Ebrahimi, Dorcheh Mehdi; Bagheri, Saeid A graph associated to especial essentiality of submodules. (English) Zbl 07780394 J. Algebr. Syst. 12, No. 2, 237-256 (2025). MSC: 16D10 13A70 16D80 PDFBibTeX XMLCite \textit{D. M. Ebrahimi} and \textit{S. Bagheri}, J. Algebr. Syst. 12, No. 2, 237--256 (2025; Zbl 07780394) Full Text: DOI
Tohidi, N. Kh.; Hosseini, A.; Nikandish, R. Twin-free cliques in annihilator graphs of commutative rings. (English) Zbl 1525.13009 J. Algebra Appl. 23, No. 1, Article ID 2450019, 9 p. (2024). MSC: 13A99 05C78 05C25 05C69 PDFBibTeX XMLCite \textit{N. Kh. Tohidi} et al., J. Algebra Appl. 23, No. 1, Article ID 2450019, 9 p. (2024; Zbl 1525.13009) Full Text: DOI
Patil, Chetan; Khandekar, Nilesh; Joshi, Vinayak On graphs with equal coprime index and clique number. (English) Zbl 07815935 AKCE Int. J. Graphs Comb. 20, No. 3, 235-243 (2023). MSC: 05C15 05C78 06A07 13A70 PDFBibTeX XMLCite \textit{C. Patil} et al., AKCE Int. J. Graphs Comb. 20, No. 3, 235--243 (2023; Zbl 07815935) Full Text: DOI OA License
Aijaz, M.; Rani, K.; Pirzada, S. On compressed zero divisor graphs associated to the ring of integers modulo \(n\). (English) Zbl 07797259 Carpathian Math. Publ. 15, No. 2, 552-558 (2023). MSC: 13A99 05C07 05C12 05C15 05C25 05C69 PDFBibTeX XMLCite \textit{M. Aijaz} et al., Carpathian Math. Publ. 15, No. 2, 552--558 (2023; Zbl 07797259) Full Text: DOI
Mirzaei, F.; Nekooei, R. The prime submodules hypergraph of a free module of finite rank over a commutative ring. (English) Zbl 07768536 J. Algebra Appl. 22, No. 11, Article ID 2350237, 13 p. (2023). Reviewer: Muhammad Toheed Jillani (Islamabad) MSC: 05E40 05C65 05C15 13C70 51E10 PDFBibTeX XMLCite \textit{F. Mirzaei} and \textit{R. Nekooei}, J. Algebra Appl. 22, No. 11, Article ID 2350237, 13 p. (2023; Zbl 07768536) Full Text: DOI
Rajaee, Saeed The annihilators comaximal graph. (English) Zbl 1504.13011 Asian-Eur. J. Math. 15, No. 8, Article ID 2250153, 14 p. (2022). MSC: 13A70 13F05 05C75 PDFBibTeX XMLCite \textit{S. Rajaee}, Asian-Eur. J. Math. 15, No. 8, Article ID 2250153, 14 p. (2022; Zbl 1504.13011) Full Text: DOI
Jinnah, M. I.; Mathew, Shine C. Ideal based graph structures for commutative rings. (English) Zbl 1493.13008 Cubo 24, No. 2, 333-341 (2022). MSC: 13A15 13C70 05C75 PDFBibTeX XMLCite \textit{M. I. Jinnah} and \textit{S. C. Mathew}, Cubo 24, No. 2, 333--341 (2022; Zbl 1493.13008) Full Text: DOI
Park, Min Ji; Jeong, Jong Won; Lim, Jung Wook; Bae, Jin Won The zero-divisor graphs of \(\mathbb{Z} (+) \mathbb{Z}_n\) and \((\mathbb{Z} (+) \mathbb{Z}_n)[X\rrbracket\). (English) Zbl 1513.05199 J. Appl. Math. Inform. 40, No. 3-4, 729-740 (2022). MSC: 05C25 05C12 05C15 05C38 13B25 13F25 PDFBibTeX XMLCite \textit{M. J. Park} et al., J. Appl. Math. Inform. 40, No. 3--4, 729--740 (2022; Zbl 1513.05199) Full Text: DOI
Boro, L.; Singh, M. M.; Goswami, J. Unit graph of the ring \(\mathbb{Z}_m\times\mathbb{Z}_n \). (English) Zbl 1489.05066 Lobachevskii J. Math. 43, No. 2, 345-352 (2022). MSC: 05C25 13A70 13M05 PDFBibTeX XMLCite \textit{L. Boro} et al., Lobachevskii J. Math. 43, No. 2, 345--352 (2022; Zbl 1489.05066) Full Text: DOI
Roy, Joy; Patra, Kuntala Some aspects of unitary addition Cayley graph of Eisenstein integers modulo \(n\). (English) Zbl 1499.05293 Algebr. Struct. Appl. 9, No. 1, 121-132 (2022). MSC: 05C25 05C07 13A05 05C15 PDFBibTeX XMLCite \textit{J. Roy} and \textit{K. Patra}, Algebr. Struct. Appl. 9, No. 1, 121--132 (2022; Zbl 1499.05293)
Aijaz, M.; Pirzada, S.; Somasundaram, A. Zero-divisor graphs of unitary \(R\)-modules over commutative rings. (English) Zbl 1485.13017 AKCE Int. J. Graphs Comb. 19, No. 1, 69-73 (2022). MSC: 13A70 05C12 05C25 05C78 PDFBibTeX XMLCite \textit{M. Aijaz} et al., AKCE Int. J. Graphs Comb. 19, No. 1, 69--73 (2022; Zbl 1485.13017) Full Text: DOI
Badie, Mehdi Annihilating-ideal graph of \(C(X)\). (English) Zbl 1486.13014 J. Algebr. Syst. 9, No. 2, 203-217 (2022). Reviewer: Tongsuo Wu (Shanghai) MSC: 13A70 54C40 05C25 PDFBibTeX XMLCite \textit{M. Badie}, J. Algebr. Syst. 9, No. 2, 203--217 (2022; Zbl 1486.13014) Full Text: DOI arXiv
