College Engineering
Resume:
Dr.VERNOLD VIVIN J
*/**-*, ******* *****, E-mail: ************@*****.**
Kallapalayam Road, *************@*****.***
Peedampalli (P.O), Mobile: 919*********
Coimbatore-641 016.
Tamil Nadu. India.
OBJECTIVE To be ever so eager to continue my endeavors to gain knowledge.
PERSONAL MISSION STATEMENT
To explore new fields everyday and make everyday an adventurous new day.
STRENGTHS Perseverance, Painstakingly Meticulous, Hard Working
INTEREST
Mainly on Research and Teaching.
14th January 1980.
PERSONAL Date of Birth:
PROFILE Age: 32 years.
Sex: Male.
Parents: Pr.B.Joseph
Mrs. Ivy Margaret.
ACADEMIC Ph. D
Ph.D (Full Time) Mathematics (Graph Theory)
CHRONICLE
College: Kongunadu Arts and Science College.
University: Bharathiar University, Coimbatore.
Graduations December 2007.
M.Phil (Full Time) Mathematics (Graph Theory)
College: Kongunadu Arts and Science College.
University: Bharathiar University, Coimbatore.
Percentage 68.67 Graduations June 2004.
M.Sc. (Mathematics)
College: Government Arts College.
University: Bharathiar University, Coimbatore.
Percentage 87.75 Graduations June 2002.
B.Sc. (Mathematics)
College: Government Arts College.
University: Bharathiar University, Coimbatore.
Percentage 87.82 Graduations June 2000.
HSC: C.S.I Higher Secondary School, Fort, Salem.
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Percentage: 84.5%, April 1997.
Matriculation: C.S.I. Good Shepherd Matriculation School, Fort,
Salem. Percentage: 78.5%, April 1995.
EXPERIENCE
Five years of teaching experience, currently working as Assistant Professor in
University College of Engineering Nagercoil, Anna University : Chennai, Nagercoil -
629 004.
HANDLING PAPERS IN CURRENT SEMESTERS
1. Engineering Mathematics-I
2. Transforms and Partial Differential Equations
HANDLED PAPERS FOR UG
1. Engineering Mathematics I.
2. Engineering Mathematics II
3 Discrete Mathematics
3. Transforms and Partial Differential Equations
4. Probability and Queueing Theory.
5. Probability and Random Processes.
HANDLED PAPERS FOR PG
1. Applied Mathematics for Electronics Engineers
2. Applied Mathematics for Electrical Engineers
AREA OF INTEREST
Graph Theory, Discrete Mathematics, Analytical Geometry.
PROJECT ARENA
Currently working on a research papers related to Graph Colorings
GUEST LECTURES
Delivered a Guest Lecturer on Applications of Graph Theory-P.G.
Seminar at Sri Narayana Guru College, Coimbatore on 9-09-2009.
Delivered a Guest Lecturer on LaTex-FDP-Programme at SSK
College of Engineering and Technology, Coimbatore on 5 -12-2009.
Delivered a Guest Lecturer on LaTex- Programme at Erode Senguthar
College o f Engineering and Technology, Perundurai on 13 -3-2010.
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Delivered a Guest Lecturer on LaTex- Programme at R.V.S College of
Engineering and Technology, Coimbatore on 24-07-2012.
Delivered a Guest Lecturer on LaTex- (At a FDP-Programme) at
Government College of Technology, Coimbatore on 25-07-2012.
Delivered a Guest Lecturer on Applications of Graph Colorings-
National Conference on Graph Theory and its Applications at St.
Xavier s Catholic College of Engineering, Nagercoil on 29-09-2012.
REVIEWED ARTICLES FOR JOURNALS
ARS COMBINATORIA
UTILITAS MATHEMATICA
DISCRETE APPLIED MATHEMATICS (ELSEVIER)
ELECTRONIC JOURNAL OF COMBINATORICS
INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND
TECHNOLOGY (IJEST)
FASCICULI MATHEMATICI
ARS MATHEMATICA CONTEMPORANEA
PROCEEDINGS OF NATIONAL ACADEMCY OF SCIENCES,
PHYSICAL SCIENCES (SPRINGER)
REVIEWER
AMERICAN MATHEMATICAL SOCIETY (AMS)
LIST OF RESEARCH PUBLICATIONS IN IMPACT FACTOR JOURNALS
1. R. Jeetendra and J.Vernold Vivin, Delay range-dependent stability analysis for
Markovian jumping stochastic systems with nonlinear perturbation, Journal of
Stochastic Analysis and Applications, Vol 30 (4), (2012) pp. 590-604. DOI:
10.1080/07362994.2012.684321. (Impact factor 0.419)
2. R. Jeetendra and J.Vernold Vivin, Stability analysis of uncertain stochastic
systems with interval time-varying delays and nonlinear uncertainties via
augmented Lyapunov functional, Filomat 26:6 (2012), pp.1174 1183.
