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
Chin, A. Y. M.; Maimani, H. R.; Pournaki, M. R.; Sivagami, M.; Tamizh Chelvam, T. Unitary Cayley graphs whose Roman domination numbers are at most four. (English) Zbl 1485.13019 AKCE Int. J. Graphs Comb. 19, No. 1, 36-40 (2022). MSC: 13A70 13M05 05C75 13H10 05C69 PDFBibTeX XMLCite \textit{A. Y. M. Chin} et al., AKCE Int. J. Graphs Comb. 19, No. 1, 36--40 (2022; Zbl 1485.13019) Full Text: DOI
Tamizh Chelvam, T.; Anukumar Kathirvel, S.; Balamurugan, M. Domination in generalized unit and unitary Cayley graphs of finite rings. (English) Zbl 1447.05105 Indian J. Pure Appl. Math. 51, No. 2, 533-556 (2020). Reviewer: Joy Morris (Lethbridge) MSC: 05C25 05C69 16P10 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} et al., Indian J. Pure Appl. Math. 51, No. 2, 533--556 (2020; Zbl 1447.05105) Full Text: DOI
Sivagami, M.; Tamizh Chelvam, T. On the trace graph of matrices. (English) Zbl 1438.16047 Acta Math. Hung. 158, No. 1, 235-250 (2019). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16S50 05C25 05C45 05C69 PDFBibTeX XMLCite \textit{M. Sivagami} and \textit{T. Tamizh Chelvam}, Acta Math. Hung. 158, No. 1, 235--250 (2019; Zbl 1438.16047) Full Text: DOI
Tamizh Chelvam, T.; Asir, T.; Selvakumar, K. On domination in graphs from commutative rings: a survey. (English) Zbl 1355.05130 Rizvi, Syed Tariq (ed.) et al., Algebra and its applications. ICAA, Aligarh, India, December 15–17, 2014. Proceedings of the conference. Singapore: Springer (ISBN 978-981-10-1650-9/hbk; 978-981-10-1651-6/ebook). Springer Proceedings in Mathematics & Statistics 174, 363-379 (2016). MSC: 05C25 05C69 13A15 13M05 05-02 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} et al., Springer Proc. Math. Stat. 174, 363--379 (2016; Zbl 1355.05130) Full Text: DOI
Tamizh Chelvam, T.; Asir, T. Domination in the total graph of a commutative ring. (English) Zbl 1297.05114 J. Comb. Math. Comb. Comput. 87, 147-158 (2013). Reviewer: Ulrich Knauer (Oldenburg) MSC: 05C25 05C69 13A15 16P10 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{T. Asir}, J. Comb. Math. Comb. Comput. 87, 147--158 (2013; Zbl 1297.05114)
Tamizh Chelvam, T.; Mutharasu, Sivagnanam Subgroups as efficient dominating sets in Cayley graphs. (English) Zbl 1277.05130 Discrete Appl. Math. 161, No. 9, 1187-1190 (2013). MSC: 05C69 05C25 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{S. Mutharasu}, Discrete Appl. Math. 161, No. 9, 1187--1190 (2013; Zbl 1277.05130) Full Text: DOI
Tamizh Chelvam, T.; Asir, T. Intersection graph of gamma sets in the total graph. (English) Zbl 1255.05110 Discuss. Math., Graph Theory 32, No. 2, 341-356 (2012). MSC: 05C40 05C45 05C69 05C15 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{T. Asir}, Discuss. Math., Graph Theory 32, No. 2, 341--356 (2012; Zbl 1255.05110) Full Text: DOI Link
Chelvam, T. Tamizh; Kalaimurugan, G.; Chou, Well Y. The signed star domination number of Cayley graphs. (English) Zbl 1251.05122 Discrete Math. Algorithms Appl. 4, No. 2, 1250017, 10 p. (2012). MSC: 05C69 05C25 05C20 PDFBibTeX XMLCite \textit{T. T. Chelvam} et al., Discrete Math. Algorithms Appl. 4, No. 2, 1250017, 10 p. (2012; Zbl 1251.05122) Full Text: DOI
Chelvam, T. Tamizh; Asir, T. Graphs with constant sum of domination and inverse domination numbers. (English) Zbl 1258.05092 Int. J. Comb. 2012, Article ID 831489, 7 p. (2012). MSC: 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{T. Asir}, Int. J. Comb. 2012, Article ID 831489, 7 p. (2012; Zbl 1258.05092) Full Text: DOI
Chelvam, T. Tamizh; Asir, T. Domination in the total graph on \(\mathbb Z_n\). (English) Zbl 1247.05098 Discrete Math. Algorithms Appl. 3, No. 4, 413-421 (2011). MSC: 05C25 05C69 16P10 11T99 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{T. Asir}, Discrete Math. Algorithms Appl. 3, No. 4, 413--421 (2011; Zbl 1247.05098) Full Text: DOI
