Karimi, Masoud An ideal based regular digraph of ideals of commutative rings. (English) Zbl 1513.05174 Southeast Asian Bull. Math. 46, No. 4, 479-490 (2022). MSC: 05C20 05C25 05C69 13E05 13A15 PDFBibTeX XMLCite \textit{M. Karimi}, Southeast Asian Bull. Math. 46, No. 4, 479--490 (2022; Zbl 1513.05174) Full Text: Link
Biermann, Jennifer; Kara, Selvi; Lin, Kuei-Nuan; O’Keefe, Augustine Toric ideals of weighted oriented graphs. (English) Zbl 1489.13034 Int. J. Algebra Comput. 32, No. 2, 307-325 (2022). Reviewer: Giuseppe Favacchio (Palermo) MSC: 13F65 13A70 05C50 05C38 05E40 13C05 13F55 05C20 14M25 PDFBibTeX XMLCite \textit{J. Biermann} et al., Int. J. Algebra Comput. 32, No. 2, 307--325 (2022; Zbl 1489.13034) Full Text: DOI arXiv
Hà, Huy Tài; Lin, Kuei-Nuan; Morey, Susan; Reyes, Enrique; Villarreal, Rafael H. Edge ideals of oriented graphs. (English) Zbl 1436.13039 Int. J. Algebra Comput. 29, No. 3, 535-559 (2019). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 13F20 05C22 05E40 13H10 PDFBibTeX XMLCite \textit{H. T. Hà} et al., Int. J. Algebra Comput. 29, No. 3, 535--559 (2019; Zbl 1436.13039) Full Text: DOI arXiv
Viktorenkov, Vladimir E. On the structure of digraphs of polynomial transformations over finite commutative rings with unity. (English. Russian original) Zbl 1396.13023 Discrete Math. Appl. 28, No. 4, 259-274 (2018); translation from Diskretn. Mat. 29, No. 3, 3-23 (2017). MSC: 13M10 05C25 05C20 PDFBibTeX XMLCite \textit{V. E. Viktorenkov}, Discrete Math. Appl. 28, No. 4, 259--274 (2018; Zbl 1396.13023); translation from Diskretn. Mat. 29, No. 3, 3--23 (2017) Full Text: DOI
Karimi, Masoud On the regular graph of ideals of total ring of fractions. (English) Zbl 1388.13009 J. Algebra Appl. 17, No. 7, Article ID 1850124, 13 p. (2018). MSC: 13A15 05C20 05C69 13E05 PDFBibTeX XMLCite \textit{M. Karimi}, J. Algebra Appl. 17, No. 7, Article ID 1850124, 13 p. (2018; Zbl 1388.13009) Full Text: DOI
Shaveisi, Farzad The central vertices and radius of the regular graph of ideals. (English) Zbl 1463.05275 Trans. Comb. 6, No. 4, 1-13 (2017). MSC: 05C25 05C20 05C12 05C69 13E05 16P20 PDFBibTeX XMLCite \textit{F. Shaveisi}, Trans. Comb. 6, No. 4, 1--13 (2017; Zbl 1463.05275) Full Text: DOI arXiv
Afkhami, M.; Karimi, M.; Khashyarmanesh, K. On the planarity of the regular digraph of ideals of commutative rings. (English) Zbl 1463.05117 Ars Comb. 134, 403-423 (2017). MSC: 05C10 05C20 05C69 13E05 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Ars Comb. 134, 403--423 (2017; Zbl 1463.05117)
Grigor’yan, Alexander; Muranov, Yuri; Yau, Shing-Tung On a cohomology of digraphs and Hochschild cohomology. (English) Zbl 1353.05056 J. Homotopy Relat. Struct. 11, No. 2, 209-230 (2016). MSC: 05C20 05E45 55Q99 55U10 13D03 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., J. Homotopy Relat. Struct. 11, No. 2, 209--230 (2016; Zbl 1353.05056) Full Text: DOI
Karimi, Masoud On the girth of regular digraph of ideals of an Artinian ring. (English) Zbl 1346.05093 AKCE Int. J. Graphs Comb. 12, No. 2-3, 177-179 (2015). MSC: 05C20 05C25 13A15 13A99 PDFBibTeX XMLCite \textit{M. Karimi}, AKCE Int. J. Graphs Comb. 12, No. 2--3, 177--179 (2015; Zbl 1346.05093) Full Text: DOI
Wei, Yangjiang; Tang, Gaohua The iteration digraphs of finite commutative rings. (English) Zbl 1342.05025 Turk. J. Math. 39, No. 6, 872-883 (2015). MSC: 05C05 11A07 13M05 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{G. Tang}, Turk. J. Math. 39, No. 6, 872--883 (2015; Zbl 1342.05025) Full Text: DOI Link
Nan, Jizhu; Wei, Yangjiang; Tang, Gaohua The fundamental constituents of iteration digraphs of finite commutative rings. (English) Zbl 1340.05103 Czech. Math. J. 64, No. 1, 199-208 (2014). MSC: 05C20 05C76 05C05 11A07 13M05 PDFBibTeX XMLCite \textit{J. Nan} et al., Czech. Math. J. 64, No. 1, 199--208 (2014; Zbl 1340.05103) Full Text: DOI Link
Wei, Yangjiang; Tang, Gaohua; Nan, Jizhu The iteration digraphs of group rings over finite fields. (English) Zbl 1294.05085 J. Algebra Appl. 13, No. 5, Article ID 1350162, 19 p. (2014). MSC: 05C20 05C25 11A07 13M05 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Algebra Appl. 13, No. 5, Article ID 1350162, 19 p. (2014; Zbl 1294.05085) Full Text: DOI
Afkhami, M.; Karimi, M.; Khashyarmanesh, K. On the regular digraph of ideals of commutative rings. (English) Zbl 1276.05050 Bull. Aust. Math. Soc. 88, No. 2, 177-189 (2013). MSC: 05C20 05C40 05C12 05C69 13E05 16P20 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Bull. Aust. Math. Soc. 88, No. 2, 177--189 (2013; Zbl 1276.05050) Full Text: DOI
Nikmehr, M. J.; Shaveisi, F. The regular digraph of ideals of a commutative ring. (English) Zbl 1265.05283 Acta Math. Hung. 134, No. 4, 516-528 (2012). Reviewer: Marius Tarnauceanu (Iasi) MSC: 05C20 05C69 13A15 13E10 PDFBibTeX XMLCite \textit{M. J. Nikmehr} and \textit{F. Shaveisi}, Acta Math. Hung. 134, No. 4, 516--528 (2012; Zbl 1265.05283) Full Text: DOI
Gómez, Domingo; Gutierrez, Jaime; Ibeas, Álvar Cayley digraphs of finite abelian groups and monomial ideals. (English) Zbl 1144.13010 SIAM J. Discrete Math. 21, No. 3, 763-784 (2007). MSC: 13F55 13P10 05C25 68M10 PDFBibTeX XMLCite \textit{D. Gómez} et al., SIAM J. Discrete Math. 21, No. 3, 763--784 (2007; Zbl 1144.13010) Full Text: DOI Link
Eto, Kazufumi Cohen-Macaulay rings associated with digraphs. (English) Zbl 0922.05029 J. Algebra 206, No. 2, 541-554 (1998). Reviewer: D.D.Anderson (Iowa City) MSC: 05C20 13H10 05C38 05C30 05C45 PDFBibTeX XMLCite \textit{K. Eto}, J. Algebra 206, No. 2, 541--554 (1998; Zbl 0922.05029) Full Text: DOI