A Pioneer Group Initiative

Department of Maths

Department of Maths

Dr. C. Jayasekaran, M.Sc., M.Phil., B.Ed., Ph.D.

Service Completed : 27 Years

Area of Specialization : Graph Theory – Switching, Domination, Labeling

Contact Number : 94860 50289

E-mail id : jayacpkc@gmail.com

Publication of Articles in Journals : 78

  • Detour global domination of splitting graph, Discrete Mathematics, Algorithm and Applications, doi.org/10.1142/S1793830922501221, 2022.
  • 2-Vertex switching of acyclic joints in graphs, AIP Conference Proceedings, 2516(1), 210017(1-6), 2022
  • Characterization of a graph to be acyclic after anti-duplication of a vertex, AIP Conference Proceedings, 2516(1), 210018(1-5), 2022.
  • 2-Vertex switching of connected unicyclic joints in graphs, Advances and Applications in Mathematical Sciences, 22(1), 295-310, 2022.
  • Even radio mean graceful labeling on degree splitting of snake related graphs, South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 197-204, 2022.
  • Inverse isolate domination on four regular graph with girth 3 and girth 4, Turkish Journal of Computer and Mathematics Education, 13(1), 60-72, 2022.
  • Relatively prime split geodetic number of a graph, Annals of Pure and Applied Mathematics, 25(2), 97-107, 2022.
  • Inverse isolate domination number of a graph, GIS Science Journal, 19(1), 379-389, 2022.
  • Some results on 2-vertex self switching of joints, Communications in Mathematics and Applications, 12(1), 59-69, 2021.
  • 2-Vertex self switching of forests, Nonlinear studies, 28(3), 749-759, 2021.
  • Some results on anti-duplication of graphs, Nonlinear Studies, 28(3), 741-746, 2021.
  • Anti-duplication self vertex switching in some graphs, Malaya Journal of Matematik, 9(1), 338-342, 2021.
  • Some Results on Anti-Duplication of a vertex in graphs, Advances in Mathematics: Scientific Journal, 9(6), 4145-4153, 2020.
  • Inverse isolate domination number on a vertex switching of cycle related graphs, Malaya Journal of Matematik, 8(4), 2309-2314, 2020.
  • Relatively prime geodetic number of graphs, Malaya Journal of Matematik, 8(4), 2302-2305, 2020.
  • Relatively prime inverse domination of graph, Malaya Journal of Matematik, 8(4), 2292-2295, 2020.
  • Relatively prime restrained geodetic number of a graph, Malaya Journal of Matematik, 8(4), 1207-1211, 2020.
  • Results on relatively prime domination number of vertex switching of complement graphs, Advances in Mathematics: Scientific Journal, 9(4), 1601-1609, 2020.
  • Relations on irredundance and domination number of six regular graphs with girth 3, Malaya Journal of Matematik, 8(3), 856-861, 2020.
  • Duplication self vertex switching in self centred graphs, Malaya Journal of Matematik, S(1), 556-559, 2020.
  • Detour global domination number of some graphs, Malaya Journal of Matematik,S(1), 552-555, 2020.
  • Results on Relatively prime domination polynomial of some graphs, Malaya Journal of Matematik, S(1), 469-473, 2020.
  • Graphs with a given number of duplication self vertex Switching in graphs, Journal of Information and Computational Science, 10(1), 317-331, 2020.
  • Relatively prime dominating polynomials in graphs, Malaya Journal of Matematik, 7(4), 643-650, 2019.
  • Seventh and eighth order triangular sum labeling of graphs, Annals of Pure and Applied Mathematics, 19(2), 207-217, 2019.
  • Some more results on one modulo three roots square mean graphs, International Electronic journal of pure and applied mathematics, 13(1), 47-55, 2019.
  • Relations on irredundance and domination number in quartic graph with girth 3, Journal of Advance Research in Dynamical & Control Systems, 14(S), 1719-1729, 2018.
  • The relationship of irredundance and domination on quartic graph with girth 4, Journal of advance Research in dynamical and control system, 14(S), 1707-1718, 2018.
  • Domination and irredundant number of 4-regular graph, International Journal of Innovative Research Explorer, 5(3), 237-241, 2018.
  • 2-Vertex self switching of some special graphs, International Journal of Scientific Research and Review, 7(12), 408-414, 2018
  • Equitable graph labeling of few graphs, International Journal of Scientific Research and Review, 7(12), 320-328, 2018.
  • A characterization of bicyclic but not two-cyclic graphs with a cut vertex as self vertex switching, Utilitas Mathematica, 107, 87-101, 2018.
  • Edge trimagic total labeling of cycle related graphs, International Journal of Pure and Applied Mathematics, 120 (4), 511-519, 2018.
  • Edge trimagic total labeling of Shadow and Splitting graphs, International Journal of Pure and Applied Mathematics, 120(3), 303-314, 2018.
  • The detour irredundant number of a graph, International Journal of Pure and Applied Mathematics, 119(1), 53-62, 2018.
  • A characterization of bicyclic but not two-cyclic graphs each with a non-cut vertex as self vertex switching, International Journal of Pure and Applied Mathematics, 118(3), 527-546, 2018.
  • One modulo three root square mean labeling of path related graphs, International Journal of Pure and Applied Mathematics, 118(2), 351-358, 2018.
  • A characterization of duplication self vertex switching in graphs, International Journal of Pure and Applied Mathematics, 118(2), 149-156, 2018.
