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Communications in Algebra Volume 35, 2007 - Issue 7
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Original Articles

Noncyclic Graph of a Group

A. Abdollahi Department of Mathematics, University of Isfahan, Isfahan, IranCorrespondence[email protected]
&
A. Mohammadi Hassanabadi Department of Mathematics, University of Isfahan, Isfahan, Iran
Pages 2057-2081 | Received 03 Oct 2005, Published online: 11 Jun 2007

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Daniel Costa, Veronica Davis, Kenneth Gill, Gerhardt Hinkle & Les Reid. (2018) Eulerian properties of non-commuting and non-cyclic graphs of finite groups. Communications in Algebra 46:6, pages 2659-2665.
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K. Selvakumar & M. Subajini. (2016) Crosscap of the non-cyclic graph of groups. AKCE International Journal of Graphs and Combinatorics 13:3, pages 235-240.
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Adeleh Abdolghafourian & MohammadA. Iranmanesh. (2015) Divisibility Graph for Symmetric and Alternating Groups. Communications in Algebra 43:7, pages 2852-2862.
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Alireza Abdollahi & Mohammad Zarrin. (2010) Non-Nilpotent Graph of a Group. Communications in Algebra 38:12, pages 4390-4403.
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Peter J. Cameron. What can graphs and algebraic structures say to each other?. AKCE International Journal of Graphs and Combinatorics 0:0, pages 1-6.
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Articles from other publishers (22)

Sandeep Dalal, Jitender Kumar & Siddharth Singh. (2023) On the clique number and independence number of the cyclic graph of a semigroup. Journal of Algebra and Its Applications 23:05.
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Mansoureh Mahtabi, Ahmad Erfanian & Robabeh Mahtabi. (2023) A bipartite graph associated to a finite group. Asian-European Journal of Mathematics 16:10.
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Shi Wujie. (2023) Quantitative characterization of finite simple groups. SCIENTIA SINICA Mathematica 53:7, pages 931.
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YASUTSUGU FUJITA & MAOHUA LE. (2023) A NOTE ON THE GOORMAGHTIGH EQUATION CONCERNING DIFFERENCE SETS. Bulletin of the Australian Mathematical Society, pages 1-10.
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Ohood Ayyed Hadi & Hayder Baqer Shelash. Relation between cyclicity degree and cyclic graph of dihedral group D2n. Relation between cyclicity degree and cyclic graph of dihedral group D2n.
Ohood Ayyed Hadi & Hayder Baqer Shelash. Finite groups with the probability of parameters. Finite groups with the probability of parameters.
Sudip Bera & Hiranya Kishore Dey. (2022) On the proper enhanced power graphs of finite nilpotent groups. Journal of Group Theory 0:0.
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Mattia Brescia & Alessio Russo. (2022) On Groups in Which Many Automorphisms Are Cyclic. Mathematics 10:2, pages 262.
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A G Syarifudin, I G A W Wardhana, N W Switrayni & Q Aini. (2021) The Clique Numbers and Chromatic Numbers of The Coprime Graph of a Dihedral Group. IOP Conference Series: Materials Science and Engineering 1115:1, pages 012083.
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X. Ma & H. Su. (2020) Finite groups whose noncyclic graphs have positive genus. Acta Mathematica Hungarica 162:2, pages 618-632.
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A Adrianda & Y Yanita. (2020) The first fundamental group of Kronecker quaternion group. Journal of Physics: Conference Series 1524:1, pages 012039.
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Xuanlong Ma, Gary L. Walls & Kaishun Wang. (2019) Finite groups with star-free noncyclic graphs. Open Mathematics 17:1, pages 906-912.
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E. Vatandoost & Y. Golkhandypour. (2019) On the non-cyclic graph of a group. Discrete Mathematics, Algorithms and Applications 11:01, pages 1950006.
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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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A. Hamzeh & A.R. Ashrafi. (2017) Automorphism groups of supergraphs of the power graph of a finite group. European Journal of Combinatorics 60, pages 82-88.
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R. Rajkumar & P. Devi. (2016) Permutability graphs of subgroups of some finite non-abelian groups. Discrete Mathematics, Algorithms and Applications 08:03, pages 1650047.
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R. Rajkumar & P. Devi. (2015) On permutability graphs of subgroups of groups. Discrete Mathematics, Algorithms and Applications 07:02, pages 1550012.
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M. FARROKHI D. G., A. ERFANIAN & B. TOLUE. (2013) NON-NORMAL GRAPHS OF FINITE GROUPS. Journal of Algebra and Its Applications 12:04, pages 1250193.
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Xuan Long Ma, Hua Quan Wei & Guo Zhong. (2013) The Cyclic Graph of a Finite Group. Algebra 2013, pages 1-7.
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B. TOLUE & A. ERFANIAN. (2012) RELATIVE NON-COMMUTING GRAPH OF A FINITE GROUP. Journal of Algebra and Its Applications 12:02, pages 1250157.
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A. ABDOLLAHI & A. MOHAMMADI HASSANABADI. (2011) NON-CYCLIC GRAPH ASSOCIATED WITH A GROUP. Journal of Algebra and Its Applications 08:02, pages 243-257.
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A. IRANMANESH & A. JAFARZADEH. (2011) ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS. Journal of Algebra and Its Applications 07:01, pages 129-146.
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