Kavaskar, Thanthony Beck’s coloring of finite product of commutative ring with unity. (English) Zbl 1482.13012 Graphs Comb. 38, No. 2, Paper No. 34, 9 p. (2022). MSC: 13A70 05C15 PDFBibTeX XMLCite \textit{T. Kavaskar}, Graphs Comb. 38, No. 2, Paper No. 34, 9 p. (2022; Zbl 1482.13012) Full Text: DOI
Liu, Qiong; Wu, Tongsuo; Guo, Jin On finite local rings with clique number four. (English) Zbl 1478.13012 Algebra Colloq. 29, No. 1, 23-38 (2022). MSC: 13A70 13M05 13M10 05C99 PDFBibTeX XMLCite \textit{Q. Liu} et al., Algebra Colloq. 29, No. 1, 23--38 (2022; Zbl 1478.13012) Full Text: DOI
Atani, Shahabaddin Ebrahimi; Khoramdel, Mehdi; Hesari, Saboura Dolati Pish A graph associated to a commutative semiring. (English) Zbl 1491.05061 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 984-996 (2021). MSC: 05C10 05C15 05C69 16Y60 13A70 PDFBibTeX XMLCite \textit{S. E. Atani} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 70, No. 2, 984--996 (2021; Zbl 1491.05061) Full Text: DOI
Kumar, Arun Non comaximal graph of commutative rings. (English) Zbl 1486.05062 Palest. J. Math. 10, No. 2, 533-536 (2021). MSC: 05C10 05C17 05C25 13A15 PDFBibTeX XMLCite \textit{A. Kumar}, Palest. J. Math. 10, No. 2, 533--536 (2021; Zbl 1486.05062) Full Text: Link
Pranjali; Kumar, Amit; Sharma, Pooja Line graph of unit graphs associated with finite commutative rings. (English) Zbl 1483.13017 Proyecciones 40, No. 4, 919-926 (2021). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C25 05C69 05C15 PDFBibTeX XMLCite \textit{Pranjali} et al., Proyecciones 40, No. 4, 919--926 (2021; Zbl 1483.13017) Full Text: DOI
Orhan Ertaş, Nil; Sürül, Sema Some properties of intersection graph of a module with an application of the graph of \(\mathbb{Z}_n\). (English) Zbl 1483.05079 J. Discrete Math. Sci. Cryptography 24, No. 4, 899-916 (2021). MSC: 05C25 16D10 05C15 05C69 05E40 13A70 PDFBibTeX XMLCite \textit{N. Orhan Ertaş} and \textit{S. Sürül}, J. Discrete Math. Sci. Cryptography 24, No. 4, 899--916 (2021; Zbl 1483.05079) Full Text: DOI
Visweswaran, S.; Lalchandani, Premkumar T. The exact zero-divisor graph of a reduced ring. (English) Zbl 1483.13018 Indian J. Pure Appl. Math. 52, No. 4, 1123-1144 (2021). Reviewer: Qiao Lei (Chengdu) MSC: 13A70 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{P. T. Lalchandani}, Indian J. Pure Appl. Math. 52, No. 4, 1123--1144 (2021; Zbl 1483.13018) Full Text: DOI
Habibi, Mohammad; Yetkın Çelıkel, Ece; Abdıoğlu, Cihat Clean graph of a ring. (English) Zbl 1477.13005 J. Algebra Appl. 20, No. 9, Article ID 2150156, 10 p. (2021). Reviewer: A. Mimouni (Dhahran) MSC: 13A15 05C25 13A70 PDFBibTeX XMLCite \textit{M. Habibi} et al., J. Algebra Appl. 20, No. 9, Article ID 2150156, 10 p. (2021; Zbl 1477.13005) Full Text: DOI
Nikmehr, Mohammad Javad; Azadi, Abdolreza; Nikandish, Reza The weakly zero-divisor graph of a commutative ring. (English) Zbl 1470.13012 Rev. Unión Mat. Argent. 62, No. 1, 105-116 (2021). MSC: 13A70 13A15 05C25 PDFBibTeX XMLCite \textit{M. J. Nikmehr} et al., Rev. Unión Mat. Argent. 62, No. 1, 105--116 (2021; Zbl 1470.13012) Full Text: DOI
Adlifard, M.; Payrovi, Sh. Some classes of perfect annihilator-ideal graphs associated with commutative rings. (English) Zbl 1488.13002 J. Algebra Relat. Top. 9, No. 1, 21-29 (2021). MSC: 13A15 13B99 05C99 05C25 PDFBibTeX XMLCite \textit{M. Adlifard} and \textit{Sh. Payrovi}, J. Algebra Relat. Top. 9, No. 1, 21--29 (2021; Zbl 1488.13002) Full Text: DOI
Liu, Qiong; Wu, Tongsuo; Guo, Jin Finite rings whose graphs have clique number less than five. (English) Zbl 1466.13018 Algebra Colloq. 28, No. 3, 533-540 (2021). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13M05 13M10 13A70 05C69 PDFBibTeX XMLCite \textit{Q. Liu} et al., Algebra Colloq. 28, No. 3, 533--540 (2021; Zbl 1466.13018) Full Text: DOI
Basnet, Dhiren Kumar; Sharma, Aajay; Dutta, Rahul Nilpotent graph. (English) Zbl 1462.05169 Theory Appl. Graphs 8, No. 1, Article 2, 9 p. (2021). MSC: 05C25 13A99 05C15 05C50 PDFBibTeX XMLCite \textit{D. K. Basnet} et al., Theory Appl. Graphs 8, No. 1, Article 2, 9 p. (2021; Zbl 1462.05169) Full Text: DOI arXiv
