Title of the Thesis : Study of Decomposition Problems in Graph Theory (Under the guidance of
Prof. M I Jinnah, Kerala University) http://hdl.handle.net/10603/153023

Broad Area of Research : Mathematics – Graph Theory

Google Scholar Link : https://scholar.google.com/citations?user=HFpWWVYAAAAJ&hl=en

ORCID : https://orcid.org/0000-0003-2712-3775

Publications

1 Reji T and Jinitha Varughese. “Bounds for the decomposition dimension of some class of
graphs”, Discrete Mathematics, Algorithms and Applications (2022). Vol. 15, No. 06, 2250140
(2023) https://doi.org/10.1142/S1793830922501403.

2 Reji T, Ruby R and Sneha B, “LEAST COMMON MULTIPLE OF PRODUCT GRAPHS”, Palestine
Journal of Mathematics Vol. 12(Special Issue II)(2023) , 13–19 https://pjm.ppu.edu/paper/1356-
least-common-multiple-product-graphs

3 Reji T, Pavithra R.“Coupon Coloring of Rooted Product Graphs”, Palestine Journal of
Mathematics Vol. 12(Special Issue II) (2023), 7–12. https://pjm.ppu.edu/paper/1355-couponcoloring-rooted-product-graphs

4 Reji T and Pavithra R. (2023). “On Coupon Coloring of Cayley Graphs.” In: Bagchi, A., Muthu, R.
(eds) Algorithms and Discrete Applied Mathematics. CALDAM 2023. Lecture Notes in Computer
Science, vol 13947, 184-191. Springer, Cham. https://doi.org/10.1007/978-3-031-25211-2_14

5 Reji T, Pavithra R. “On Coupon Coloring of Some Cayley Graphs”, Palestine Journal of
Mathematics Vol. 12(1)(2023) , 265–272 https://pjm.ppu.edu/paper/1270-coupon-coloringsome-cayley-graphs

6 T. Reji, S. Vaishnavi, and F. J. H. Campeña, “A note on fold thickness of graphs”, Proyecciones
(Antofagasta, On line), vol. 42, no. 1, pp. 167-174, Jan.
2023.https://doi.org/10.22199/issn.0717-6279-5655

7 Reji Thankachan, Ruby Rosemary, and Sneha Balakrishnan. “Projective Dimension of Some
Graphs.”, Creat. Math. Inform., Vol. 32 No. 1 (2023) 87-96,
https://doi.org/10.37193/CMI.2023.01.09

8 T. Reji, R. Ruby, B. Sneha, “Least Common Multiple of Path, Star with Cartesian Product of Some
Graphs”, Journal of Mathematical Research with Applications, (2022) Vol. 43 No. 1 (2023) 9-15,
DOI:10.3770/j.issn:2095-2651.2023.01.002
https://caod.oriprobe.com/articles/64577931/Least_Common_Multiple_of_Path__Star_with_C
artesian.htm

9 Reji T and Pavithra R, “ Coupon coloring of lexicographic product of graphs”, The Art of Discrete
and Applied Mathematics, (2022), doi.org/10.26493/2590-9770.1507.dc5 https://adamjournal.eu/index.php/ADAM/article/view/1507

10 Reji T, Pavithra R, “ Coupon Coloring of Ideal based Zero divisor graphs”. South East Asian
Journal of Mathematics and Mathematical Sciences Vol. 21, Proceedings (2022), pp. 183-190.
https://rsmams.org/journals/proceedings_articleinfo.php?articleid=65&tag=seajmams

11 Jinitha Varughese, Reji T, “On star decomposition dimension of some class of graphs.” South
East Asian Journal of Mathematics and Mathematical Sciences, Vol. 21, Proceedings (2022), pp.
197-206. https://rsmams.org/journals/proceedings_articleinfo.php?articleid=65&tag=seajmams

12 T. Reji and R. Ruby, “Decomposition dimension of corona product of some classes of
graphs”, Proyecciones (Antofagasta, On line), vol. 41, no. 5, pp. 1239-1250, Sep. 2022.
doi.org/10.22199/issn.0717-6279-5466

13 Reji T and Ruby R, “Decomposition dimension of some class of trees”, J. Adv. Math. Stud.,
(2022), Vol. 15, No. 3, 338-347
http://fairpartners.ro/upload_poze_documente/files/VOLUMUL%2015(2011)%2C%20NR.%203/
11_Reji.pdf

