Nandini, G.; Venkatachalamb, M.; Vivin, Vernold; Dafik On \(r\)-dynamic coloring of \(n\)-sunlet graph families. (English) Zbl 1524.05111 Proc. Jangjeon Math. Soc. 26, No. 1, 23-42 (2023). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{G. Nandini} et al., Proc. Jangjeon Math. Soc. 26, No. 1, 23--42 (2023; Zbl 1524.05111) Full Text: DOI
Kaliraj, K.; Devi, R. Narmadha; Vivin, J. Vernold Equitable chromatic number of weak modular product of some graphs. (English) Zbl 1498.05098 Proyecciones 41, No. 5, 1051-1062 (2022). MSC: 05C15 05C38 PDFBibTeX XMLCite \textit{K. Kaliraj} et al., Proyecciones 41, No. 5, 1051--1062 (2022; Zbl 1498.05098) Full Text: DOI
Ulagammal, S.; Vivin, J. Vernold; Cangul, Ismail Naci On star coloring of degree splitting of Cartesian product graphs. (English) Zbl 1513.05164 Jordan J. Math. Stat. 15, No. 2, 243-254 (2022). MSC: 05C15 05C75 05C76 PDFBibTeX XMLCite \textit{S. Ulagammal} et al., Jordan J. Math. Stat. 15, No. 2, 243--254 (2022; Zbl 1513.05164) Full Text: DOI
Sivakami, R.; Kaliraj, K.; Vernold, Vivin J. On star coloring of lexicographic product of graphs. (English) Zbl 1524.05116 Acta Univ. Apulensis, Math. Inform. 67, 49-59 (2021). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{R. Sivakami} et al., Acta Univ. Apulensis, Math. Inform. 67, 49--59 (2021; Zbl 1524.05116)
Vivin, Vernold J.; Sivakami, R.; Kaliraj, K. On star coloring of modular product of certain graphs. (English) Zbl 1524.05119 Acta Univ. Apulensis, Math. Inform. 65, 67-75 (2021). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{V. J. Vivin} et al., Acta Univ. Apulensis, Math. Inform. 65, 67--75 (2021; Zbl 1524.05119)
Kaliraj, K.; Sivakami, R.; Vivin, J. Vernold On star coloring of modular product of graphs. (English) Zbl 1494.05045 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 2, 1235-1239 (2020). Reviewer: Kaishun Wang (Beijing) MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{K. Kaliraj} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 2, 1235--1239 (2020; Zbl 1494.05045) Full Text: DOI
Jagannathan, M.; Vernold Vivin, J.; Veninstine Vivik, J. Equitable edge coloring of splitting graph of some classes of wheel graphs. (English) Zbl 1499.05217 Ars Comb. 151, 211-220 (2020). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{M. Jagannathan} et al., Ars Comb. 151, 211--220 (2020; Zbl 1499.05217)
Furmańczyk, Hanna; Kowsalya, V.; Vernold Vivin, J. On star coloring of splitting graphs. (English) Zbl 1513.05153 Ars Comb. 153, 33-39 (2020). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{H. Furmańczyk} et al., Ars Comb. 153, 33--39 (2020; Zbl 1513.05153) Full Text: arXiv
Ulagammal, S.; Vivin, Vernold J. On star coloring of degree splitting of tensor product of graphs. (English) Zbl 1474.05146 Acta Univ. Apulensis, Math. Inform. 63, 11-20 (2020). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{S. Ulagammal} and \textit{V. J. Vivin}, Acta Univ. Apulensis, Math. Inform. 63, 11--20 (2020; Zbl 1474.05146)
Ulagammal, S.; Vivin, J. Vernold On star coloring of degree splitting of join graphs. (English) Zbl 1451.05090 Proyecciones 38, No. 5, 1071-1080 (2019). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{S. Ulagammal} and \textit{J. V. Vivin}, Proyecciones 38, No. 5, 1071--1080 (2019; Zbl 1451.05090) Full Text: DOI
