Cooper, Susan M.; Noteboom, Ben Symbolic power decompositions of disjoint cycle graphs. (English) Zbl 07793923 J. Algebra Appl. 23, No. 4, Article ID 2450068, 26 p. (2024). Reviewer: Mehrdad Nasernejad (Lens) MSC: 13F20 13A02 14N05 PDFBibTeX XMLCite \textit{S. M. Cooper} and \textit{B. Noteboom}, J. Algebra Appl. 23, No. 4, Article ID 2450068, 26 p. (2024; Zbl 07793923) Full Text: DOI
Imdadul Hoque, Hussain Mohammed; Saikia, Helen Kumari; Goswami, Jituparna; Patwari, Diksha Non-nilpotent graph of commutative rings. (English) Zbl 1527.05087 J. Algebr. Syst. 12, No. 1, 149-162 (2024). MSC: 05C25 13A15 PDFBibTeX XMLCite \textit{H. M. Imdadul Hoque} et al., J. Algebr. Syst. 12, No. 1, 149--162 (2024; Zbl 1527.05087) Full Text: DOI
Shahriyari, R.; Nikandish, R.; Tehranian, A.; Rasouli, H. Computing the strong metric dimension for co-maximal ideal graphs of commutative rings. (English) Zbl 07778111 J. Algebra Appl. 23, No. 3, Article ID 2450048, 13 p. (2024). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A99 05C78 05C12 PDFBibTeX XMLCite \textit{R. Shahriyari} et al., J. Algebra Appl. 23, No. 3, Article ID 2450048, 13 p. (2024; Zbl 07778111) Full Text: DOI arXiv
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
Pazoki, M. The forcing metric dimension of a total graph of nonzero annihilating ideals. (English) Zbl 07786460 Ukr. Math. J. 75, No. 6, 964-971 (2023) and Ukr. Mat. Zh. 75, No. 6, 842-848 (2023). MSC: 13Axx 05E40 PDFBibTeX XMLCite \textit{M. Pazoki}, Ukr. Math. J. 75, No. 6, 964--971 (2023; Zbl 07786460) Full Text: DOI
Ebrahimi, Sh.; Nikandish, R.; Tehranian, A.; Rasouli, H. Metric dimension of complement of annihilator graphs associated with commutative rings. (English) Zbl 1524.13031 Appl. Algebra Eng. Commun. Comput. 34, No. 6, 995-1011 (2023). Reviewer: Monica La Barbiera (Messina) MSC: 13A99 05C78 05C12 PDFBibTeX XMLCite \textit{Sh. Ebrahimi} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 6, 995--1011 (2023; Zbl 1524.13031) Full Text: DOI
Selvakumar, K.; Ramanathan, V.; Selvaraj, C. On the genus of dot product graph of a commutative ring. (English) Zbl 1522.13036 Indian J. Pure Appl. Math. 54, No. 2, 558-567 (2023). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13M05 05C10 05C25 05Cxx 05-01 PDFBibTeX XMLCite \textit{K. Selvakumar} et al., Indian J. Pure Appl. Math. 54, No. 2, 558--567 (2023; Zbl 1522.13036) Full Text: DOI
Pranjali, Pranjali Line signed graph of a signed unit graph of commutative rings. (English) Zbl 1524.05130 Commun. Comb. Optim. 8, No. 2, 313-326 (2023). MSC: 05C22 05C75 13A99 PDFBibTeX XMLCite \textit{P. Pranjali}, Commun. Comb. Optim. 8, No. 2, 313--326 (2023; Zbl 1524.05130) Full Text: DOI
Fakeih, W. M.; Asir, T. Symmetric graph of a ring with involution. (English) Zbl 1518.13005 Indian J. Pure Appl. Math. 54, No. 1, 288-296 (2023). Reviewer: A. Mimouni (Dhahran) MSC: 13A70 05C75 05C25 13M05 16P10 16W10 PDFBibTeX XMLCite \textit{W. M. Fakeih} and \textit{T. Asir}, Indian J. Pure Appl. Math. 54, No. 1, 288--296 (2023; Zbl 1518.13005) Full Text: DOI