14 Reji Thankachan, and Vaishnavi Sidharthan. “Fold thickness of some classes of graphs”, Creat.
Math. Inform., Vol. 3, No. 2 (2022), pp 259-265. https://doi.org/10.37193/CMI.2022.02.11

15 Reji T., Ruby R.: “Decomposition dimension of Cartesian product of some
Graphs”, Discrete Mathematics, Algorithms and Applications, (2022),
https://doi.org/10.1142/S1793830922501154

16 Thankachan Reji, Ruby Rosemary, and Sneha Balakrishnan. “Gallai-Ramsey number for rainbow
S3.”, Discrete Math. Lett., 10 (2022) 45-50, doi.org/10.47443/dml.2022.033.
https://www.dmlett.com/archive/v10/DML22_v10_pp45-50.pdf

17 Reji T and Saritha Chandran C, “Common Multiples of path, star and cycle with complete
bipartite graphs”, South East Asian Journal of Mathematics and Mathematical Sciences, Vol. 18,
No. 1 (2022), pp. 351-362.
https://rsmams.org/journals/articleinfo.php?articleid=700&tag=seajmams

18 Thankachan Reji and Saritha Chandran. “Common multiples of paths and stars with complete
graphs.” Gulf Journal of Mathematics 12.1 (2022): 1-14.
https://doi.org/10.56947/gjom.v12i1.780

19 Reji T., Jinitha Varughese, and R. Ruby. “On graphs that have a unique least common
multiple.” CUBO, A Mathematical Journal 24.1 (2022): 53-62. https://doi.org/10.4067/S0719-
06462022000100053

20 Reji T., and S. Vaishnavi. “Fold thickness of graphs.” Journal of the Ramanujan Math. Society”
36.4 (2021): 291-299. http://www.mathjournals.org/jrms/2021-036-004/2021-036-004-
005.html

21 Reji T., and R. Ruby. “On decomposition of multistars into multistars.” Ratio Mathematica 41
(2021): 45 – 52. doi.org/10.23755/rm.v41i0.681
http://eiris.it/ojs/index.php/ratiomathematica/article/view/681

22 Reji T, Sneha B, “Least Common Multiple of Path with 3 edges and Cartesian product of cycles”,
Aureole, Vol. XII, December 2020 , 166-172. https://aureoleonline.in/wpcontent/uploads/2021/08/175_Aureole-2020.pdf

23 Reji T., and Jinitha Varughese. “Least common multiple of graphs.” Discrete Mathematics,
Algorithms and Applications 8.02 (2016): 1650032.
https://doi.org/10.1142/S1793830916500324

24 Reji T. “Vector Spaces of a Graph”. Proc. of the U.G.C Sponsored National.Seminar on Graph
Theory and its Applications-M.P.M.M.S.N.Trust College, Shoranur, 28-29 October 2015.

25 Reji T. “On Decomposition of Multistars into Multistars.” Proc. of the U.G.C Sponsored
National.Seminar on Graph Theory and its Applications-St. Xaviers College, Aluva. 07-09 August
2014

26 Reji T. “Decomposition dimension and Partition Dimension of Graphs.” Proc. of the U.G.C
Sponsored National.Seminar on Number Theory and Combinatorics- T.K.M Arts and Science
College, Kollam, 29-31 October 2014.

27 Reji T. “On Multigraphs that have a Unique Least Common Multiple.” Proc. Of the U.G.C
Sponsored National Conference on Graph Theory and Automata. Government College, Chittur.
22-24 March 2007

28 T. Reji, “On graphs that have a unique least common multiple with matchings”, Far East J.Appl.
Math., vol. 18, no. 3, pp. 281–288, 2005.

29 M.I. Jinnah and Reji T. “Least Common Multiple of C 5 and K1,l.” Proc. Of the Annual
Conference of Kerala Mathematical Association. 08-10 Jan 2004.

Paper Presentations

Research Projects and Grants

Research Guideship Details : Recognized as a research guide under University of Calicut.

Number of students registered for Ph D : 03
Number of students awarded : 01

Seminars / Workshops Organized

Academic & Administrative Responsibilities

1. Member, Board of Studies (P.G), Calicut University2. Member, Board of Studies (U.G), S.B. College (Autonomous), Changanacherry
3. Member, Academic Committee, Directorate of Collegiate Education, Kerala
4. Co-ordinator, Student Support Services(Hostel Management)-Comprehensive Education Management
Information System, Directorate of Collegiate Education, Kerala