Shigeru Arimoto

463 total citations
39 papers, 370 citations indexed

About

Shigeru Arimoto is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Organic Chemistry. According to data from OpenAlex, Shigeru Arimoto has authored 39 papers receiving a total of 370 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 11 papers in Computational Theory and Mathematics and 10 papers in Organic Chemistry. Recurrent topics in Shigeru Arimoto's work include Graph theory and applications (18 papers), Computational Drug Discovery Methods (8 papers) and Advanced Mathematical Theories and Applications (6 papers). Shigeru Arimoto is often cited by papers focused on Graph theory and applications (18 papers), Computational Drug Discovery Methods (8 papers) and Advanced Mathematical Theories and Applications (6 papers). Shigeru Arimoto collaborates with scholars based in Canada, Japan and France. Shigeru Arimoto's co-authors include Keith F. Taylor, Paul G. Mezey, Kenichi Fukui, Mark Spivakovsky, G. G. Hall, Rob Zuidwijk, Hiromu Ohno, Tokio Yamabe, Massoud Amini and Eiji Yoshida and has published in prestigious journals such as Physics Letters A, International Journal of Quantum Chemistry and SIAM Journal on Matrix Analysis and Applications.

In The Last Decade

Shigeru Arimoto

37 papers receiving 346 citations

Peers

Shigeru Arimoto

CTM

SNP

Wolfgang Müller Austria

Harold Chapman Brown United States

Muhammad Ahsan Binyamin Pakistan

R Brak Australia

Zahid Raza United Arab Emirates

Norbert Peyerimhoff United Kingdom

G. Pólya United States

Huijia Zhu United States

Mark Spivakovsky France

Weigen Yan China

Wolfgang Müller Austria

Shigeru Arimoto

257 ×1.5

131 ×1.1

206 ×1.8

CTM

38 ×0.5

25 ×0.3

SNP

Citations per year, relative to Shigeru Arimoto Shigeru Arimoto (= 1×) peers Wolfgang Müller

Countries citing papers authored by Shigeru Arimoto

Since Specialization

Citations

This map shows the geographic impact of Shigeru Arimoto's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Shigeru Arimoto with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Shigeru Arimoto more than expected).

Fields of papers citing papers by Shigeru Arimoto

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shigeru Arimoto. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Shigeru Arimoto. The network helps show where Shigeru Arimoto may publish in the future.

Co-authorship network of co-authors of Shigeru Arimoto

This figure shows the co-authorship network connecting the top 25 collaborators of Shigeru Arimoto. A scholar is included among the top collaborators of Shigeru Arimoto based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Shigeru Arimoto. Shigeru Arimoto is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Arimoto, Shigeru. (2011). Tsuyama-castle Function and Matrix Art. 1–5.

Arimoto, Shigeru, Mark Spivakovsky, Eiji Yoshida, Keith F. Taylor, & Paul G. Mezey. (2011). Proof of the Fukui conjecture via resolution of singularities and related methods. V. Journal of Mathematical Chemistry. 49(8). 1700–1712. 3 indexed citations

Arimoto, Shigeru. (2010). The Second Generation Fukui Project and a New Application of the Asymptotic Linearity Theorem. 49–56.

Arimoto, Shigeru. (2010). Fundamental notions for the second generation Fukui project and a prototypal problem of the normed repeat space and its super spaces. Journal of Mathematical Chemistry. 49(4). 880–893. 2 indexed citations

Arimoto, Shigeru, Mark Spivakovsky, Keith F. Taylor, & Paul G. Mezey. (2010). Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Journal of Mathematical Chemistry. 48(3). 776–790. 4 indexed citations

Arimoto, Shigeru. (2009). Proof of the Fukui conjecture via resolution of singularities and related methods: III. Journal of Mathematical Chemistry. 47(2). 856–870. 5 indexed citations

Arimoto, Shigeru. (2008). Normed repeat space and its super spaces: fundamental notions for the second generation Fukui project. Journal of Mathematical Chemistry. 46(2). 586–591. 8 indexed citations

Wang, Lijie, Liqin Wang, Shigeru Arimoto, & Paul G. Mezey. (2006). Large-Scale Chirality Measures and General Symmetry Deficiency Measures for Functional Group Polyhedra of Proteins. Journal of Mathematical Chemistry. 40(2). 145–153. 3 indexed citations

Arimoto, Shigeru. (2006). Repeat Space Theory Applied to Carbon Nanotubes and Related Molecular Networks. I. Journal of Mathematical Chemistry. 41(3). 231–269. 10 indexed citations

10.

Arimoto, Shigeru, Mark Spivakovsky, Keith F. Taylor, & Paul G. Mezey. (2005). Proof of the Fukui conjecture via resolution of singularities and related methods. II $$^{\star}$$. Journal of Mathematical Chemistry. 37(2). 171–189. 8 indexed citations

11.

Arimoto, Shigeru. (2003). New Proof of the Fukui Conjecture by the Functional Asymptotic Linearity Theorem. Journal of Mathematical Chemistry. 34(3-4). 259–285. 14 indexed citations

12.

Zuidwijk, Rob, et al.. (2002). A Finer Aspect of Eigenvalue Distribution of Selfadjoint Band Toeplitz Matrices. SIAM Journal on Matrix Analysis and Applications. 24(1). 59–67. 15 indexed citations

13.

Arimoto, Shigeru, Mark Spivakovsky, Hiromu Ohno, et al.. (2001). Structural analysis of certain linear operators representing chemical network systems via the existence and uniqueness theorems of spectral resolution. VI*. International Journal of Quantum Chemistry. 84(4). 389–400. 15 indexed citations

14.

Mezey, Paul G., Kenichi Fukui, & Shigeru Arimoto. (2000). Treatment of small deformations of polyhedral shapes of functional group distributions in biomolecules. International Journal of Quantum Chemistry. 76(6). 756–761. 6 indexed citations

15.

Mezey, Paul G., Kenichi Fukui, Shigeru Arimoto, & Keith F. Taylor. (1998). Polyhedral shapes of functional group distributions in biomolecules and related similarity measures. International Journal of Quantum Chemistry. 66(1). 99–105. 15 indexed citations

16.

Arimoto, Shigeru, Mark Spivakovsky, & Keith F. Taylor. (1995). Notes on the Asymptotic Linearity Theorems. Journal of Mathematical Chemistry. 18(2). 169–177. 7 indexed citations

17.

Arimoto, Shigeru & Paul G. Mezey. (1994). Symmorphy transformations and operators in the repeat spaceX r(q) for additivity problems. Journal of Mathematical Chemistry. 16(1). 93–114. 5 indexed citations

18.

Hall, G. G. & Shigeru Arimoto. (1993). Eigenvalue distributions and asymptotic lines of the energy in alternant hydrocarbons. International Journal of Quantum Chemistry. 45(3). 303–328. 15 indexed citations

19.

Arimoto, Shigeru & Keith F. Taylor. (1993). Practical version of the Asymptotic Linearity Theorem with applications to the additivity problems of thermodynamic quantities. Journal of Mathematical Chemistry. 13(1). 265–272. 14 indexed citations

20.

Arimoto, Shigeru & G. G. Hall. (1992). Integral representation of a fundamental functional for the study of the zero‐point vibrational energy of hydrocarbons and the total Pi‐electron energy of alternant hydrocarbons. International Journal of Quantum Chemistry. 41(4). 613–635. 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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