Arumugam, S.; Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K.; Murugan, M. On the total monophonic number of a graph. (English) Zbl 07812863 Commun. Comb. Optim. 8, No. 3, 483-489 (2023). MSC: 05C12 PDFBibTeX XMLCite \textit{S. Arumugam} et al., Commun. Comb. Optim. 8, No. 3, 483--489 (2023; Zbl 07812863) Full Text: DOI
Titus, P.; Subha, M.; Kumari, S. Santha Monophonic graphoidal covering number of corona product graphs. (English) Zbl 1518.05157 Proyecciones 42, No. 2, 303-318 (2023). Reviewer: Mehrdad Nasernejad (Lens) MSC: 05C70 05C76 05C38 05C12 PDFBibTeX XMLCite \textit{P. Titus} et al., Proyecciones 42, No. 2, 303--318 (2023; Zbl 1518.05157) Full Text: DOI
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Extreme restrained geodesic graphs. (English) Zbl 1513.05143 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 42, No. 1, Math., 172-178 (2022). MSC: 05C12 05C35 05C10 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 42, No. 1, Math., 172--178 (2022; Zbl 1513.05143) Full Text: DOI
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Minimal connected restrained monophonic sets in graphs. (English) Zbl 1495.05078 Proyecciones 41, No. 4, 879-890 (2022). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 41, No. 4, 879--890 (2022; Zbl 1495.05078) Full Text: DOI
Arul Flower Mary, V. M.; Leema, J. Anne Mary; Devi, B. Uma; Titus, P. The connected geodetic vertex covering number of a graph. (English) Zbl 1499.05179 South East Asian J. Math. Math. Sci. 17, No. 1, 285-296 (2021). MSC: 05C12 05C70 05C10 PDFBibTeX XMLCite \textit{V. M. Arul Flower Mary} et al., South East Asian J. Math. Math. Sci. 17, No. 1, 285--296 (2021; Zbl 1499.05179) Full Text: Link
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K.; Murugan, M. The forcing total monophonic number of a graph. (English) Zbl 1478.05044 Proyecciones 40, No. 2, 561-571 (2021). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 40, No. 2, 561--571 (2021; Zbl 1478.05044) Full Text: DOI
Titus, P.; Ganesamoorthy, K. Forcing edge detour monophonic number of a graph. (English) Zbl 1488.05168 Trans. Comb. 10, No. 4, 201-211 (2021). MSC: 05C12 05C70 05C40 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Ganesamoorthy}, Trans. Comb. 10, No. 4, 201--211 (2021; Zbl 1488.05168) Full Text: DOI
Titus, P.; Balakrishnan, P. The vertex detour monophonic number of a graph. (English) Zbl 1474.05121 Jordan J. Math. Stat. 13, No. 4, 565-583 (2020). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{P. Titus} and \textit{P. Balakrishnan}, Jordan J. Math. Stat. 13, No. 4, 565--583 (2020; Zbl 1474.05121) Full Text: Link
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Extreme restrained monophonic graphs. (English) Zbl 1463.05146 Ars Comb. 145, 207-223 (2019). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Ars Comb. 145, 207--223 (2019; Zbl 1463.05146)
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Edge-to-vertex \(m\)-detour monophonic number of a graph. (English) Zbl 1443.05054 Proyecciones 37, No. 3, 415-428 (2018). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 37, No. 3, 415--428 (2018; Zbl 1443.05054) Full Text: DOI
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Forcing total detour monophonic sets in a graph. (English) Zbl 1412.05060 Bull. Int. Math. Virtual Inst. 7, No. 3, 573-580 (2017). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Bull. Int. Math. Virtual Inst. 7, No. 3, 573--580 (2017; Zbl 1412.05060)
Titus, P.; Santhakumaran, A. P.; Ganesamoorthy, K. The restrained edge monophonic number of a graph. (English) Zbl 1412.05061 Bull. Int. Math. Virtual Inst. 7, No. 1, 23-30 (2017). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} et al., Bull. Int. Math. Virtual Inst. 7, No. 1, 23--30 (2017; Zbl 1412.05061)