Celoria, Daniele Filtered simplicial homology, graph dissimilarity and überhomology. (English) Zbl 1512.05415 J. Algebr. Comb. 57, No. 3, 859-904 (2023). MSC: 05E45 57Q70 05C60 13P20 57Q15 PDFBibTeX XMLCite \textit{D. Celoria}, J. Algebr. Comb. 57, No. 3, 859--904 (2023; Zbl 1512.05415) Full Text: DOI arXiv
Louartiti, Khalid Zero-divisor graphs of small upper irredundance number. (English) Zbl 07801876 Bol. Soc. Parana. Mat. (3) 40, Paper No. 88, 5 p. (2022). MSC: 16S50 13A99 05C99 PDFBibTeX XMLCite \textit{K. Louartiti}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 88, 5 p. (2022; Zbl 07801876) Full Text: DOI
Chelvam, T. Tamizh Complement of the generalized total graph of commutative rings – a survey. (English) Zbl 1523.13011 Ashraf, Mohammad (ed.) et al., Algebra and related topics with applications, ICARTA-2019, Aligarh, India, December 17–19, 2019. Singapore: Springer. Springer Proc. Math. Stat. 392, 477-499 (2022). MSC: 13A70 05C25 13-02 PDFBibTeX XMLCite \textit{T. T. Chelvam}, Springer Proc. Math. Stat. 392, 477--499 (2022; Zbl 1523.13011) Full Text: DOI
Authman, Mohammed N.; Mohammad, Husam Q.; Shuker, Nazar H. The domination number of idempotent divisor graphs of commutative rings. (English) Zbl 1520.05070 Palest. J. Math. 11, No. 4, 300-306 (2022). MSC: 05C69 13A70 05C25 PDFBibTeX XMLCite \textit{M. N. Authman} et al., Palest. J. Math. 11, No. 4, 300--306 (2022; Zbl 1520.05070) Full Text: Link
Mohammad, Husam Qasem; Ibrahem, Shaymaa Haleem.; Khaleel, Luma Ahmed The metric chromatic number of zero divisor graph of a ring \(\mathrm{Z_n} \). (English) Zbl 1517.13006 Int. J. Math. Math. Sci. 2022, Article ID 9069827, 4 p. (2022). MSC: 13A70 05C99 PDFBibTeX XMLCite \textit{H. Q. Mohammad} et al., Int. J. Math. Math. Sci. 2022, Article ID 9069827, 4 p. (2022; Zbl 1517.13006) Full Text: DOI
Ahmad, Ali Computing the total vertex irregularity strength associated with zero divisor graph of commutative ring. (English) Zbl 1524.05133 Kragujevac J. Math. 46, No. 5, 711-719 (2022). MSC: 05C25 05C12 13A70 PDFBibTeX XMLCite \textit{A. Ahmad}, Kragujevac J. Math. 46, No. 5, 711--719 (2022; Zbl 1524.05133) Full Text: DOI Link
Barati, Z.; Afkhami, M.; Kalaimurugan, G.; Vignesh, P. On the annihilator graph of a commutative ring. (English) Zbl 1498.05122 Indian J. Pure Appl. Math. 53, No. 4, 923-931 (2022). MSC: 05C25 05C10 13A15 PDFBibTeX XMLCite \textit{Z. Barati} et al., Indian J. Pure Appl. Math. 53, No. 4, 923--931 (2022; Zbl 1498.05122) Full Text: DOI
Ramanathan, V.; Selvaraj, C. The projective \(3\)-annihilating-ideal hypergraphs. (English) Zbl 1493.05152 Discrete Math. Algorithms Appl. 14, No. 5, Article ID 2250005, 12 p. (2022). MSC: 05C25 05C65 13A15 13M05 PDFBibTeX XMLCite \textit{V. Ramanathan} and \textit{C. Selvaraj}, Discrete Math. Algorithms Appl. 14, No. 5, Article ID 2250005, 12 p. (2022; Zbl 1493.05152) Full Text: DOI