Malayeri, Mohammad Rouzbahani; Madani, Sara Saeedi; Kiani, Dariush A proof for a conjecture on the regularity of binomial edge ideals. (English) Zbl 1459.13019 J. Comb. Theory, Ser. A 180, Article ID 105432, 10 p. (2021). Reviewer: Francesco Strazzanti (Torino) MSC: 13F65 05C25 05E40 13D02 PDFBibTeX XMLCite \textit{M. R. Malayeri} et al., J. Comb. Theory, Ser. A 180, Article ID 105432, 10 p. (2021; Zbl 1459.13019) Full Text: DOI arXiv
Tamizh Chelvam, T.; Sivagami, M. Ideal based trace graph of matrices. (English) Zbl 1488.16078 Hacet. J. Math. Stat. 49, No. 2, 608-616 (2020). MSC: 16S50 05C25 13A15 05C69 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{M. Sivagami}, Hacet. J. Math. Stat. 49, No. 2, 608--616 (2020; Zbl 1488.16078) Full Text: DOI
Raveendra Prathap, R.; Tamizh Chelvam, T. Complement graph of the square graph of finite abelian groups. (English) Zbl 1473.05126 Houston J. Math. 46, No. 4, 845-857 (2020). MSC: 05C25 05C76 20K01 05C17 13A99 PDFBibTeX XMLCite \textit{R. Raveendra Prathap} and \textit{T. Tamizh Chelvam}, Houston J. Math. 46, No. 4, 845--857 (2020; Zbl 1473.05126) Full Text: Link
Park, Min Ji; Kim, Eun Sup; Lim, Jung Wook The zero-divisor graph of \(\mathbb{Z}_n[X]]\). (English) Zbl 1462.05180 Kyungpook Math. J. 60, No. 4, 723-729 (2020). MSC: 05C25 05C12 05C15 05C38 13B25 13F25 PDFBibTeX XMLCite \textit{M. J. Park} et al., Kyungpook Math. J. 60, No. 4, 723--729 (2020; Zbl 1462.05180) Full Text: DOI
Jalali, Mitra; Nikandish, Reza; Tehranian, Abolfazl When a total graph associated with a commutative ring is perfect? (English) Zbl 1471.13006 Publ. Inst. Math., Nouv. Sér. 107(121), 85-92 (2020). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13A15 13A70 05C99 05C25 PDFBibTeX XMLCite \textit{M. Jalali} et al., Publ. Inst. Math., Nouv. Sér. 107(121), 85--92 (2020; Zbl 1471.13006) Full Text: DOI
Akbari, S.; Khojasteh, S. The coloring of the cozero-divisor graph of a commutative ring. (English) Zbl 1459.05354 Discrete Math. Algorithms Appl. 12, No. 3, Article ID 2050023, 8 p. (2020). MSC: 05E40 05C15 05C25 05C69 13A70 16N20 PDFBibTeX XMLCite \textit{S. Akbari} and \textit{S. Khojasteh}, Discrete Math. Algorithms Appl. 12, No. 3, Article ID 2050023, 8 p. (2020; Zbl 1459.05354) Full Text: DOI
Montejano, Luis Pedro; Núñez-Betancourt, Luis \(b\)-vectors of chordal graphs. (English) Zbl 1455.05026 J. Commut. Algebra 12, No. 4, 539-557 (2020). MSC: 05C25 05E40 05E45 13D02 13F55 PDFBibTeX XMLCite \textit{L. P. Montejano} and \textit{L. Núñez-Betancourt}, J. Commut. Algebra 12, No. 4, 539--557 (2020; Zbl 1455.05026) Full Text: DOI arXiv Euclid
Bakhtyiari, M.; Nikandish, R.; Nikmehr, M. J. Coloring of cozero-divisor graphs of commutative von Neumann regular rings. (English) Zbl 1442.13018 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 49, 7 p. (2020). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C25 05C15 05C69 13A15 13E05 PDFBibTeX XMLCite \textit{M. Bakhtyiari} et al., Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 49, 7 p. (2020; Zbl 1442.13018) Full Text: DOI arXiv
Jalali, Mitra; Tehranian, Abolfazl; Nikandish, Reza; Rasouli, Hamid Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings. (English) Zbl 1524.13016 Commentat. Math. Univ. Carol. 61, No. 1, 27-34 (2020). MSC: 13A15 13B99 05C99 05C25 PDFBibTeX XMLCite \textit{M. Jalali} et al., Commentat. Math. Univ. Carol. 61, No. 1, 27--34 (2020; Zbl 1524.13016) Full Text: DOI
Patil, Avinash; Khairnar, Anil; Waphare, B. N. Zero-divisor graph of a poset with respect to an automorphism. (English) Zbl 1461.13004 Discrete Appl. Math. 283, 604-612 (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13A70 05C90 PDFBibTeX XMLCite \textit{A. Patil} et al., Discrete Appl. Math. 283, 604--612 (2020; Zbl 1461.13004) Full Text: DOI
Alinejad, Mohsen; Khashyarmanesh, Kazem Automorphism groups of some generalized Cayley graphs. (English) Zbl 1437.05094 Rend. Circ. Mat. Palermo (2) 69, No. 1, 167-174 (2020). MSC: 05C25 05C69 05C75 13A15 PDFBibTeX XMLCite \textit{M. Alinejad} and \textit{K. Khashyarmanesh}, Rend. Circ. Mat. Palermo (2) 69, No. 1, 167--174 (2020; Zbl 1437.05094) Full Text: DOI