Titus, P.; Vanaja, S. Eldin Edge fixed monophonic number of a graph. (English) Zbl 1431.05060 Proyecciones 36, No. 3, 363-372 (2017). Reviewer: Elzbieta Sidorowicz (Zielona Góra) MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{S. E. Vanaja}, Proyecciones 36, No. 3, 363--372 (2017; Zbl 1431.05060) Full Text: DOI
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. The total detour monophonic number of a graph. (English) Zbl 1383.05084 Proyecciones 36, No. 2, 209-224 (2017). MSC: 05C12 05C40 05C38 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 36, No. 2, 209--224 (2017; Zbl 1383.05084) Full Text: DOI
Titus, P.; Balakrishnan, P. The upper vertex detour monophonic number of a graph. (English) Zbl 1424.05070 Ars Comb. 132, 159-169 (2017). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{P. Balakrishnan}, Ars Comb. 132, 159--169 (2017; Zbl 1424.05070)
Titus, P.; Balakrishnan, P.; Ganesamoorthy, K. The connected vertex detour monophonic number of a graph. (English) Zbl 1365.05080 Afr. Mat. 28, No. 3-4, 311-320 (2017). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} et al., Afr. Mat. 28, No. 3--4, 311--320 (2017; Zbl 1365.05080) Full Text: DOI
Titus, P.; Santhakumaran, A. P.; Ganesamoorthy, K. The connected detour monophonic number of a graph. (English) Zbl 1368.05083 TWMS J. Appl. Eng. Math. 6, No. 1, 75-86 (2016). MSC: 05C38 05C12 PDFBibTeX XMLCite \textit{P. Titus} et al., TWMS J. Appl. Eng. Math. 6, No. 1, 75--86 (2016; Zbl 1368.05083)
Titus, P.; Iyappan, K. The mono-number of a graph. (English) Zbl 1360.05048 J. Graph Label. 2, No. 2, 251-261 (2016). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Iyappan}, J. Graph Label. 2, No. 2, 251--261 (2016; Zbl 1360.05048)
Santhakumaran, A. P.; Titus, P. Extreme monophonic graphs and extreme geodesic graphs. (English) Zbl 1362.05041 Tamkang J. Math. 47, No. 4, 393-404 (2016). MSC: 05C12 05C35 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Tamkang J. Math. 47, No. 4, 393--404 (2016; Zbl 1362.05041) Full Text: DOI
Titus, P.; Ganesamoorthy, K. On the detour monophonic number of a graph. (English) Zbl 1413.05093 Ars Comb. 129, 33-42 (2016). MSC: 05C12 05C38 05C40 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Ganesamoorthy}, Ars Comb. 129, 33--42 (2016; Zbl 1413.05093)
Titus, P.; Balakrishnan, P. The forcing vertex detour monophonic number of a graph. (English) Zbl 1346.05051 AKCE Int. J. Graphs Comb. 13, No. 1, 76-84 (2016). MSC: 05C12 05C40 05C69 PDFBibTeX XMLCite \textit{P. Titus} and \textit{P. Balakrishnan}, AKCE Int. J. Graphs Comb. 13, No. 1, 76--84 (2016; Zbl 1346.05051) Full Text: DOI
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Upper edge-to-vertex detour monophonic number of a graph. (English) Zbl 1351.05067 Adv. Stud. Contemp. Math., Kyungshang 26, No. 2, 371-378 (2016). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C12 05C35 05C38 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Adv. Stud. Contemp. Math., Kyungshang 26, No. 2, 371--378 (2016; Zbl 1351.05067)
Iyappan, K.; Titus, P. The connected vertex monophonic number of a graph. (English) Zbl 1363.05067 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 1, 1-13 (2016). MSC: 05C12 PDFBibTeX XMLCite \textit{K. Iyappan} and \textit{P. Titus}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 1, 1--13 (2016; Zbl 1363.05067)
Titus, P.; Kumari, S. Santha The detour monophonic graphoidal covering number of a graph. (English) Zbl 1345.05079 Proc. Jangjeon Math. Soc. 19, No. 1, 47-56 (2016). MSC: 05C70 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{S. S. Kumari}, Proc. Jangjeon Math. Soc. 19, No. 1, 47--56 (2016; Zbl 1345.05079)