Ulagammal, S.; Vernold, Vivin J. On star coloring of degree splitting of wheel graph families and Mycielskian. (English) Zbl 1427.05091 Util. Math. 110, 39-47 (2019). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{S. Ulagammal} and \textit{V. J. Vernold}, Util. Math. 110, 39--47 (2019; Zbl 1427.05091)
K., Kaliraj; R., Sivakami; Vivin J., Vernold Star edge coloring of corona product of path and wheel graph families. (English) Zbl 1443.05163 Proyecciones 37, No. 4, 593-601 (2018). MSC: 05C76 05C38 05C15 PDFBibTeX XMLCite \textit{K. K.} et al., Proyecciones 37, No. 4, 593--601 (2018; Zbl 1443.05163) Full Text: DOI
Furmańczyk, Hanna; Vivin, J. Vernold; Mohanapriya, N. \(r\)-Dynamic chromatic number of some line graphs. (English) Zbl 1419.05073 Indian J. Pure Appl. Math. 49, No. 4, 591-600 (2018). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{H. Furmańczyk} et al., Indian J. Pure Appl. Math. 49, No. 4, 591--600 (2018; Zbl 1419.05073) Full Text: DOI
Vivin, Vernold J.; Kaliraj, K. Equitable coloring of Mycielskian of some graphs. (English) Zbl 1474.05147 J. Math. Ext. 11, No. 3, 1-18 (2017). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{V. J. Vivin} and \textit{K. Kaliraj}, J. Math. Ext. 11, No. 3, 1--18 (2017; Zbl 1474.05147) Full Text: Link
Vivin, J. Vernold; Kaliraj, K. On equitable coloring of corona of wheels. (English) Zbl 1467.05086 Electron. J. Graph Theory Appl. 4, No. 2, 206-222 (2016). MSC: 05C15 PDFBibTeX XMLCite \textit{J. V. Vivin} and \textit{K. Kaliraj}, Electron. J. Graph Theory Appl. 4, No. 2, 206--222 (2016; Zbl 1467.05086) Full Text: DOI
Mohanapriya, N.; Vernold Vivin, J.; Venkatachalam, M. \(\delta\)-dynamic chromatic number of helm graph families. (English) Zbl 1426.05049 Cogent Math. 3, Article ID 1178411, 4 p. (2016). MSC: 05C15 PDFBibTeX XMLCite \textit{N. Mohanapriya} et al., Cogent Math. 3, Article ID 1178411, 4 p. (2016; Zbl 1426.05049) Full Text: DOI
Kowsalya, V.; Vernold Vivin, J.; Venkatachalam, M. On star chromatic number of sunlet graph families. (English) Zbl 1363.05074 Ars Comb. 123, 431-437 (2015). MSC: 05C15 05C75 05C76 PDFBibTeX XMLCite \textit{V. Kowsalya} et al., Ars Comb. 123, 431--437 (2015; Zbl 1363.05074)
Vernold Vivin, J.; Vekatachalam, M. On \(b\)-chromatic number of Sun let graph and wheel graph families. (English) Zbl 1327.05126 J. Egypt. Math. Soc. 23, No. 2, 215-218 (2015). MSC: 05C15 05C75 05C76 PDFBibTeX XMLCite \textit{J. Vernold Vivin} and \textit{M. Vekatachalam}, J. Egypt. Math. Soc. 23, No. 2, 215--218 (2015; Zbl 1327.05126) Full Text: DOI
Vernold, Vivin J. Bounds for the harmonious coloring of Myceilskians. (English) Zbl 1307.05079 Int. J. Math. Comb. 2014, No. 1, 102-108 (2014). MSC: 05C15 05C38 PDFBibTeX XMLCite \textit{V. J. Vernold}, Int. J. Math. Comb. 2014, No. 1, 102--108 (2014; Zbl 1307.05079)
Kaliraj, K.; Vivin, J. Vernold; Ali, M. M. Akbar On equitable colouring of Knödel graphs. (English) Zbl 1305.05078 Int. J. Comput. Math. 91, No. 7, 1428-1433 (2014). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{K. Kaliraj} et al., Int. J. Comput. Math. 91, No. 7, 1428--1433 (2014; Zbl 1305.05078) Full Text: DOI