Visweswaran, S.; Vadhel, P. Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring. II: Quasilocal case. (English) Zbl 1450.13001 Algebra Discrete Math. 27, No. 1, 117-143 (2019). MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{P. Vadhel}, Algebra Discrete Math. 27, No. 1, 117--143 (2019; Zbl 1450.13001) Full Text: Link
Azadi, Abdolreza; Nikmehr, M. Javad; Soleymanzadeh, B. Perfect essential graphs. (English) Zbl 1434.05060 Matematiche 74, No. 2, 279-287 (2019). MSC: 05C17 05C15 13A15 PDFBibTeX XMLCite \textit{A. Azadi} et al., Matematiche 74, No. 2, 279--287 (2019; Zbl 1434.05060) Full Text: Link
Fatehi, M.; Khashyarmanesh, K.; Afkhami, M. A generalization of power graphs of commutative rings. (English) Zbl 1449.05132 Southeast Asian Bull. Math. 43, No. 4, 487-500 (2019). MSC: 05C25 13C05 PDFBibTeX XMLCite \textit{M. Fatehi} et al., Southeast Asian Bull. Math. 43, No. 4, 487--500 (2019; Zbl 1449.05132)
Lee, Sang Cheol; Varmazyar, Rezvan Chromatic number of the zero-divisor graphs over modules. (English) Zbl 1425.05061 Commun. Korean Math. Soc. 34, No. 2, 391-399 (2019). MSC: 05C15 05C25 13C12 05C38 PDFBibTeX XMLCite \textit{S. C. Lee} and \textit{R. Varmazyar}, Commun. Korean Math. Soc. 34, No. 2, 391--399 (2019; Zbl 1425.05061) Full Text: DOI
Visweswaran, S.; Parmar, Anirudhdha Some results on a spanning subgraph of the complement of the annihilating-ideal graph of a commutative reduced ring. (English) Zbl 1419.13008 Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950012, 23 p. (2019). Reviewer: Christopher P. Mooney (Fulton) MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{A. Parmar}, Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950012, 23 p. (2019; Zbl 1419.13008) Full Text: DOI
Jalal Abadi, Batool Zarei; Moghimi, Hosein Fazaeli Radical-depended graph of a commutative ring. (English) Zbl 1438.05120 An. Univ. Craiova, Ser. Mat. Inf. 45, No. 1, 78-85 (2018). MSC: 05C25 13A15 PDFBibTeX XMLCite \textit{B. Z. Jalal Abadi} and \textit{H. F. Moghimi}, An. Univ. Craiova, Ser. Mat. Inf. 45, No. 1, 78--85 (2018; Zbl 1438.05120)
Visweswaran, S.; Vadhel, P. Some results on a subgraph of the intersection graph of ideals of a commutative ring. (English) Zbl 1438.13008 J. Algebra Relat. Top. 6, No. 2, 35-61 (2018). MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{P. Vadhel}, J. Algebra Relat. Top. 6, No. 2, 35--61 (2018; Zbl 1438.13008) Full Text: DOI
Vadhel, P.; Visweswaran, S. Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I. Nonquasilocal case. (English) Zbl 1418.13005 Algebra Discrete Math. 26, No. 1, 130-143 (2018). MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{P. Vadhel} and \textit{S. Visweswaran}, Algebra Discrete Math. 26, No. 1, 130--143 (2018; Zbl 1418.13005) Full Text: MNR
Nikandish, R.; Nikmehr, M. J.; Tohidi, N. Kh. Some results on the strongly annihilating-ideal graph of a commutative ring. (English) Zbl 1419.13006 Bol. Soc. Mat. Mex., III. Ser. 24, No. 2, 307-318 (2018). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05C10 05C69 PDFBibTeX XMLCite \textit{R. Nikandish} et al., Bol. Soc. Mat. Mex., III. Ser. 24, No. 2, 307--318 (2018; Zbl 1419.13006) Full Text: DOI
Visweswaran, S.; Parejiya, Jaydeep Some results on the complement of the comaximal ideal graphs of commutative rings. (English) Zbl 1402.13004 Ric. Mat. 67, No. 2, 709-728 (2018). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{J. Parejiya}, Ric. Mat. 67, No. 2, 709--728 (2018; Zbl 1402.13004) Full Text: DOI
Heydari, F. The \(M\)-intersection graph of ideals of a commutative ring. (English) Zbl 1400.05110 Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850038, 11 p. (2018). MSC: 05C25 05C15 05C17 05C69 13A99 13C99 PDFBibTeX XMLCite \textit{F. Heydari}, Discrete Math. Algorithms Appl. 10, No. 3, Article ID 1850038, 11 p. (2018; Zbl 1400.05110) Full Text: DOI arXiv