Asir, Thangaraj; Kumar, Arun; Mehdi, Alveera On the module intersection graph of ideals of rings. (English) Zbl 1502.13020 Rev. Unión Mat. Argent. 63, No. 1, 93-107 (2022). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 16P20 05C25 05C17 PDFBibTeX XMLCite \textit{T. Asir} et al., Rev. Unión Mat. Argent. 63, No. 1, 93--107 (2022; Zbl 1502.13020) 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
Abachi, N.; Adlifard, M.; Bakhtyiari, M. On the strong metric dimension of a total graph of nonzero annihilating ideals. (English) Zbl 1486.13013 Bull. Aust. Math. Soc. 105, No. 3, 431-439 (2022). MSC: 13A70 13A15 05C99 05C25 13B99 PDFBibTeX XMLCite \textit{N. Abachi} et al., Bull. Aust. Math. Soc. 105, No. 3, 431--439 (2022; Zbl 1486.13013) Full Text: DOI
Sharma, Sahil; Bhat, Vijay Kumar Fault-tolerant metric dimension of zero-divisor graphs of commutative rings. (English) Zbl 1487.05124 AKCE Int. J. Graphs Comb. 19, No. 1, 24-30 (2022). MSC: 05C25 05C12 13A70 PDFBibTeX XMLCite \textit{S. Sharma} and \textit{V. K. Bhat}, AKCE Int. J. Graphs Comb. 19, No. 1, 24--30 (2022; Zbl 1487.05124) Full Text: DOI
Taghidoust Laskukalayeh, Mozhgan; Gholamnia Taleshani, Mona; Abbasi, Ahmad On some total graphs on finite rings. (English) Zbl 1482.13008 J. Algebr. Syst. 9, No. 2, 267-280 (2022). MSC: 13A15 05C75 05C69 13A70 PDFBibTeX XMLCite \textit{M. Taghidoust Laskukalayeh} et al., J. Algebr. Syst. 9, No. 2, 267--280 (2022; Zbl 1482.13008) Full Text: DOI
Asir, T.; Mano, K.; Subathra, M. A survey on genus of selected graphs from commutative rings. (English) Zbl 1497.13022 Badawi, Ayman (ed.) et al., Rings, monoids and module theory, AUS-ICMS 2020, Sharjah, United Arab Emirates, February 6–9, 2020. Singapore: Springer. Springer Proc. Math. Stat. 382, 261-285 (2021). MSC: 13A70 13A15 13M05 05C75 05C25 13-02 PDFBibTeX XMLCite \textit{T. Asir} et al., Springer Proc. Math. Stat. 382, 261--285 (2021; Zbl 1497.13022) Full Text: DOI
Goswami, Jituparna; Shabani, Masoumeh Domination in the entire nilpotent element graph of a module over a commutative ring. (English) Zbl 1483.13016 Proyecciones 40, No. 6, 1411-1430 (2021). MSC: 13A70 05C69 05C25 PDFBibTeX XMLCite \textit{J. Goswami} and \textit{M. Shabani}, Proyecciones 40, No. 6, 1411--1430 (2021; Zbl 1483.13016) Full Text: DOI
Redmond, Shane; Szabo, Steve When metric and upper dimensions differ in zero divisor graphs of commutative rings. (English) Zbl 1499.13029 DML, Discrete Math. Lett. 5, 34-40 (2021). MSC: 13A99 05C12 05C78 PDFBibTeX XMLCite \textit{S. Redmond} and \textit{S. Szabo}, DML, Discrete Math. Lett. 5, 34--40 (2021; Zbl 1499.13029) Full Text: DOI
Pirzada, S.; Aijaz, M. On graphs with same metric and upper dimension. (English) Zbl 1475.05057 Discrete Math. Algorithms Appl. 13, No. 2, Article ID 2150015, 10 p. (2021). MSC: 05C12 13A70 05C78 PDFBibTeX XMLCite \textit{S. Pirzada} and \textit{M. Aijaz}, Discrete Math. Algorithms Appl. 13, No. 2, Article ID 2150015, 10 p. (2021; Zbl 1475.05057) Full Text: DOI