  • One modulo three root square mean labeling of some disconnected graphs, Annals of Pure and Applied Mathematics, 16(2), 255-263, 2018.
  • Results on relatively prime dominating sets in graphs, Annals of Pure and Applied Mathematics, 14(3), 359-369, 2017.
  • Some results on duplication self vertex switching, International Journal of Pure and Applied Mathematics, 116(2), 427-435, 2017.
  • Edge trimagic total labeling of Mobius, Ladder, Book and Dragon graphs, Annals of Pure and Applied Mathematics, 13(2), 151-163, 2017.
  • On edge trimagic labeling of umbrella, dumb bell and circular ladder graph, Annals of Pure and Applied Mathematics, 13(1), 73-87, 2017.
  • Self vertex switching of disconnected unicyclic graphs, Ars Combinatoria, 129, 51-62, 2016.
  • Self vertex switching of trees, Ars Combinatoria, 127, 33-43, 2016.
  • Few families of harmonic mean graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 96, 235-243, 2016.
  • Super edge trimagic total labeling of generalized prism and web graphs, Journal of Discrete Mathematical Sciences and Cryptography, 19(1), 81-92, 2016.
  • Harmonic mean labeling of disconnected graphs, Journal of Discrete Mathematical Sciences and Cryptography, 19(1), 1-12, 2016.
  • Mean square sum labeling of path related graphs, International Journal of Mathematical Archive, 7(9), 122-127, 2016.
  • Characterization of disconnected two-cyclic graphs with a self vertex switching, Journals of Combinatorics, Information & System Sciences, 41(1-3), 123-140, 2016.
  • Some more results on one modulo three harmonic mean graphs, International Journal of Mathematical Archive, 6(3), 142-145, 2015.
  • Mean square sum labeling of some cycle related graphs, Mathematical Sciences International Research Journal, 4(2), 257-262, 2015.
  • Mean square sum labeling of some graphs, Mathematical Sciences International Research Journal, 4(2), 238 –242, 2015
  • Harmonic mean labeling on some more special type of graphs, Mathematical Sciences International Research Journal, 4(2), 141-143, 2015.
  • Super edge trimagic total labeling of square of a cycle and gear graphs, Mathematical Sciences International Research Journal, 4(2), 113-115, 2015.
  • On a vertex consecutive edge trimagic total labeling of some classes of graphs, International Journal of Computational and Applied Mathematics, 9(2), 151-156, 2014.
  • Trimagic labeling in digraphs, Journal of Discrete Mathematical Sciences and Cryptography, 17(4), 321-335, 2014.
  • Some results on one modulo three harmonic mean graphs, International Journal of Mathematical Archive, 5(3), 203-208, 2014.
  • Self vertex switching of connected two cyclic graphs, Journal of Discrete Mathematical Sciences and Cryptography, 17(2), 157-179, 2014.
  • Some results on super harmonic mean graphs, International Journal of Mathematics Trends and Technology, 6,215-224, 2014.
  • Edge trimagic total labeling for disconnected graphs, International Journal Mathematics Trends and Technology, 6, 44-53, 2014.
  • A vertex consecutive edge trimagic total labeling of graphs, International Journal of Mathematical Sciences, 34(1), 1413-1419, 2014.
  • Super edge trimagic total labeling of graphs, International Journal of Mathematical Archive, 4(12), 156-164, 2013.
  • More results on edge trimagic labeling of graphs, International Journal of Mathematical Archive, 4(11), 247-255, 2013.
  • Harmonic mean labeling on double quadrilateral snake graph, Global Journal of Theoretical and Applied Mathematical Sciences, 3(2), 67-72, 2013.
  • Harmonic mean labeling on double triangular snakes, International Journal of Mathematics Research, 5(2), 251-256, 2013.
  • Some new results on harmonic mean graphs, International Journal of Mathematical Archive, 4(5), 240-245, 2013.
  • Some new families of harmonic mean graphs, International Journal of Mathematics Research, 5(2), 223-232, 2013.
  • Edge trimagic labeling for some graphs, International Journal of Mathematical Sciences and Applications, 3(1), 295-320, 2013.
  • Edge trimagic total labeling of graphs, International Journal of Combinatorial Graph Theory and Applications, 6(2), 175-186, 2013.
  • Harmonic labeling of degree splitting graph, Bulletin of Pure and Applied Sciences, 32E (1) 99-112, 2013.
  • A note on adversary degree associated reconstruction number of graphs, Journal of Discrete Mathematics, 2013 ID 808105, 5pages, 2013.
  • Self vertex switching of unicyclic graphs, Graph Theory Notes of New York, 62(4), 29-38, 2012.
  • Self vertex switching of connected unicyclic graphs, Journal of Discrete Mathematical Sciences and Cryptography, 15(6), 377-388, 2012.
  • Graphs with given number of self vertex switching, International Journal of Algorithm, Computing and Mathematics, 3(3), 27-36, 2010.
  • On interchange similar self vertex switching in graphs, International Journal of Algorithm, Computing and Mathematics, 3(1), 59-64, 2010.
  • Interchange similar self vertex switching in graph, Journal of Discrete Mathematical Sciences and Cryptography, 12(4), 467-480, 2009.
  • Branches and Joints in the study of Self Switching of Graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 69, 111-122, 2008.

