalkar

2021

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Unity Product Graph of Some Commutative Rings

Ibrahim Gambo

2021

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Quasi-Regular Graphs Associated with Commutative Rings

Nasr Zeyada

Journal of Mathematics

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