Fatehi, Morteza; Khashyarmanesh, Kazem; Mohammadian, Abbas Rings whose total graphs have small vertex-arboricity and arboricity. (English) Zbl 1488.05230 Hacet. J. Math. Stat. 50, No. 1, 110-119 (2021). MSC: 05C25 13A99 PDFBibTeX XMLCite \textit{M. Fatehi} et al., Hacet. J. Math. Stat. 50, No. 1, 110--119 (2021; Zbl 1488.05230) Full Text: DOI
Muthana, Najat; Mamouni, Abdellah On defensive alliance in zero-divisor graphs. (English) Zbl 1477.13022 J. Algebra Appl. 20, No. 9, Article ID 2150155, 14 p. (2021). Reviewer: A. Mimouni (Dhahran) MSC: 13A70 05C25 PDFBibTeX XMLCite \textit{N. Muthana} and \textit{A. Mamouni}, J. Algebra Appl. 20, No. 9, Article ID 2150155, 14 p. (2021; Zbl 1477.13022) Full Text: DOI
Ebrahimi, Sh.; Nikandish, R.; Tehranian, A.; Rasouli, H. On the strong metric dimension of annihilator graphs of commutative rings. (English) Zbl 1467.13011 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2507-2517 (2021). MSC: 13A70 05C78 05C12 PDFBibTeX XMLCite \textit{Sh. Ebrahimi} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2507--2517 (2021; Zbl 1467.13011) Full Text: DOI
Nikandish, R.; Nikmehr, M. J.; Bakhtyiari, M. Metric and strong metric dimension in cozero-divisor graphs. (English) Zbl 1466.13006 Mediterr. J. Math. 18, No. 3, Paper No. 112, 12 p. (2021). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C78 05C12 PDFBibTeX XMLCite \textit{R. Nikandish} et al., Mediterr. J. Math. 18, No. 3, Paper No. 112, 12 p. (2021; Zbl 1466.13006) Full Text: DOI
Ramanathan, V. On projective intersection graph of ideals of commutative rings. (English) Zbl 1464.05184 J. Algebra Appl. 20, No. 2, Article ID 2150017, 16 p. (2021). MSC: 05C25 05C69 05C12 13A70 13A15 PDFBibTeX XMLCite \textit{V. Ramanathan}, J. Algebra Appl. 20, No. 2, Article ID 2150017, 16 p. (2021; Zbl 1464.05184) Full Text: DOI
Soleymanivarniab, V.; Nikandish, R.; Tehranian, A. On the metric dimension of strongly annihilating-ideal graphs of commutative rings. (English) Zbl 1473.13006 Acta Univ. Sapientiae, Math. 12, No. 2, 358-369 (2020). MSC: 13A70 05C12 05C78 PDFBibTeX XMLCite \textit{V. Soleymanivarniab} et al., Acta Univ. Sapientiae, Math. 12, No. 2, 358--369 (2020; Zbl 1473.13006) Full Text: DOI
Kavitha, S.; Kala, R. A note on comaximal ideal graph of commutative rings. (English) Zbl 1473.05124 AKCE Int. J. Graphs Comb. 17, No. 1, 453-460 (2020). MSC: 05C25 13A15 05C69 PDFBibTeX XMLCite \textit{S. Kavitha} and \textit{R. Kala}, AKCE Int. J. Graphs Comb. 17, No. 1, 453--460 (2020; Zbl 1473.05124) Full Text: DOI
Pirzada, S.; Aijaz, M.; Redmond, S. P. Upper dimension and bases of zero-divisor graphs of commutative rings. (English) Zbl 1473.05125 AKCE Int. J. Graphs Comb. 17, No. 1, 168-173 (2020). MSC: 05C25 13A99 05E40 PDFBibTeX XMLCite \textit{S. Pirzada} et al., AKCE Int. J. Graphs Comb. 17, No. 1, 168--173 (2020; Zbl 1473.05125) Full Text: DOI