Titus, P.; Iyappan, K. The forcing connected vertex monophonic number of a graph. (English) Zbl 1395.05054 Adv. Stud. Contemp. Math., Kyungshang 26, No. 1, 83-92 (2016). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Iyappan}, Adv. Stud. Contemp. Math., Kyungshang 26, No. 1, 83--92 (2016; Zbl 1395.05054)
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. Edge-to-vertex detour monophonic number of a graph. (English) Zbl 1313.05098 Rom. J. Math. Comput. Sci. 4, No. 2, 180-188 (2014). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Rom. J. Math. Comput. Sci. 4, No. 2, 180--188 (2014; Zbl 1313.05098)
Titus, P.; Ganesamoorthy, K. Upper edge detour monophonic number of a graph. (English) Zbl 1305.05063 Proyecciones 33, No. 2, 175-187 (2014). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Ganesamoorthy}, Proyecciones 33, No. 2, 175--187 (2014; Zbl 1305.05063) Full Text: DOI
Titus, P.; Iyappan, K. The upper connected vertex monophonic number of a graph. (English) Zbl 1305.05064 Proc. Jangjeon Math. Soc. 17, No. 2, 169-180 (2014). Reviewer: Zhizhang Shen (Plymouth) MSC: 05C12 68R10 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Iyappan}, Proc. Jangjeon Math. Soc. 17, No. 2, 169--180 (2014; Zbl 1305.05064)
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K. On the monophonic number of a graph. (English) Zbl 1285.05049 J. Appl. Math. Inform. 32, No. 1-2, 255-266 (2014). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., J. Appl. Math. Inform. 32, No. 1--2, 255--266 (2014; Zbl 1285.05049) Full Text: DOI Link
Titus, P.; Ganesamoorthy, K. The connected monophonic number of a graph. (English) Zbl 1292.05103 Graphs Comb. 30, No. 1, 237-245 (2014). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Ganesamoorthy}, Graphs Comb. 30, No. 1, 237--245 (2014; Zbl 1292.05103) Full Text: DOI
Titus, P.; Ganesamoorthy, K. Forcing detour monophonic number of a graph. (English) Zbl 1409.05077 Facta Univ., Ser. Math. Inf. 28, No. 2, 211-220 (2013). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} and \textit{K. Ganesamoorthy}, Facta Univ., Ser. Math. Inf. 28, No. 2, 211--220 (2013; Zbl 1409.05077)
Titus, P.; Balakrishnan, P.; Santhakumaran, A. P.; Ganesamoorthy, K. Connectede edge detour monophonic number of a graph. (English) Zbl 1301.05115 Proc. Jangjeon Math. Soc. 16, No. 4, 517-528 (2013). Reviewer: Kaishun Wang (Beijing) MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{P. Titus} et al., Proc. Jangjeon Math. Soc. 16, No. 4, 517--528 (2013; Zbl 1301.05115)
Santhakumaran, A. P.; Titus, P.; Ganesamoorthy, K.; Balakrishnan, P. Edge detour monophonic number of a graph. (English) Zbl 1320.05032 Proyecciones 32, No. 2, 183-198 (2013). Reviewer: Heping Zhang (Lanzhou) MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 32, No. 2, 183--198 (2013; Zbl 1320.05032) Full Text: DOI Link
Santhakumaran, A. P.; Titus, P.; Balakrishnan, P. Connected edge monophonic number of a graph. (English) Zbl 1276.05066 Proyecciones 32, No. 3, 215-234 (2013). MSC: 05C40 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., Proyecciones 32, No. 3, 215--234 (2013; Zbl 1276.05066) Full Text: DOI Link
Titus, P.; Ganesamoorthy, K.; Balakrishnan, P. The detour monophonic number of a graph. (English) Zbl 1274.05138 J. Comb. Math. Comb. Comput. 84, 179-188 (2013). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Titus} et al., J. Comb. Math. Comb. Comput. 84, 179--188 (2013; Zbl 1274.05138)
Santhakumaran, A. P.; Titus, P. The upper connected vertex detour number of a graph. (English) Zbl 1289.05142 Filomat 26, No. 2, 379-388 (2012). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Filomat 26, No. 2, 379--388 (2012; Zbl 1289.05142) Full Text: DOI