(Impact factor 0.421)
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3. J.Vernold Vivin and Venkatachalam.M, The b-Chromatic Number of Corona
Graphs, Utilitas Mathematica, Vol. 88 (2012), pp.299-307.
(Impact factor 0.743)
4. K.Kaliraj, J.Vernold Vivin and M.M.Akbar Ali, On Equitable Coloring of
Sun let graph Families, Ars Combinatoria, Vol.103 (2012), pp 497-504.
(Impact factor 0.441)
5. J.Vernold Vivin, M.Venkatachalam and M.M.Akbar Ali, A note on
Achromatic Coloring of Star Graph Families, Filomat, Vol.23, No.3, (2009) pp.
251-255. (Impact factor 0.421)
6. Kaliraj.K, Vernold Vivin.J and Akbar Ali.M.M, On Equitable Coloring of
Knodel Graphs, International Journal of Computer Mathematics, Submitted.
(Impact factor 0.589)
7. Vernold Vivin.J Harmonious Coloring on Corona Graphs
(Under Preparation)
LIST OF RESEARCH PUBLICATIONS IN REFERRED JOURNALS
1. K.Kaliraj, J.Veninstine Vivik and J.Vernold Vivin, Equitable Coloring on
Corona graph of graphs, Journal of Combinatorial Mathematics and
Combinatorial Computing, Vol. 81 (2012), pp.191-197.
2. J.Vernold Vivin and Venkatachalam.M, A Note On Star Coloring Of Central
Graph Of Bipartite Graph And Corona Graph Of Complete Graph With Path
And Cycle, Transactions on Combinatorics, Vol. 01 No.1 (2012), pp. 31-34.
3. M.Venkatachalam, J.Vernold Vivin & K.Kaliraj, Harmonious Coloring on
Double Star Graph Families, Tamkang Journal of Mathematics, Vol.43, No.2
(2012), pp.153-158.
4. J. Vernold Vivin, K. Kaliraj, and M. M. Akbar Ali, Equitable Coloring on total
graph of bigraphs and central graph of cycles and paths, International Journal
of Mathematics and Mathematical Sciences, Volume 2011 (2011), Article ID
279246, 5 pages, doi:10.1155/2011/279246.
5. M.Venkatachalam & J.Vernold Vivin, The b-Chromatic number of Star Graph
Families, Le Matematiche, Vol. LXV (2010) Fasc. I, pp. 119 125, doi:
10.4418/2010.65.1.10
6. K.Kaliraj & J.Vernold Vivin, On Equitable Coloring of Helm and Gear Graph,
International J.Math. Combin. Vol.4 (2010), pp. 32 37.
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7. M.M.Akbar Ali, S.Panayappan & J.Vernold Vivin, Tulgeity of Line, Middle
and Total Graph of Wheel Graph Families, International J.Math. Combin. Vol.3
(2010), 98-107.
8. J. Vernold Vivin, M.M.Akbar Ali & K. Kaliraj, On Harmonious Coloring of
Total Graph of C ( C n ), C ( K 1, n ) and C ( P n ), Proyecciones Journal of
Mathematics, Vol. 29, No.1, (May 2010), 57-74.
9. J. Vernold Vivin & M.M.Akbar Ali On Harmonious Coloring of Middle Graph
of C ( C n ), C ( K 1, n ) and C ( P n ), Note di Matematica, Vol.29, No.2, (2009), 203-
214.
10. J.Vernold Vivin, M.Venkatachalam & M.M.Akbar Ali, Achromatic Coloring
on Double star graph Families, International Journal of Mathematical
Combinatorics, Vol. 3, (2009), pp.71-81.
11. M.M.Akbar Ali, K.Kaliraj & J.Vernold Vivin, On Equitable Coloring of
Central Graphs and Total Graphs, Electronic Notes in Discrete Mathematics,
Vol. 33, (2009), pp.1-6.
12. Vernold Vivin J and K.Thilagavathi, On Harmonious Coloring of line graph of
Central graph of Paths, Applied Mathematical Sciences, Vol. 3, (2009), No.5,
pp.205-214.
13. Vernold Vivin J, M.M.Akbar Ali and K.Thilagavathi, On Harmonious
Coloring of Central graphs, Advances and Applications in Discrete
Mathematics, Vol. 2, No.1 (2008), pp.17-33.