Dolžan, David The metric dimension of the annihilating-ideal graph of a finite commutative ring. (English) Zbl 1464.05176 Bull. Aust. Math. Soc. 103, No. 3, 362-368 (2020). MSC: 05C25 05C12 13F10 13A15 PDFBibTeX XMLCite \textit{D. Dolžan}, Bull. Aust. Math. Soc. 103, No. 3, 362--368 (2020; Zbl 1464.05176) Full Text: DOI arXiv
Pirzada, S.; Aijaz, M. Metric and upper dimension of zero divisor graphs associated to commutative rings. (English) Zbl 1468.13012 Acta Univ. Sapientiae, Inform. 12, No. 1, 84-101 (2020). Reviewer: Yu Houyi (Chongqing) MSC: 13A70 05C78 05C12 PDFBibTeX XMLCite \textit{S. Pirzada} and \textit{M. Aijaz}, Acta Univ. Sapientiae, Inform. 12, No. 1, 84--101 (2020; Zbl 1468.13012) Full Text: DOI
Laird, Lucas; Tillquist, Richard C.; Becker, Stephen; Lladser, Manuel E. Resolvability of Hamming graphs. (English) Zbl 1450.05019 SIAM J. Discrete Math. 34, No. 4, 2063-2081 (2020). MSC: 05C12 05C50 05C62 13P10 68R10 90C35 92C40 PDFBibTeX XMLCite \textit{L. Laird} et al., SIAM J. Discrete Math. 34, No. 4, 2063--2081 (2020; Zbl 1450.05019) Full Text: DOI arXiv
Selvakumar, K.; Amritha, V. C. The \(k\)-maximal hypergraph of commutative rings. (English) Zbl 1451.13021 Beitr. Algebra Geom. 61, No. 4, 747-757 (2020). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C65 05C35 05C10 05C12 05C25 05C69 13A15 PDFBibTeX XMLCite \textit{K. Selvakumar} and \textit{V. C. Amritha}, Beitr. Algebra Geom. 61, No. 4, 747--757 (2020; Zbl 1451.13021) Full Text: DOI
Li, Aihua; Miller, Ryan; Tucci, Ralph P. A note on the uniqueness of zero-divisor graphs with loops (research). (English) Zbl 1440.13034 Acu, Bahar (ed.) et al., Advances in mathematical sciences. AWM research symposium, Houston, TX, USA, April 6–7, 2019. Cham: Springer. Assoc. Women Math. Ser. 21, 173-179 (2020). MSC: 13A70 PDFBibTeX XMLCite \textit{A. Li} et al., Assoc. Women Math. Ser. 21, 173--179 (2020; Zbl 1440.13034) Full Text: DOI
Ashraf, Mohammad; Kumar, Mohit; Mohammad, Ghulam A subspace based subspace inclusion graph on vector space. (English) Zbl 1441.13016 Contrib. Discrete Math. 15, No. 2, 73-83 (2020). Reviewer: Monica La Barbiera (Messina) MSC: 13A70 05C07 05C69 PDFBibTeX XMLCite \textit{M. Ashraf} et al., Contrib. Discrete Math. 15, No. 2, 73--83 (2020; Zbl 1441.13016) Full Text: DOI
Soleymanivarniab, V.; Tehranian, A.; Nikandish, R. The metric dimension of annihilator graphs of commutative rings. (English) Zbl 1442.13020 J. Algebra Appl. 19, No. 5, Article ID 2050089, 12 p. (2020). Reviewer: T. Tamizh Chelvam (Tirunelveli) MSC: 13A70 05C78 05C12 PDFBibTeX XMLCite \textit{V. Soleymanivarniab} et al., J. Algebra Appl. 19, No. 5, Article ID 2050089, 12 p. (2020; Zbl 1442.13020) Full Text: DOI