Doctoral Thesis Guidance (All in Manonmaniam Sundaranar University) Completed : 14

  • A. SHEEBA, Reg. No. 19213132092006, (Thesis Submitted on 23/08/2022) A STUDY ON RELATIVELY PRIME GEODETIC NUMBER OF GRAPHS
  • A. VIJILA RANI, Reg. No. 19113132092001, (Thesis Submitted on 18/04/2022) A STUDY ON INVERSE ISOLATE DOMINATION NUMBER OF GRAPHS
  • S. DELBIN PREMA, Reg. No. 11928, 2022 A STUDY ON IRREDUNDANCE AND DOMINATION IN GRAPHS
  • M. ASHWIN SHIJO, Reg. No. 18213132091001, 2022 ANTI-DUPLICATION SELF VERTEX SWITCHING IN GRAPHS
  • A. JANCY VINI, Reg. No. 11712, 2021 A STUDY ON RELATIVELY PRIME DOMINATION NUMBER IN GRAPHS
  • C. SUNITHA, Reg. No. 11753, 2020 A STUDY ON EQUITABLE GRAPHS, TRIANGULAR SUM GRAPHS AND DIVISOR GRAPHS
  • J. CHRISTABEL SUBHA, Reg. No. 9304, 2019 A STUDY ON 2-VERTEX SELF SWITCHING IN GRAPHS
  • M. JASLIN MELBHA, Reg. No. 11714, 2018 A STUDY ON ROOT SQUARE MEAN LABELING AND MEAN SQUARE SUM LABELING OF GRAPHS
  • J. LITTLE FLOWER, Reg. No. 11586, 2018 FURTHER STUDY ON EDGE TRIMAGIC TOTAL LABELING
  • V. PRABHAVATHY, Reg. No. 4361, 2018 A STUDY ON DUPLICATION SELF VERTEX SWITCHING IN GRAPHS
  • M. REGEES, Reg. No. 9306, 2015 TRIMAGIC LABELING OF GRAPHS
  • G. SUMATHY, Reg. No. 5410, 2015 SELF VERTEX SWITCHING OF TWO-CYCLIC AND BICYCLIC GRAPHS
  • C. DAVID RAJ, Reg. No. 9305, 2015 A STUDY ON HARMONIC MEAN LABELING OF GRAPHS
  • S. SUNDAR RAJ, Reg. No. 1902, 2013 ISOMORPHISM PROBLEMS IN GRAPH THEORY RELATED TO ULAM’S CONJECTURE

Ongoing : 5

  • S.V. ASHWIN PRAKASH, Reg. No. 20113132091001 A STUDY ON DETOUR GLOBAL DOMINATION IN GRAPHS
  • L. ROSHINI, Reg. No. 20113132092002 A STUDY ON RELATIVELY PRIME INVERSE DOMINATION NUMBER OF A GRAPH
  • A. VINOTHKUMAR, Reg. No. 20123132091003 FURTHER STUDY ON 2-VERTEX SELF SWITCHING IN GRAPHS
  • L.G. BINOJA, Reg. No. 20213132092002 A STUDY ON RELATIVELY PRIME DETOUR DOMINATION NUMBER OF A GRAPH
  • V.G. MICHAEL FLORANCE, Reg. No. 19223042092019 A STUDY ON TRIMAGIC LABELING OF SOME GRAPHS