14. M.M.Akbar Ali and J.Vernold Vivin, Harmonious Chromatic Number of
Central graph of Complete Graph Families, Journal of Combinatorics,
Information and System Sciences. Vol. 32 (2007) No.1-4 (combined), pp. 221-
231.
15. J.Vernold Vivin, K.Thilagavathi and B.Anitha, On Harmonious Coloring of
Line Graph of Central Graphs of Bipartite Graphs, Journal of Combinatorics,
Information and System Sciences. Vol. 32 (2007) No.1-4 (combined), pp. 233-
240.
16. K.Thilagavathi and Vernold Vivin.J, Harmonious coloring of cycles, regular
graphs, star n-leaf, festoon trees and bigraphs, Far East J. Math. Sci. (FJMS),
Volume 26, No.3 (2007) pp.779-788.
17. K.Thilagavathi and Vernold Vivin.J and B.Anitha, Circumdetic Graphs, Far East
J. Applied Math. (FJAM), Volume 26, No.2 (2007) pp.191-201.
18. K.Thilagavathi and Vernold Vivin.J, Harmonious Coloring of Graphs, Far East
J. Math. Sci. (FJMS), Volume 20, No.2 (2006) pp. 189-197.
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19. K.Thilagavathi and Vernold Vivin.J, Arena Graph, Bulletin of Pure and Applied
Sciences Vol. 25E (No.1) (2006) pp. 165-170.
20. K.Thilagavathi and Vernold Vivin.J, n leaf and star n leaf, Bulletin of Pure
and Applied Sciences, Vol. 25E (No.1) (2006) pp. 209-213.
21. K.Thilagavathi and Vernold Vivin.J, Some interesting results on Total Graphs,
Acharya Nagarjuna International Journal of Mathematics and Information
Technology, (ANIJMIT), Volume.1, No.2 (2004) pp. 83-96.
LIST OF RESEARCH PUBLICATIONS IN REFERRED CONFERENCE PROCEEDINGS
1. J.Vernold Vivin and M.Venkatachalam, Equitable Coloring on Double Star Graph
Families, Proceedings of the International Conference on Management Sciences and
Decision Making (ICMSDM-2010), Tamkang University, Taiwan, May 22-2010. pp.
33-36.
2. J.Vernold Vivin and M.Venkatachalam, Star Coloring and Equitable Coloring on
Star and Double Star Graph Families, Proceedings of International Conference on
Mathematical and Computational Models, PSG College of Technology, ICMCM 09,
December 2009, pp.286-291.
3. J.Vernold Vivin and K.Kaliraj, On Equitable Coloring of Wheel Graph Families,
Proceedings of International Conference on Mathematical and Computational Models,
PSG College of Technology, ICMCM 09, December 2009, pp.248-251.
4. Akbar Ali.M.M, S.Panayappan, J.Vernold Vivin and K.Kaliraj, Cycle Multiplicity
of Middle Graph of Cn, Pn, and K1,n, Proceedings of National Conference on
Mathematical and Computational Model, PSG College of technology, Coimbatore, on
Dec 13-15, 2007 pp. 176-181.
5. Vernold Vivin.J, Akbar Ali.M.M and K.Thilagavathi, Harmonious Coloring on
Central Graphs of Odd Cycles and Complete Graphs, Proceedings of the International
Conference on Mathematics and Computer Science (ICMCS 2007), March 1-3, 2007,
Loyola College, Chennai, India pp. 74-78.
6. K.Thilagavathi, Vernold Vivin.J and Anitha.B, On Harmonious Coloring of
L[C(K1,n)] and L[C(Cn)], Proceedings of the International Conference on Mathematics
and Computer Science (ICMCS 2007), March 1-3, 2007, Loyola College, Chennai,
India pp.189-194.
RESEARCH PAPERS PRESENTED IN SYMPOSIA / SEMINARS / CONFERENCES
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1. Equitable Coloring on Double Star Graph Families, Presented at the
International Conference on Management Sciences and Decision Making
(ICMSDM-2010), Tamkang University, Taiwan, May 22-2010.
2. A Note on Achromatic Coloring of Star Graph Families, Presented at the
International Conference on Discrete Mathematics, ICDM-2008, June 6-10, 2008,
University of Mysore, Mysore, India.
3. On Harmonious Colouring of Middle Graph of C(Cn), C(K1,n) and C(Pn), Presented
at the International Conference on Graph Theory Day-III, June 10-14, (2007)
Kalasalingam University.