Goswami, Jituparna Some domination properties of the total graph of a module with respect to singular submodule. (English) Zbl 1442.05154 Online J. Anal. Comb. 15, Article 3, 10 p. (2020). MSC: 05C69 05C25 13A70 PDFBibTeX XMLCite \textit{J. Goswami}, Online J. Anal. Comb. 15, Article 3, 10 p. (2020; Zbl 1442.05154) Full Text: Link
Tamizh Chelvam, T.; Balamurugan, M. Complement of the generalized total graph of \(\mathbb{Z}_n\). (English) Zbl 1499.05296 Filomat 33, No. 18, 6103-6113 (2019). MSC: 05C25 05C75 13A15 13M05 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{M. Balamurugan}, Filomat 33, No. 18, 6103--6113 (2019; Zbl 1499.05296) Full Text: DOI
Babaei, Sakineh; Payrovi, Shiroyeh; Sevim, Esra Sengelen A submodule-based zero divisors graph for modules. (English) Zbl 1455.13014 Iran. J. Math. Sci. Inform. 14, No. 1, 147-157 (2019). MSC: 13A70 05C75 PDFBibTeX XMLCite \textit{S. Babaei} et al., Iran. J. Math. Sci. Inform. 14, No. 1, 147--157 (2019; Zbl 1455.13014) Full Text: Link
Selvakumar, K.; Ramanathan, V. The \(k\)-annihilating-ideal hypergraph of commutative ring. (English) Zbl 1435.13003 AKCE Int. J. Graphs Comb. 16, No. 3, 241-252 (2019). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05E16 05C65 PDFBibTeX XMLCite \textit{K. Selvakumar} and \textit{V. Ramanathan}, AKCE Int. J. Graphs Comb. 16, No. 3, 241--252 (2019; Zbl 1435.13003) Full Text: DOI
Selvakumar, K.; Ramanathan, V. On the genus of the \(k\)-annihilating-ideal hypergraph of commutative rings. (English) Zbl 1433.13006 Indian J. Pure Appl. Math. 50, No. 2, 461-475 (2019). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A70 05C65 PDFBibTeX XMLCite \textit{K. Selvakumar} and \textit{V. Ramanathan}, Indian J. Pure Appl. Math. 50, No. 2, 461--475 (2019; Zbl 1433.13006) Full Text: DOI
Bhat, M. Imran; Pirzada, Shariefuddin On strong metric dimension of zero-divisor graphs of rings. (English) Zbl 1427.13003 Korean J. Math. 27, No. 3, 563-580 (2019). MSC: 13A05 05C78 05C12 05C25 PDFBibTeX XMLCite \textit{M. I. Bhat} and \textit{S. Pirzada}, Korean J. Math. 27, No. 3, 563--580 (2019; Zbl 1427.13003) Full Text: DOI
Selvakumar, K.; Subajini, M.; Nikmehr, M. J. On the genus of essential graph of commutative rings. (English) Zbl 1419.13013 Australas. J. Comb. 74, Part 1, 74-85 (2019). MSC: 13A99 05C10 05C25 PDFBibTeX XMLCite \textit{K. Selvakumar} et al., Australas. J. Comb. 74, Part 1, 74--85 (2019; Zbl 1419.13013) Full Text: Link
Kumar, Ravindra; Prakash, Om Divisor graph of the complement of \(\Gamma(R)\). (English) Zbl 1415.05071 Asian-Eur. J. Math. 12, No. 4, Article ID 1950057, 9 p. (2019). MSC: 05C25 05C20 05C78 13A99 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{O. Prakash}, Asian-Eur. J. Math. 12, No. 4, Article ID 1950057, 9 p. (2019; Zbl 1415.05071) Full Text: DOI arXiv
Thirugnanam, Tamizh Chelvam; Selvaraj, Anukumar Kathirvel Note on generalized Cayley graph of finite rings and its complement. (English) Zbl 1411.05119 J. Anal. 27, No. 2, 555-566 (2019). MSC: 05C25 05C38 05C75 13M05 16U60 PDFBibTeX XMLCite \textit{T. C. Thirugnanam} and \textit{A. K. Selvaraj}, J. Anal. 27, No. 2, 555--566 (2019; Zbl 1411.05119) Full Text: DOI
