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Communications in Algebra Volume 43, 2015 - Issue 7
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Original Articles

Planar, Toroidal, and Projective Commuting and Noncommuting Graphs

M. Afkhami Department of Mathematics, University of Neyshabur, Neyshabur, Iran; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
,
M. Farrokhi D. G. Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
&
K. Khashyarmanesh Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, IranCorrespondence[email protected]
Pages 2964-2970 | Received 06 Jul 2013, Published online: 04 Jun 2015

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Xuanlong Ma, Gary L. Walls & Kaishun Wang. (2019) Power graphs of (non)orientable genus two. Communications in Algebra 47:1, pages 276-288.
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Articles from other publishers (18)

Parthajit Bhowal, Peter J. Cameron, Rajat Kanti Nath & Benjamin Sambale. (2024) Genus and crosscap of solvable conjugacy class graphs of finite groups. Archiv der Mathematik 122:5, pages 475-489.
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Walaa Nabil Taha Fasfous & Rajat Kanti Nath. (2023) Inequalities involving energy and Laplacian energy of non-commuting graphs of finite groups. Indian Journal of Pure and Applied Mathematics.
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Parveen & Jitender Kumar. (2023) Nilpotent groups whose difference graphs have positive genus. Ricerche di Matematica.
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Jharna Kalita & Somnath Paul. (2022) On the spectra of non-commuting graphs of certain class of groups. Asian-European Journal of Mathematics 16:05.
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Julio C. M. Pezzott. (2021) Groups whose non-commuting graph on a transversal is planar or toroidal. Journal of Algebra and Its Applications 21:10.
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Parthajit Bhowal, Deiborlang Nongsiang & Rajat Kanti Nath. (2022) Non-Solvable Graphs of Groups. Bulletin of the Malaysian Mathematical Sciences Society 45:3, pages 1255-1272.
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J. C. M. Pezzott. (2022) Double-toroidal and 1-planar non-commuting graph of a group. Algebra and Discrete Mathematics 34:1, pages 132-140.
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Monalisha Sharma, Rajat Kanti Nath & Yilun Shang. (2021) On g-Noncommuting Graph of a Finite Group Relative to Its Subgroups. Mathematics 9:23, pages 3147.
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Subarsha Banerjee. (2021) The metric dimension & distance spectrum of non-commuting graph of dihedral group. Discrete Mathematics, Algorithms and Applications 13:06.
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Rajat Kanti Nath, Monalisha Sharma, Parama Dutta & Yilun Shang. (2021) On r-Noncommuting Graph of Finite Rings. Axioms 10:3, pages 233.
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Rajat Kanti Nath, Walaa Nabil Taha Fasfous, Kinkar Chandra Das & Yilun Shang. (2021) Common Neighborhood Energy of Commuting Graphs of Finite Groups. Symmetry 13:9, pages 1651.
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Parama Dutta & Rajat Kanti Nath. (2021) Various energies of commuting graphs of some super integral groups. Indian Journal of Pure and Applied Mathematics 52:1, pages 1-10.
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W. N. T. Fasfous, R. Sharafdini & R. K. Nath. (2021) Common neighborhood spectrum of commuting graphs of finite groups. Algebra and Discrete Mathematics 32:1, pages 33-48.
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Parthajit BHOWAL, Deiborlang NONGSİANG & Rajat NATH. (2020) Solvable graphs of finite groups. Hacettepe Journal of Mathematics and Statistics 49:6, pages 1955-1964.
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T. Anitha & R. Rajkumar. (2019) Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs. Journal of Algebra and Its Applications 19:05, pages 2050099.
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Mahboube Nasiri, Ahmad Erfanian & Abbas Mohammadian. (2018) Connectivity and planarity of g-noncommuting graph of finite groups. Journal of Algebra and Its Applications 17:06, pages 1850107.
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Parama Dutta, Jutirekha Dutta & Rajat Kanti Nath. (2018) Laplacian Spectrum of Non-Commuting Graphs of Finite Groups. Indian Journal of Pure and Applied Mathematics 49:2, pages 205-216.
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MICHAEL GIUDICI & BOJAN KUZMA. (2016) REALIZABILITY PROBLEM FOR COMMUTING GRAPHS. Journal of the Australian Mathematical Society 101:3, pages 335-355.
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