4. Harmonious Colouring on Central Graphs of Odd Cycles and Complete Graphs
(WON THE BEST PAPER AWARD) Presented at the International Conference on
Mathematics and Computer Science (ICMCS 2007), March 1-3, 2007, Loyola
College, Chennai, India.
5. On Harmonious Colouring of L[C(K1,n)] and L[C(Cn)], Presented at the
International Conference on Mathematics and Computer Science (ICMCS 2007),
March 1-3, 2007, Loyola College, Chennai, India.
On Harmonious Colouring of L [ C ( P n )], Presented at CMASM 2007 FIM
6.
XIV (The fourteenth International Conference of the Forum for Interdisciplinary
Mathematics), January 6-8, 2007, Chennai, India.
7. On Harmonious Colouring of, Presented at CMASM 2007 FIM
L[C ( K )]
n,n
XIV (The fourteenth International Conference of the Forum for Interdisciplinary
Mathematics), January 6-8, 2007, Chennai, India.
8. On Harmonious Colouring of M [ C ( C n )] and M [ C ( K n )] Presented at National
Symposium on Mathematical Methods and Applications (NSMMA 2006) at Indian
Institute of Technology Madras, during December 2006.
9. On Harmonious Coloring of M [ C ( P n )] and presented at National
M [ C ( K 1, n )]
Symposium on Mathematical Methods and Applications (NSMMA 2006) at Indian
Institute of Technology Madras, during December 2006.
10. On Harmonious Colouring of Central Graph, Presented at the UGC Sponsored
State Level Conference On Recent Advancements in Graph Theory and its
Applications, The Standard Fireworks Rajaratnam College for Women, Sivakasi,
18th and 19th August 2006.
11. On Harmonious Colouring of Circumdetic Graphs, Presented at the National
Seminar on recent innovations in Mathematics, Kongunadu Arts and Science
College, Coimbatore, 5th August 2006.
12. Circumdetic Graphs presented at the National Seminar on Recent Trends in
Nonlinear Differential Equations and Dynamical Systems, P.S.G College of Arts and
Science, during 24th & 25th March 2006.
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13. Harmonious Colouring of Cycles, Dutch m-Windmills and Bigraphs presented at
the National Seminar on Recent Trends in Nonlinear Differential Equations and
Dynamical Systems, P.S.G College of Arts and Science, during 24th & 25th March
2006.
14. Harmonious Colouring On Trees and Reg ular Graphs presented in the State
Level Conference on Applied Operations Research (SCAOR - 2006) at
Government Arts College, Coimbatore during 6th and 7th January 2006.
15. On Harmonious Colouring of cycles, bipartite graphs and festoon trees
presented at the National Symposium on Mathematical Methods and Applications
(NSMMA 2005) at Indian Institute of Technology Madras, during December 2005.
16. n leaf and Star n- leaf presented at the National Symposium on Mathematical
Methods and Applications (NSMMA 2005) at Indian Institute of Technology
Madras, during December 2005.
17. Harmonious Colouring on Graphs presented in the Third National Conference
on Mathematical and Computational Models (NCMCM 2005) at PSG College of
Technology, in December 2005.
18. Vertex line Graph presented in the National Conference on Graph Theory
organized by Alliance Business Academy, Satish Dhawan Auditorium, Bangalore
16th and 17th April 2005.
19. Medial Graphs presented in the International Conference on Discrete
Mathematics and its Applications held at Amrita Vishwa Vidyapeetham, Coimbatore
during December 09-11, 2004.
20. Solving FAP in Radio Networks and Graph Colouring Based Register Allocation
using Artificial Intelligence presented in the International Conference on Discrete
Mathematics and its Applications held at Amrita Vishwa Vidyapeetham,
Coimbatore during December 09-11, 2004.
21. Proposal and Comparison of search heuristics for medial subgraph presented at
the National Symposium on Mathematical Methods and Applications (NSMMA 2004)
at Indian Institute of Technology Madras, during December 2004.
22. Solving a bipartite graph colouring using genetic Algorithm presented at the
National Level Seminar on Mathematical Modeling at P.S.G.R. Krishnammal
College for Women, Coimbatore, held during 6th August 2004.
23. An Artificial Intelligence Approach to Solve Graph Colouring Related
Applications presented at the State Level Seminar on Graph Theory and its
Applications held at Lady Doak College, Madurai, during 2nd and 3rd August 2004.
24. Channel Assignment for Radio networks using Evolutionary Computation
presented at the National Symposium on Mathematical Methods and Applications
(NSMMA 2003) at Indian Institute of Technology Madras, during December 2003.
Vernold Vivin. J
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