Venkatachalam, M.; Vivin, J. Vernold On \(b\)-chromatic number with other types of chromatic numbers on double star graphs. (English) Zbl 1303.05070 Ric. Mat. 63, No. 2, 295-305 (2014). MSC: 05C15 PDFBibTeX XMLCite \textit{M. Venkatachalam} and \textit{J. V. Vivin}, Ric. Mat. 63, No. 2, 295--305 (2014; Zbl 1303.05070) Full Text: DOI
Venkatachalam, M.; Vivin, J. Vernold About \(b\)-coloring of windmill graph. (English) Zbl 1325.05084 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 3, 253-255 (2013). MSC: 05C15 PDFBibTeX XMLCite \textit{M. Venkatachalam} and \textit{J. V. Vivin}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 3, 253--255 (2013; Zbl 1325.05084) Full Text: DOI
Furmańczyk, Hanna; Kaliraj, K.; Kubale, Marek; Vivin, J. Vernold Equitable coloring of corona products of graphs. (English) Zbl 1275.05020 Adv. Appl. Discrete Math. 11, No. 2, 103-120 (2013). MSC: 05C15 05C76 05C85 PDFBibTeX XMLCite \textit{H. Furmańczyk} et al., Adv. Appl. Discrete Math. 11, No. 2, 103--120 (2013; Zbl 1275.05020) Full Text: Link
Vernold, V. J.; Venkatachalam A note on star coloring of central graph of bipartite graph an corona graph of complete graph with path and cycle. (English) Zbl 1293.05129 Trans. Comb. 1, No. 1, 31-34 (2012). MSC: 05C15 05C75 05C38 PDFBibTeX XMLCite \textit{V. J. Vernold} and \textit{Venkatachalam}, Trans. Comb. 1, No. 1, 31--34 (2012; Zbl 1293.05129)
Kaliraj, K.; Vivin, J. Vernold; Akbar Ali, M. M. On equitable coloring of sun let graph families. (English) Zbl 1265.05230 Ars Comb. 103, 497-504 (2012). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{K. Kaliraj} et al., Ars Comb. 103, 497--504 (2012; Zbl 1265.05230)
Vernold, Vivin J.; M., Venkatachalam; K., Kaliraj Harmonious coloring on double star graph families. (English) Zbl 1252.05072 Tamkang J. Math. 43, No. 2, 153-158 (2012). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{V. J. Vernold} et al., Tamkang J. Math. 43, No. 2, 153--158 (2012; Zbl 1252.05072) Full Text: Link
Kaliraj, K.; Veninstine, Vivik J.; Vernold, Vivin J. Equitable coloring on corona graph of graphs. (English) Zbl 1252.05065 J. Comb. Math. Comb. Comput. 81, 191-197 (2012). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{K. Kaliraj} et al., J. Comb. Math. Comb. Comput. 81, 191--197 (2012; Zbl 1252.05065)
Vivin, J. Vernold; Kaliraj, K.; Ali, M. M. Akbar Equitable coloring on total graph of bigraphs and central graph of cycles and paths. (English) Zbl 1217.05097 Int. J. Math. Math. Sci. 2011, Article ID 279246, 5 p. (2011). MSC: 05C15 05C38 PDFBibTeX XMLCite \textit{J. V. Vivin} et al., Int. J. Math. Math. Sci. 2011, Article ID 279246, 5 p. (2011; Zbl 1217.05097) Full Text: DOI EuDML
Vernold, Vivin J.; Venkatachalam, M. The \(b\)-chromatic number of star graph families. (English) Zbl 1220.05044 Matematiche 65, No. 1, 119-125 (2010). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{V. J. Vernold} and \textit{M. Venkatachalam}, Matematiche 65, No. 1, 119--125 (2010; Zbl 1220.05044) Full Text: Link