Thirugnanam, Tamizh Chelvam; Mariappan, Balamurugan Complement of the generalized total graph of commutative rings. (English) Zbl 1411.05118 J. Anal. 27, No. 2, 539-553 (2019). MSC: 05C25 05C75 13A15 13M05 PDFBibTeX XMLCite \textit{T. C. Thirugnanam} and \textit{B. Mariappan}, J. Anal. 27, No. 2, 539--553 (2019; Zbl 1411.05118) Full Text: DOI
Tamizh Chelvam, T.; Anukumar Kathirvel, S. Generalized unit and unitary Cayley graphs of finite rings. (English) Zbl 1409.13046 J. Algebra Appl. 18, No. 1, Article ID 1950006, 21 p. (2019). MSC: 13M05 05C25 05C45 05C75 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{S. Anukumar Kathirvel}, J. Algebra Appl. 18, No. 1, Article ID 1950006, 21 p. (2019; Zbl 1409.13046) Full Text: DOI
Selvakumar, K.; Amritha, V. C. On the genus of the \(k\)-maximal hypergraph of commutative rings. (English) Zbl 1404.05142 Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950010, 9 p. (2019). MSC: 05C65 05C60 05C25 05C75 05C35 13A15 13M05 PDFBibTeX XMLCite \textit{K. Selvakumar} and \textit{V. C. Amritha}, Discrete Math. Algorithms Appl. 11, No. 1, Article ID 1950010, 9 p. (2019; Zbl 1404.05142) Full Text: DOI
Pirzada, S.; Bhat, M. Imran Computing metric dimension of compressed zero divisor graphs associated to rings. (English) Zbl 1411.13003 Acta Univ. Sapientiae, Math. 10, No. 2, 298-318 (2018). MSC: 13A05 05C78 05C12 05C25 13A15 PDFBibTeX XMLCite \textit{S. Pirzada} and \textit{M. I. Bhat}, Acta Univ. Sapientiae, Math. 10, No. 2, 298--318 (2018; Zbl 1411.13003) Full Text: DOI
Mallika, A.; Kala, R. Nilpotent graphs with crosscap at most two. (English) Zbl 1403.05062 AKCE Int. J. Graphs Comb. 15, No. 3, 229-237 (2018). MSC: 05C25 05C10 13A15 PDFBibTeX XMLCite \textit{A. Mallika} and \textit{R. Kala}, AKCE Int. J. Graphs Comb. 15, No. 3, 229--237 (2018; Zbl 1403.05062) Full Text: DOI
Tamizh Chelvam, T.; Balamurugan, M. On the generalized total graph of fields and its complement. (English) Zbl 1393.05224 Palest. J. Math. 7, No. 2, 450-457 (2018). MSC: 05C75 05C25 13A15 13M05 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{M. Balamurugan}, Palest. J. Math. 7, No. 2, 450--457 (2018; Zbl 1393.05224) Full Text: Link
Ghayour, H.; Erfanian, A.; Azimi, A. Some results on the Jacobson graph of a commutative ring. (English) Zbl 1401.13076 Rend. Circ. Mat. Palermo (2) 67, No. 1, 33-41 (2018). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 13H99 05C10 05C15 05C17 05C69 16P10 16N20 PDFBibTeX XMLCite \textit{H. Ghayour} et al., Rend. Circ. Mat. Palermo (2) 67, No. 1, 33--41 (2018; Zbl 1401.13076) Full Text: DOI
Mallika, A.; Kala, R. Rings whose cozero-divisor graph has crosscap number at most two. (English) Zbl 1386.05138 Discrete Math. Algorithms Appl. 9, No. 6, Article ID 1750074, 13 p. (2017). MSC: 05C69 13A15 PDFBibTeX XMLCite \textit{A. Mallika} and \textit{R. Kala}, Discrete Math. Algorithms Appl. 9, No. 6, Article ID 1750074, 13 p. (2017; Zbl 1386.05138) Full Text: DOI