Barani, Hamid Reza; Khashyarmanesh, Kazem; Rahbarnia, Freydoon On the generalized Cayley graphs of power set rings and Hamiltonian cycles. (English) Zbl 1474.05175 Ars Comb. 138, 365-380 (2018). MSC: 05C25 05C69 05C45 13A99 PDFBibTeX XMLCite \textit{H. R. Barani} et al., Ars Comb. 138, 365--380 (2018; Zbl 1474.05175)
Jahanbakhsh Basharlou, N.; Nikmehr, M. J.; Nikandish, R. On generalized zero-divisor graph associated with a commutative ring. (English) Zbl 1441.13017 Ital. J. Pure Appl. Math. 39, 128-139 (2018). MSC: 13A70 PDFBibTeX XMLCite \textit{N. Jahanbakhsh Basharlou} et al., Ital. J. Pure Appl. Math. 39, 128--139 (2018; Zbl 1441.13017) Full Text: Link
Aghapouramin, V.; Nikmehr, M. J. Perfectness of a graph associated with annihilating ideals of a ring. (English) Zbl 1400.13006 Discrete Math. Algorithms Appl. 10, No. 4, Article ID 1850047, 11 p. (2018). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05C17 05C25 05C99 PDFBibTeX XMLCite \textit{V. Aghapouramin} and \textit{M. J. Nikmehr}, Discrete Math. Algorithms Appl. 10, No. 4, Article ID 1850047, 11 p. (2018; Zbl 1400.13006) Full Text: DOI
Mehdi-Nezhad, Elham; Rahimi, Amir M. The annihilation graphs of commutator posets and lattices with respect to an ideal. (English) Zbl 1397.05077 J. Algebra Appl. 17, No. 6, Article ID 1850103, 23 p. (2018). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 05C25 06F99 13A15 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, J. Algebra Appl. 17, No. 6, Article ID 1850103, 23 p. (2018; Zbl 1397.05077) Full Text: DOI
Nikandish, R.; Nikmehr, M. J.; Bakhtyiar, M. Some further results on the annihilator ideal graph of a commutative ring. (English) Zbl 1513.13017 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 79, No. 1, 99-108 (2017). MSC: 13A99 05C25 05C69 PDFBibTeX XMLCite \textit{R. Nikandish} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 79, No. 1, 99--108 (2017; Zbl 1513.13017)
Mallika, A.; Kala, R.; Selvakumar, K. A note on ideal based zero-divisor graph of a commutative ring. (English) Zbl 1463.05268 Discuss. Math., Gen. Algebra Appl. 37, No. 2, 177-187 (2017). MSC: 05C25 13A15 13A05 05C45 05C69 PDFBibTeX XMLCite \textit{A. Mallika} et al., Discuss. Math., Gen. Algebra Appl. 37, No. 2, 177--187 (2017; Zbl 1463.05268) Full Text: DOI
Dutta, Sanghita; Lanong, Chanlemki On annihilator graph of a finite commutative ring. (English) Zbl 1463.05254 Trans. Comb. 6, No. 1, 1-11 (2017). MSC: 05C25 13A15 05C69 13H05 PDFBibTeX XMLCite \textit{S. Dutta} and \textit{C. Lanong}, Trans. Comb. 6, No. 1, 1--11 (2017; Zbl 1463.05254) Full Text: DOI
Visweswaran, Subramanian; Parejiya, Jaydeep A note on a graph related to the comaximal ideal graph of a commutative ring. (English) Zbl 1463.13011 Algebr. Struct. Appl. 4, No. 1, 59-78 (2017). MSC: 13A15 05C25 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{J. Parejiya}, Algebr. Struct. Appl. 4, No. 1, 59--78 (2017; Zbl 1463.13011) Full Text: DOI
Mehdi-Nezhad, Elham; Rahimi, Amir M. Comaximal submodule graphs of unitary modules. (English) Zbl 1414.05247 Lib. Math. (N.S.) 37, No. 1, 75-98 (2017). MSC: 05C75 05C25 16D10 16D60 13C10 13A15 13A99 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, Lib. Math. (N.S.) 37, No. 1, 75--98 (2017; Zbl 1414.05247)
Bakhtyiari, M.; Nikmehr, M. J.; Nikandish, R. The extended zero-divisor graph of a commutative ring. II. (English) Zbl 1386.13026 Hokkaido Math. J. 46, No. 3, 395-406 (2017). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13B99 05C10 05C69 PDFBibTeX XMLCite \textit{M. Bakhtyiari} et al., Hokkaido Math. J. 46, No. 3, 395--406 (2017; Zbl 1386.13026) Full Text: DOI Euclid
Naghipour, A. R. On the zero-divisor Cayley graph of a finite commutative ring. (English) Zbl 1374.13010 Iran. J. Math. Sci. Inform. 12, No. 1, 95-106 (2017). MSC: 13A99 05C25 05C40 13M05 PDFBibTeX XMLCite \textit{A. R. Naghipour}, Iran. J. Math. Sci. Inform. 12, No. 1, 95--106 (2017; Zbl 1374.13010) Full Text: DOI
Nikmehr, M. J.; Soleymanzadeh, B. The prime ideals intersection graph of a ring. (English) Zbl 1463.05271 Commentat. Math. Univ. Carol. 58, No. 2, 137-145 (2017). MSC: 05C25 05C40 05C69 13A15 05C10 PDFBibTeX XMLCite \textit{M. J. Nikmehr} and \textit{B. Soleymanzadeh}, Commentat. Math. Univ. Carol. 58, No. 2, 137--145 (2017; Zbl 1463.05271) Full Text: DOI