Kaliraj, K.; Vernold Vivin, J. On equitable coloring of Helm graph and Gear graph. (English) Zbl 1219.05057 Int. J. Math. Comb. 4, 32-37 (2010). MSC: 05C15 05C75 05C76 PDFBibTeX XMLCite \textit{K. Kaliraj} and \textit{J. Vernold Vivin}, Int. J. Math. Comb. 2010, No. 4, 32--37 (2010; Zbl 1219.05057)
Vivin J., Vernold; Ali M. M., Akbar; Kaliraj, K. On harmonious coloring of total graphs of \(C(C_{n}), C(K_{1,n})\) and \(C(P_{n})\). (English) Zbl 1214.05144 Proyecciones 29, No. 1, 57-74 (2010). MSC: 05C75 05C15 PDFBibTeX XMLCite \textit{V. Vivin J.} et al., Proyecciones 29, No. 1, 57--74 (2010; Zbl 1214.05144) Full Text: DOI
Akbar, M. M. Ali; Kaliraj, K.; Vivin, J. Vernold On equitable coloring of central graphs and total graphs. (English) Zbl 1267.05227 Balakrishnan, R. (ed.) et al., International conference on graph theory and its applications. Papers from the conference, Coimbatore, India, December 11–13, 2008. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 33, 1-6 (2009). MSC: 05C78 05C15 PDFBibTeX XMLCite \textit{M. M. A. Akbar} et al., Electron. Notes Discrete Math. 33, 1--6 (2009; Zbl 1267.05227) Full Text: DOI
Vernold, Vivin J.; Venkatachalam, M.; Akbar, Ali M. M. A note on achromatic coloring of star graph families. (English) Zbl 1265.05254 Filomat 23, No. 3, 251-255 (2009). MSC: 05C15 PDFBibTeX XMLCite \textit{V. J. Vernold} et al., Filomat 23, No. 3, 251--255 (2009; Zbl 1265.05254) Full Text: DOI
Vivin, J. Vernold; Ali. M. M, Akbar On harmonious coloring of middle graph of \(C(C_{n}), C(K_{1,n})\) and \(C(P_{n})\). (English) Zbl 1226.05124 Note Mat. 29, No. 2, 201-211 (2009). MSC: 05C15 05C75 PDFBibTeX XMLCite \textit{J. V. Vivin} and \textit{A. Ali. M. M}, Note Mat. 29, No. 2, 201--211 (2009; Zbl 1226.05124) Full Text: Link
Vivin, Vernold J.; Thilagavathi, K. On harmonious colouring of line graph of central graph of paths. (English) Zbl 1194.05044 Appl. Math. Sci., Ruse 3, No. 5-8, 205-214 (2009). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{V. J. Vivin} and \textit{K. Thilagavathi}, Appl. Math. Sci., Ruse 3, No. 5--8, 205--214 (2009; Zbl 1194.05044) Full Text: Link
Vernold Vivin, J.; Thilagavathi, J. K.; Anitha, B. On harmonious colouring of line graph of central graphs of bipartite graphs. (English) Zbl 1271.05037 J. Comb. Inf. Syst. Sci. 33, No. 1-2, 37-44 (2008). MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{J. Vernold Vivin} et al., J. Comb. Inf. Syst. Sci. 33, No. 1--2, 37--44 (2008; Zbl 1271.05037)
J, Vernold Vivin; M., Akbar Ali. M.; Thilagavathi, K. On harmonious colouring of central graphs. (English) Zbl 1193.05159 Adv. Appl. Discrete Math. 2, No. 1, 17-33 (2008). MSC: 05C99 05C15 PDFBibTeX XMLCite \textit{V. V. J} et al., Adv. Appl. Discrete Math. 2, No. 1, 17--33 (2008; Zbl 1193.05159) Full Text: Link
Thilagavathi, K.; Vivin, J. Vernold Harmonious colouring of graphs. (English) Zbl 1100.05089 Far East J. Math. Sci. (FJMS) 20, No. 2, 189-197 (2006). Reviewer: Jozef Fiamčik (Prešov) MSC: 05C78 05C15 PDFBibTeX XMLCite \textit{K. Thilagavathi} and \textit{J. V. Vivin}, Far East J. Math. Sci. (FJMS) 20, No. 2, 189--197 (2006; Zbl 1100.05089)