Selvakumar, K.; Ramanathan, V. Classification of non-local rings with projective 3-zero-divisor hypergraph. (English) Zbl 1375.05131 Ric. Mat. 66, No. 2, 457-468 (2017). MSC: 05C25 05C65 05C69 05C12 13A99 PDFBibTeX XMLCite \textit{K. Selvakumar} and \textit{V. Ramanathan}, Ric. Mat. 66, No. 2, 457--468 (2017; Zbl 1375.05131) Full Text: DOI
Kavitha, S.; Kala, R. On the genus of graphs from commutative rings. (English) Zbl 1372.05098 AKCE Int. J. Graphs Comb. 14, No. 1, 27-34 (2017). MSC: 05C25 05C10 13A15 PDFBibTeX XMLCite \textit{S. Kavitha} and \textit{R. Kala}, AKCE Int. J. Graphs Comb. 14, No. 1, 27--34 (2017; Zbl 1372.05098) Full Text: DOI
Mallika, A.; Kala, R. A note on zero-divisor graph of amalgamated duplication of a ring along an ideal. (English) Zbl 1372.05099 AKCE Int. J. Graphs Comb. 14, No. 1, 18-26 (2017). MSC: 05C25 05C10 05C69 13A15 PDFBibTeX XMLCite \textit{A. Mallika} and \textit{R. Kala}, AKCE Int. J. Graphs Comb. 14, No. 1, 18--26 (2017; Zbl 1372.05099) Full Text: DOI
Kala, R.; Kavitha, S. A typical graph structure of a ring. (English) Zbl 1463.05264 Trans. Comb. 4, No. 2, 37-44 (2015). MSC: 05C25 05C10 13A99 13M05 PDFBibTeX XMLCite \textit{R. Kala} and \textit{S. Kavitha}, Trans. Comb. 4, No. 2, 37--44 (2015; Zbl 1463.05264) Full Text: DOI
Asir, T.; Chelvam, T. Tamizh On the genus of generalized unit and unitary Cayley graphs of a commutative ring. (English) Zbl 1299.05280 Acta Math. Hung. 142, No. 2, 444-458 (2014). Reviewer: Gábor Horváth (Debrecen) MSC: 05C25 05C75 13M05 13E10 PDFBibTeX XMLCite \textit{T. Asir} and \textit{T. T. Chelvam}, Acta Math. Hung. 142, No. 2, 444--458 (2014; Zbl 1299.05280) Full Text: DOI
Asir, T.; Chelvam, T. Tamizh The intersection graph of gamma sets in the total graph of a commutative ring. II. (English) Zbl 1264.05058 J. Algebra Appl. 12, No. 4, Paper No. 1250199, 14 p. (2013). MSC: 05C25 05C17 05C40 05C45 13A15 13M05 16P20 PDFBibTeX XMLCite \textit{T. Asir} and \textit{T. T. Chelvam}, J. Algebra Appl. 12, No. 4, Paper No. 1250199, 14 p. (2013; Zbl 1264.05058) 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
Redmond, Shane P. An ideal-based zero-divisor graph of a commutative ring. (English) Zbl 1020.13001 Commun. Algebra 31, No. 9, 4425-4443 (2003). MSC: 13A05 05C99 13A15 PDFBibTeX XMLCite \textit{S. P. Redmond}, Commun. Algebra 31, No. 9, 4425--4443 (2003; Zbl 1020.13001) Full Text: DOI
Józefiak, Tadeusz; Sagan, Bruce E. Basic derivations for subarrangements of Coxeter arrangements. (English) Zbl 0798.05069 J. Algebr. Comb. 2, No. 3, 291-320 (1993). Reviewer: M.J.Falk (Flagstaff) MSC: 05C99 52C35 05E05 05B99 13B10 PDFBibTeX XMLCite \textit{T. Józefiak} and \textit{B. E. Sagan}, J. Algebr. Comb. 2, No. 3, 291--320 (1993; Zbl 0798.05069) Full Text: DOI