Afkhami, Mojgan; Khashyarmanesh, Kazem; Rajabi, Zohreh Some results on the annihilator graph of a commutative ring. (English) Zbl 1424.05244 Czech. Math. J. 67, No. 1, 151-169 (2017). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 05C75 13A99 05C99 05C25 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Czech. Math. J. 67, No. 1, 151--169 (2017; Zbl 1424.05244) Full Text: DOI Link
Nikmehr, M. J.; Nikandish, R.; Bakhtyiari, M. On the essential graph of a commutative ring. (English) Zbl 1367.13005 J. Algebra Appl. 16, No. 7, Article ID 1750132, 14 p. (2017). Reviewer: Siamak Yassemi (Tehran) MSC: 13A15 13B99 05C99 05C25 PDFBibTeX XMLCite \textit{M. J. Nikmehr} et al., J. Algebra Appl. 16, No. 7, Article ID 1750132, 14 p. (2017; Zbl 1367.13005) Full Text: DOI
Ebrahimi Atani, S.; Dolati Pish Hesari, S.; Khoramdel, M. A graph associated to proper non-small ideals of a commutative ring. (English) Zbl 1463.05255 Commentat. Math. Univ. Carol. 58, No. 1, 1-12 (2017). MSC: 05C25 05C40 05C69 13A15 PDFBibTeX XMLCite \textit{S. Ebrahimi Atani} et al., Commentat. Math. Univ. Carol. 58, No. 1, 1--12 (2017; Zbl 1463.05255) Full Text: DOI
Visweswaran, S.; Sarman, Patat Some properties of the complement of the annihilator graph of a commutative reduced ring. (English) Zbl 1437.13017 Palest. J. Math. 6, No. 2, 434-447 (2017). Reviewer: Mohammad Javad Nikmehr (Tehran) MSC: 13A70 13A15 PDFBibTeX XMLCite \textit{S. Visweswaran} and \textit{P. Sarman}, Palest. J. Math. 6, No. 2, 434--447 (2017; Zbl 1437.13017) Full Text: Link
Guo, Jin; Wu, Tongsuo; Yu, Houyi On rings whose annihilating-ideal graphs are blow-ups of a class of Boolean graphs. (English) Zbl 1364.13006 J. Korean Math. Soc. 54, No. 3, 847-865 (2017). MSC: 13A15 05C25 05C75 PDFBibTeX XMLCite \textit{J. Guo} et al., J. Korean Math. Soc. 54, No. 3, 847--865 (2017; Zbl 1364.13006) Full Text: DOI Link
Mehdi-Nezhad, Elham; Rahimi, Amir M. The annihilation graphs of commutator posets and lattices with respect to an element. (English) Zbl 1365.13005 J. Algebra Appl. 16, No. 6, Article ID 1750106, 20 p. (2017). Reviewer: Siamak Yassemi (Tehran) MSC: 13A15 05C25 06F99 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, J. Algebra Appl. 16, No. 6, Article ID 1750106, 20 p. (2017; Zbl 1365.13005) Full Text: DOI
Azadi, Mehrdad; Jafari, Zeinab; Eslahchi, Changiz On the comaximal ideal graph of a commutative ring. (English) Zbl 1424.05130 Turk. J. Math. 40, No. 4, 905-913 (2016). MSC: 05C25 05C10 05C17 13A15 PDFBibTeX XMLCite \textit{M. Azadi} et al., Turk. J. Math. 40, No. 4, 905--913 (2016; Zbl 1424.05130) Full Text: DOI
Momtahan, E.; Baziar, M.; Safaeeyan, S. A module theoretic approach to zero-divisor graph with respect to (first) dual. (English) Zbl 1373.05086 Bull. Iran. Math. Soc. 42, No. 4, 861-872 (2016). MSC: 05C25 13C05 05C38 05C40 05C15 PDFBibTeX XMLCite \textit{E. Momtahan} et al., Bull. Iran. Math. Soc. 42, No. 4, 861--872 (2016; Zbl 1373.05086) Full Text: Link
Badie, Mehdi Comaximal graph of \(C(X)\). (English) Zbl 1389.54053 Commentat. Math. Univ. Carol. 57, No. 3, 353-364 (2016). Reviewer: Wu Tongsuo (Shanghai) MSC: 54C40 13A15 05C25 PDFBibTeX XMLCite \textit{M. Badie}, Commentat. Math. Univ. Carol. 57, No. 3, 353--364 (2016; Zbl 1389.54053) Full Text: DOI
Naghipour, Ali Reza; Rezagholibeigi, Meysam A refinement of the unit and unitary Cayley graphs of a finite ring. (English) Zbl 1343.05078 Bull. Korean Math. Soc. 53, No. 4, 1197-1211 (2016). MSC: 05C25 05C40 05C75 05C69 05C45 05C70 13M05 16U60 PDFBibTeX XMLCite \textit{A. R. Naghipour} and \textit{M. Rezagholibeigi}, Bull. Korean Math. Soc. 53, No. 4, 1197--1211 (2016; Zbl 1343.05078) Full Text: DOI Link
Nikandish, Reza; Maimani, Hamidreza; Izanloo, Hasan The annihilating-ideal graph of \(\mathbb{Z}_n\) is weakly perfect. (English) Zbl 1341.05124 Contrib. Discrete Math. 11, No. 1, 16-21 (2016). MSC: 05C25 05C75 05C15 05C69 13M05 PDFBibTeX XMLCite \textit{R. Nikandish} et al., Contrib. Discrete Math. 11, No. 1, 16--21 (2016; Zbl 1341.05124) Full Text: Link