Tamizh Chelvam, T.; Grace Prema, G. S. Equality of domination and inverse domination numbers. (English) Zbl 1249.05300 Ars Comb. 95, 103-111 (2010). MSC: 05C69 05C75 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{G. S. Grace Prema}, Ars Comb. 95, 103--111 (2010; Zbl 1249.05300)
Tamizh Chelvam, T.; Mutharasu, Sivagnanam; Rani, I. Domination in generalized circulant graphs. (English) Zbl 1220.05096 Indian J. Math. 52, No. 3, 531-541 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} et al., Indian J. Math. 52, No. 3, 531--541 (2010; Zbl 1220.05096)
Chelvam, T. Tamizh; Chellathurai, S. Robinson Complementary isolated domination number. (English) Zbl 1220.05089 Tamizh Chelvam, T. (ed.) et al., Algebra, graph theory and their applications. New Delhi: Narosa Publishing House (ISBN 978-81-8487-069-5/hbk). 104-112 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{S. R. Chellathurai}, in: Algebra, graph theory and their applications. New Delhi: Narosa Publishing House. 104--112 (2010; Zbl 1220.05089)
Chelvam, T. Tamizh; Prema, G. S. Grace Inverse domination in grid graphs. (English) Zbl 1220.05090 Tamizh Chelvam, T. (ed.) et al., Algebra, graph theory and their applications. New Delhi: Narosa Publishing House (ISBN 978-81-8487-069-5/hbk). 93-103 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{G. S. G. Prema}, in: Algebra, graph theory and their applications. New Delhi: Narosa Publishing House. 93--103 (2010; Zbl 1220.05090)
Tamizh Chelvam, T.; Rani, I. Total and connected domination numbers of Cayley graphs on \(\mathbb{Z}_n\). (English) Zbl 1192.05112 Adv. Stud. Contemp. Math., Kyungshang 20, No. 1, 57-61 (2010). MSC: 05C69 05C25 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{I. Rani}, Adv. Stud. Contemp. Math., Kyungshang 20, No. 1, 57--61 (2010; Zbl 1192.05112)
Chelvam, T. Tamizh; Rani, I. Independent domination number of Cayley graphs on \(\mathbb{Z}_n\). (English) Zbl 1200.05155 J. Comb. Math. Comb. Comput. 69, 251-255 (2009). MSC: 05C69 05C25 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{I. Rani}, J. Comb. Math. Comb. Comput. 69, 251--255 (2009; Zbl 1200.05155)
Chelvam, T. Tamizh; Chellathurai, S. Robinson A note on split domination number of a graph. (English) Zbl 1220.05088 J. Discrete Math. Sci. Cryptography 12, No. 2, 179-186 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{S. R. Chellathurai}, J. Discrete Math. Sci. Cryptography 12, No. 2, 179--186 (2009; Zbl 1220.05088) Full Text: DOI
Tamizh Chelvam, T.; Robinson Chellathurai, S. Complementary nil domination number of a graph. (English) Zbl 1189.05139 Tamkang J. Math. 40, No. 2, 165-172 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{T. Tamizh Chelvam} and \textit{S. Robinson Chellathurai}, Tamkang J. Math. 40, No. 2, 165--172 (2009; Zbl 1189.05139)
Chelvam, T. Tamizh; Prasad, B. Jaya Common point domination number. (English) Zbl 1162.05033 J. Discrete Math. Sci. Cryptography 10, No. 5, 667-676 (2007). MSC: 05C69 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{B. J. Prasad}, J. Discrete Math. Sci. Cryptography 10, No. 5, 667--676 (2007; Zbl 1162.05033) Full Text: DOI
Prasad, B. Jaya; Chelvam, T. Tamizh; Chellathurai, S. Robinson Private domination number of a graph. (English) Zbl 1162.05035 J. Discrete Math. Sci. Cryptography 10, No. 5, 661-666 (2007). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{B. J. Prasad} et al., J. Discrete Math. Sci. Cryptography 10, No. 5, 661--666 (2007; Zbl 1162.05035) Full Text: DOI
Chelvam, T. Tamizh; Prasad, B. Jaya A note on the domination equalities. (English) Zbl 1061.05066 Southeast Asian Bull. Math. 28, No. 2, 229-234 (2004). Reviewer: Vitali Oscarovich Groppen (Vladikavkaz) MSC: 05C69 05C75 PDFBibTeX XMLCite \textit{T. T. Chelvam} and \textit{B. J. Prasad}, Southeast Asian Bull. Math. 28, No. 2, 229--234 (2004; Zbl 1061.05066)