Santhakumaran, Anandhapalpu P.; Titus, P. The geo-number of a graph. (English) Zbl 1289.05143 Ars Comb. 106, 65-78 (2012). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Ars Comb. 106, 65--78 (2012; Zbl 1289.05143)
Santhakumaran, A. P.; Titus, P. The vertex monophonic number of a graph. (English) Zbl 1255.05071 Discuss. Math., Graph Theory 32, No. 2, 191-204 (2012). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Discuss. Math., Graph Theory 32, No. 2, 191--204 (2012; Zbl 1255.05071) Full Text: DOI Link
Santhakumaran, A. P.; Titus, P. A note on ”monophonic distance in graphs”. (English) Zbl 1251.05049 Discrete Math. Algorithms Appl. 4, No. 2, 1250018, 5 p. (2012). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Discrete Math. Algorithms Appl. 4, No. 2, 1250018, 5 p. (2012; Zbl 1251.05049) Full Text: DOI
Santhakumaran, A. P.; Titus, P. Geodesic graphs. (English) Zbl 1265.05204 Ars Comb. 99, 75-82 (2011). MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Ars Comb. 99, 75--82 (2011; Zbl 1265.05204)
Santhakumaran, A. P.; Titus, P. On the vertex geodomination number of a graph. (English) Zbl 1265.05203 Ars Comb. 101, 137-151 (2011). MSC: 05C12 05C69 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Ars Comb. 101, 137--151 (2011; Zbl 1265.05203)
Santhakumaran, A. P.; Titus, P. The connected forcing connected vertex detour number of a graph. (English) Zbl 1229.05097 Discuss. Math., Graph Theory 31, No. 3, 461-473 (2011). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Discuss. Math., Graph Theory 31, No. 3, 461--473 (2011; Zbl 1229.05097) Full Text: DOI
Santhakumaran, A. P.; Titus, P. Monophonic distance in graphs. (English) Zbl 1222.05043 Discrete Math. Algorithms Appl. 3, No. 2, 159-169 (2011). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Discrete Math. Algorithms Appl. 3, No. 2, 159--169 (2011; Zbl 1222.05043) Full Text: DOI
Santhakumaran, A. P.; Titus, P. The connected vertex detour number of a graph. (English) Zbl 1235.05045 Acta Univ. Sapientiae, Math. 2, No. 2, 146-159 (2010). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Acta Univ. Sapientiae, Math. 2, No. 2, 146--159 (2010; Zbl 1235.05045)
Santhakumaran, A. P.; Titus, P. The edge fixed geodomination number of a graph. (English) Zbl 1249.05297 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 17, No. 1, 187-200 (2009). MSC: 05C69 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 17, No. 1, 187--200 (2009; Zbl 1249.05297)
Santhakumaran, A. P.; Titus, P.; John, J. On the connected geodetic number of a graph. (English) Zbl 1200.05073 J. Comb. Math. Comb. Comput. 69, 219-229 (2009). MSC: 05C12 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} et al., J. Comb. Math. Comb. Comput. 69, 219--229 (2009; Zbl 1200.05073)
Santhakumaran, P.; Titus, P. The connected vertex geodomination number of a graph. (English) Zbl 1194.05034 J. Prime Res. Math. 5, 101-114 (2009). MSC: 05C12 PDFBibTeX XMLCite \textit{P. Santhakumaran} and \textit{P. Titus}, J. Prime Res. Math. 5, 101--114 (2009; Zbl 1194.05034)
Santhakumaran, A. P.; Titus, P. The upper and forcing vertex detour numbers of a graph. (English) Zbl 1155.05019 Int. J. Math. Comb. 2, 109-120 (2008). Reviewer: Martin Knor (Bratislava) MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, Int. J. Math. Comb. 2008, No. 2, 109--120 (2008; Zbl 1155.05019)
Santhakumaran, A. P.; Titus, P. The vertex detour number of a graph. (English) Zbl 1144.05028 AKCE Int. J. Graphs Comb. 4, No. 1, 99-112 (2007). Reviewer: Frank Plastria (Brussels) MSC: 05C12 05C38 PDFBibTeX XMLCite \textit{A. P. Santhakumaran} and \textit{P. Titus}, AKCE Int. J. Graphs Comb. 4, No. 1, 99--112 (2007; Zbl 1144.05028)