Shaveisi, F.; Nikandish, R. The nil-graph of ideals of a commutative ring. (English) Zbl 1339.05186 Bull. Malays. Math. Sci. Soc. (2) 39, Suppl. 1, S3-S11 (2016). MSC: 05C25 05C15 05C69 13E05 13E10 PDFBibTeX XMLCite \textit{F. Shaveisi} and \textit{R. Nikandish}, Bull. Malays. Math. Sci. Soc. (2) 39, S3--S11 (2016; Zbl 1339.05186) Full Text: DOI
Guo, Jin; Wu, Tongsuo Graph properties and stratified presentations of partially ordered sets. (English) Zbl 1332.05118 Algebra Colloq. 23, No. 1, 51-63 (2016). MSC: 05C75 05C69 05C85 06A07 13A15 13E15 13F20 PDFBibTeX XMLCite \textit{J. Guo} and \textit{T. Wu}, Algebra Colloq. 23, No. 1, 51--63 (2016; Zbl 1332.05118) Full Text: DOI
Akbari, S.; Estaji, E.; Khorsandi, M. R. On the unit graph of a non-commutative ring. (English) Zbl 1328.05075 Algebra Colloq. 22, Spec. Iss. 1, 817-822 (2015). MSC: 05C25 13E10 PDFBibTeX XMLCite \textit{S. Akbari} et al., Algebra Colloq. 22, 817--822 (2015; Zbl 1328.05075) Full Text: DOI arXiv
Mehdi-Nezhad, Elham; Rahimi, Amir M. On some graphs associated to commutative semirings. (English) Zbl 1325.05137 Result. Math. 68, No. 3-4, 293-312 (2015). MSC: 05C75 16Y60 13A15 13A99 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, Result. Math. 68, No. 3--4, 293--312 (2015; Zbl 1325.05137) Full Text: DOI
Zaare-Nahandi, Rashid Pure simplicial complexes and well-covered graphs. (English) Zbl 1327.05150 Rocky Mt. J. Math. 45, No. 2, 695-702 (2015). MSC: 05C25 05E40 05E45 13F55 PDFBibTeX XMLCite \textit{R. Zaare-Nahandi}, Rocky Mt. J. Math. 45, No. 2, 695--702 (2015; Zbl 1327.05150) Full Text: DOI arXiv Euclid
Alibemani, Abolfazl; Bakhtyiari, Moharram; Nikandish, Reza; Nikmehr, Mohammad Javad The annihilator ideal graph of a commutative ring. (English) Zbl 1310.13011 J. Korean Math. Soc. 52, No. 2, 417-429 (2015). MSC: 13A99 05C75 05C69 PDFBibTeX XMLCite \textit{A. Alibemani} et al., J. Korean Math. Soc. 52, No. 2, 417--429 (2015; Zbl 1310.13011) Full Text: DOI Link
Madadi, Asghar; Zaare-Nahandi, Rashid Cohen-Macaulay \(r\)-partite graphs with minimal clique cover. (English) Zbl 1302.05078 Bull. Iran. Math. Soc. 40, No. 3, 609-617 (2014). MSC: 05C25 13F55 05E40 05E45 PDFBibTeX XMLCite \textit{A. Madadi} and \textit{R. Zaare-Nahandi}, Bull. Iran. Math. Soc. 40, No. 3, 609--617 (2014; Zbl 1302.05078) Full Text: arXiv
Afkhami, M.; Ahmadi, M. R.; Jahani-Nezhad, R.; Khashyarmanesh, K. Cayley graphs of ideals in a commutative ring. (English) Zbl 1297.05105 Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 833-843 (2014). MSC: 05C25 05C12 05C20 05C69 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} et al., Bull. Malays. Math. Sci. Soc. (2) 37, No. 3, 833--843 (2014; Zbl 1297.05105) Full Text: EMIS
Nikmehr, M. J.; Heydari, F. The \(M\)-principal graph of a commutative ring. (English) Zbl 1340.05125 Period. Math. Hung. 68, No. 2, 185-192 (2014). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C25 05C69 13A99 13C99 PDFBibTeX XMLCite \textit{M. J. Nikmehr} and \textit{F. Heydari}, Period. Math. Hung. 68, No. 2, 185--192 (2014; Zbl 1340.05125) Full Text: DOI arXiv
Afkhami, M.; Barati, Z.; Khashyarmanesh, K.; Paknejad, N. Cayley sum graphs of ideals of a commutative ring. (English) Zbl 1306.05091 J. Aust. Math. Soc. 96, No. 3, 289-302 (2014). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 05C25 05C10 05C69 05C20 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} et al., J. Aust. Math. Soc. 96, No. 3, 289--302 (2014; Zbl 1306.05091) Full Text: DOI
Aliniaeifard, F.; Behboodi, M.; Mehdi-Nezhad, E.; Rahimi, A. M. The annihilating-ideal graph of a commutative ring with respect to an ideal. (English) Zbl 1287.05125 Commun. Algebra 42, No. 5, 2269-2284 (2014). MSC: 05C75 13A15 13A99 PDFBibTeX XMLCite \textit{F. Aliniaeifard} et al., Commun. Algebra 42, No. 5, 2269--2284 (2014; Zbl 1287.05125) Full Text: DOI
