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International Journal of Computer Mathematics Volume 91, 2014 - Issue 2: Numerical Methods and Mathematical Modelling in Biology, Medicine and Social Sciences
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Section B

Centralities of a network and its line graph: an analytical comparison by means of their irregularity

Regino CriadoDepartment of Applied Mathematics, University Rey Juan Carlos, 28933Móstoles, Madrid, Spain;Center for Biomedical Technology (CTB), Technical University of Madrid, 28223Pozuelo de Alarcón, Madrid, SpainCorrespondence[email protected]
,
Julio FloresDepartment of Applied Mathematics, University Rey Juan Carlos, 28933Móstoles, Madrid, Spain;Center for Biomedical Technology (CTB), Technical University of Madrid, 28223Pozuelo de Alarcón, Madrid, Spain
,
Alejandro García del AmoDepartment of Applied Mathematics, University Rey Juan Carlos, 28933Móstoles, Madrid, Spain;Center for Biomedical Technology (CTB), Technical University of Madrid, 28223Pozuelo de Alarcón, Madrid, Spain
&
Miguel RomanceDepartment of Applied Mathematics, University Rey Juan Carlos, 28933Móstoles, Madrid, Spain;Center for Biomedical Technology (CTB), Technical University of Madrid, 28223Pozuelo de Alarcón, Madrid, Spain
Pages 304-314 | Received 28 Sep 2012, Accepted 30 Mar 2013, Published online: 24 May 2013

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Matthias Ehrhardt, Lucas Jódar Sánchez & Rafael Jacinto Villanueva Micó. (2014) Numerical methods and mathematical modelling in biology, medicine and social sciences. International Journal of Computer Mathematics 91:2, pages 176-178.
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Articles from other publishers (19)

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S. Boccaletti, P. De Lellis, C.I. del Genio, K. Alfaro-Bittner, R. Criado, S. Jalan & M. Romance. (2023) The structure and dynamics of networks with higher order interactions. Physics Reports 1018, pages 1-64.
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Akbar Ali, Abeer M. Albalahi, Abdulaziz M. Alanazi, Akhlaq Ahmad Bhatti & Amjad E. Hamza. (2023) On the maximum sigma index of -cyclic graphs . Discrete Applied Mathematics 325, pages 58-62.
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Ángeles Criado-Alonso, David Aleja, Miguel Romance & Regino Criado. (2022) Derivative of a hypergraph as a tool for linguistic pattern analysis. Chaos, Solitons & Fractals 163, pages 112604.
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K. Kovalenko, M. Romance, E. Vasilyeva, D. Aleja, R. Criado, D. Musatov, A.M. Raigorodskii, J. Flores, I. Samoylenko, K. Alfaro-Bittner, M. Perc & S. Boccaletti. (2022) Vector centrality in hypergraphs. Chaos, Solitons & Fractals 162, pages 112397.
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Zeynep Nihan Berberler. (2021) Total i̇rregulari̇ty of fractal graphs. Asian-European Journal of Mathematics 15:07.
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Zainab Alsheekhhussain, Tamás Réti & Akbar Ali. (2022) Weighted Graph Irregularity Indices Defined on the Vertex Set of a Graph. Journal of Mathematics 2022, pages 1-6.
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Shamaila Yousaf, Akhlaq Ahmad Bhatti & Akbar Ali. (2022) On total irregularity index of trees with given number of segments or branching vertices. Chaos, Solitons & Fractals 157, pages 111925.
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A. Criado-Alonso, E. Battaner-Moro, D. Aleja, M. Romance & R. Criado. (2020) Using complex networks to identify patterns in specialty mathematical language: a new approach. Social Network Analysis and Mining 10:1.
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Zahid Iqbal, Muhammad Ishaq, Adnan Aslam, Muhammad Aamir & Wei Gao. (2020) The measure of irregularities of nanosheets. Open Physics 18:1, pages 419-431.
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Akbar Ali, Emina Milovanović, Marjan Matejić & Igor Milovanović. (2019) On the Upper Bounds for the Degree Deviation of Graphs. Journal of Applied Mathematics and Computing 62:1-2, pages 179-187.
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David Aleja, Regino Criado, Alejandro J. García del Amo, Ángel Pérez & Miguel Romance. (2019) Non-backtracking PageRank: From the classic model to hashimoto matrices. Chaos, Solitons & Fractals 126, pages 283-291.
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Regino Criado, Julio Flores, Esther García, Alejandro J. García del Amo, Ángel Pérez & Miguel Romance. (2019) On the -nonbacktracking centrality for complex networks: Existence and limit cases . Journal of Computational and Applied Mathematics 350, pages 35-45.
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Ali Reza Ashrafi, Ali Ghalavand & Akbar Ali. (2019) Molecular trees with the sixth, seventh and eighth minimal irregularity values. Discrete Mathematics, Algorithms and Applications 11:01, pages 1950002.
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Yuede Ma, Shujuan Cao, Yongtang Shi, Matthias Dehmer & Chengyi Xia. (2019) Nordhaus–Gaddum type results for graph irregularities. Applied Mathematics and Computation 343, pages 268-272.
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Regino Criado, Santiago Moral, Ángel Pérez & Miguel Romance. (2018) On the edges’ PageRank and line graphs. Chaos: An Interdisciplinary Journal of Nonlinear Science 28:7.
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Julio Flores & Miguel Romance. (2018) On eigenvector-like centralities for temporal networks: Discrete vs. continuous time scales. Journal of Computational and Applied Mathematics 330, pages 1041-1051.
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Regino Criado, Julio Flores, Alejandro García del Amo, Miguel Romance, Eva Barrena & Juan A. Mesa. (2016) Line graphs for a multiplex network. Chaos: An Interdisciplinary Journal of Nonlinear Science 26:6.
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