Aalipour, G.; Akbari, S.; Behboodi, M.; Nikandish, R.; Nikmehr, M. J.; Shaveisi, F. The classification of the annihilating-ideal graphs of commutative rings. (English) Zbl 1286.05065 Algebra Colloq. 21, No. 2, 249-256 (2014). MSC: 05C25 05C15 05C69 13E05 13E10 16P60 PDFBibTeX XMLCite \textit{G. Aalipour} et al., Algebra Colloq. 21, No. 2, 249--256 (2014; Zbl 1286.05065) Full Text: DOI
Akbari, S.; Heydari, F. The regular graph of a commutative ring. (English) Zbl 1299.05152 Period. Math. Hung. 67, No. 2, 211-220 (2013). Reviewer: Gábor Horváth (Debrecen) MSC: 05C25 05C15 05C69 13E05 PDFBibTeX XMLCite \textit{S. Akbari} and \textit{F. Heydari}, Period. Math. Hung. 67, No. 2, 211--220 (2013; Zbl 1299.05152) Full Text: DOI
Afkhami, Mojgan; Khashyarmanesh, Kazem Total graphs of polynomial rings and rings of fractions. (English) Zbl 1280.05057 Discrete Math. Algorithms Appl. 5, No. 4, Article ID 1350035, 12 p. (2013). MSC: 05C25 05C12 05C15 13B25 13B30 PDFBibTeX XMLCite \textit{M. Afkhami} and \textit{K. Khashyarmanesh}, Discrete Math. Algorithms Appl. 5, No. 4, Article ID 1350035, 12 p. (2013; Zbl 1280.05057) Full Text: DOI
Azimi, A.; Erfanian, A.; Farrokhi D. G., M. The Jacobson graph of commutative rings. (English) Zbl 1262.05076 J. Algebra Appl. 12, No. 3, Paper No. 1250179, 18 p. (2013). MSC: 05C25 05C69 05C10 05C15 05C17 16P10 13H99 16N20 PDFBibTeX XMLCite \textit{A. Azimi} et al., J. Algebra Appl. 12, No. 3, Paper No. 1250179, 18 p. (2013; Zbl 1262.05076) Full Text: DOI
Ye, Meng; Wu, Tongsuo Co-maximal ideal graphs of commutative rings. (English) Zbl 1253.13006 J. Algebra Appl. 11, No. 6, Paper No. 1250114, 14 p. (2012). MSC: 13A15 05C75 PDFBibTeX XMLCite \textit{M. Ye} and \textit{T. Wu}, J. Algebra Appl. 11, No. 6, Paper No. 1250114, 14 p. (2012; Zbl 1253.13006) Full Text: DOI
Afkhami, Mojgan; Khashyarmanesh, Kazem On the cozero-divisor graphs of commutative rings and their complements. (English) Zbl 1251.05072 Bull. Malays. Math. Sci. Soc. (2) 35, No. 4, 935-944 (2012). MSC: 05C25 05C69 05C75 13A15 PDFBibTeX XMLCite \textit{M. Afkhami} and \textit{K. Khashyarmanesh}, Bull. Malays. Math. Sci. Soc. (2) 35, No. 4, 935--944 (2012; Zbl 1251.05072) Full Text: Link
Aalipour, G.; Akbari, S.; Nikandish, R.; Nikmehr, M. J.; Shaveisi, F. On the coloring of the annihilating-ideal graph of a commutative ring. (English) Zbl 1246.05069 Discrete Math. 312, No. 17, 2620-2626 (2012). MSC: 05C25 05C15 13A99 PDFBibTeX XMLCite \textit{G. Aalipour} et al., Discrete Math. 312, No. 17, 2620--2626 (2012; Zbl 1246.05069) Full Text: DOI
Kiani, Dariush; Aghaei, Mohsen Molla Haji On the unitary Cayley graph of a ring. (English) Zbl 1264.05066 Electron. J. Comb. 19, No. 2, Research Paper P10, 10 p. (2012). MSC: 05C25 13A99 PDFBibTeX XMLCite \textit{D. Kiani} and \textit{M. M. H. Aghaei}, Electron. J. Comb. 19, No. 2, Research Paper P10, 10 p. (2012; Zbl 1264.05066) Full Text: EMIS
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
Maimani, H. R.; Pournaki, M. R.; Yassemi, S. Zero-divisor graph with respect to an ideal. (English) Zbl 1092.13004 Commun. Algebra 34, No. 3, 923-929 (2006). Reviewer: Dieter Rautenbach (Bonn) MSC: 13A15 05C75 PDFBibTeX XMLCite \textit{H. R. Maimani} et al., Commun. Algebra 34, No. 3, 923--929 (2006; Zbl 1092.13004) Full Text: DOI
Bhatwadekar, S. M.; Dumaldar, Mahesh N.; Sharma, Pramod K. Some non-chromatic rings. (English) Zbl 0888.05026 Commun. Algebra 26, No. 2, 477-505 (1998). Reviewer: I.Tomescu (Bucureşti) MSC: 05C15 13A99 PDFBibTeX XMLCite \textit{S. M. Bhatwadekar} et al., Commun. Algebra 26, No. 2, 477--505 (1998; Zbl 0888.05026) Full Text: DOI
Sharma, Pramod K.; Bhatwadekar, S. M. A note on graphical representation of rings. (English) Zbl 0838.05051 J. Algebra 176, No. 1, 124-127 (1995). Reviewer: K.Chandrasekhara Rao (Karaikudi) MSC: 05C15 13A99 PDFBibTeX XMLCite \textit{P. K. Sharma} and \textit{S. M. Bhatwadekar}, J. Algebra 176, No. 1, 124--127 (1995; Zbl 0838.05051) Full Text: DOI
Beck, Istvan Coloring of commutative rings. (English) Zbl 0654.13001 J. Algebra 116, No. 1, 208-226 (1988). Reviewer: J.Neggers (Tuscaloosa) MSC: 13A99 05C15 PDFBibTeX XMLCite \textit{I. Beck}, J. Algebra 116, No. 1, 208--226 (1988; Zbl 0654.13001) Full Text: DOI