Research Publications

Published Papers Published in Journals

• Kottarathil, Jomon 2023, ‘On pseudo-balancing of path-induced Signed graphs’, Jordan Journal of Mathematics and Statistics (JJMS), vol.16, no.3, pp.431-443, DOI: 10.47013/16.3.4.(Scopus Indexed,ESCI Indexed, Included in UGC Care List-II).
• Sebastian, JK, Kureethara, JV, Naduvath, S, & Dominic, C 2019, ‘A study on the pendant number of graph products’, Acta Universitatis Sapientiae, Informatica, vol.11, no.1, pp.24-40, DOI: 10.2478/ausi-2019-0002.(ESCI Indexed, Included in UGC List).
• Sebastian, JK, Kureethara, JV, Naduvath, S, & Dominic, C 2019, ‘On the pendant number of some new graph classes’, Research & Reviews: Discrete Mathematical Structures, vol. 6, no.1, pp.15-21, DOI: 10.37591%2Frrdms.v6i1.1900 (UGC SERIAL NO.47032).
• 3. Sebastian, JK, Kureethara, JV, Naduvath, S, & Dominic, C 2018 ‘On Star Decomposition and Star Number of Some Graph Classes’, International Journal of Scientific Research in Mathematics and Statistics, Vol.5 , Issue.6, pp.78–82, DOI: 10.26438/ijsrmss/v5i6.7882. (UGC SERIAL NO.63061).
• Sebastian, JK & Kureethara, JV 2018, Pendant number of graphs, International Journal of Applied Mathematics, vol.31, no.5, pp.679-689, DOI: 10.12732/ijam.v31i5.12. (Scopus Indexed, Included in UGC List).
• Sattanathan, M & Sebastian, JK, Different Types of Connected Spaces, Mapana Journal of Sciences, vol.8, no.1, 2009, pp.45-55. ISSN 0975-3303.

Published Book Chapters

• Kottarathil, J 2024, On the Importance of the Graph Pair (C4 ∪ P2, C4 ∪ P2 ) in the Study of Multidesigns and Data Security, in Data Science and Security.IDSCS 2024. Lecture Notes in Networks and Systems, (pp 145–155), vol 1354, Springer, Singapore, DOI: 10.1007/978 − 981 − 96 − 4880 − 112. ISBN: 978-981-97-0974-8. (Scopus Indexed, Included in UGC Care List)
• Jose, R, Kottarathil, J, & Susha, D 2024, Spectrum and Energy of the Mobius Function Graph of Finite Cyclic Groups, in Data Science and Security.IDSCS 2023. Lecture Notes in Networks and Systems, (pp 165–176), vol 922, Springer, Singapore, DOI: 10.1007/978 − 981 − 97 − 0975 − 514. ISBN: 978-981-97-0974-8. (Scopus Indexed, Included in UGC Care List)
• Kottarathil, J 2023,Chromatic M-polynomial of rooted product of paths and cycles, in Josephine Researcher VI, (pp.104-110), St. Joseph’s College, Moolamattom, ISBN: 978-93-87709-90-4.
• Kottarathil, J,& Naduvath, S 2022, Selfipendant and extremal pendant graphs, in Advances in Mathematical Modeling and Scientific Computing Vol.2:Trends in Mathematics ICRDM 2022, (pp 879–888), Springer, Birkhauser Cham, DOI: 10.1007/978−3−031−41420− 675. ISBN: 978-3-031-41419-0. (Scopus Indexed, Included in UGC Care List)
• Kottarathil, J, Naduvath, S, & Kureethara, JV 2022, The pendant number of line graphs and total graphs, in Data Science and Security. Lecture Notes in Networks and Systems, (pp 457–468), vol 462, Springer, Singapore, DOI: 10.1007/978−981−19−2211−441. ISBN: 978-981-19-2210-7. (Scopus Indexed, Included in UGC Care List)
• Kottarathil, J, & Naduvath, S 2022,Chromatic M-polynomial of Graphs, in Josephine Researcher V, (pp.104-119), St. Joseph’s College, Moolamattom, ISBN: 978-93-87709-83-6.
• Sebastian, JK, Kureethara, JV, & Naduvath, S 2020,The pendant number of some graph products, in Recent Advancements in Graph Theory, (pp.221-231), CRC Press, ISBN: 978-0-367-45886-7

Books 

Graph Theory and Decomposition, Author:Jomon Kottarathil, Sudev Naduvath & Joseph Vaghese Kureethara, Publisher: CRC Press of Taylor& Francis Group, Boca Raton, London, New York. https://www.routledge.com/Graph-Theory-and-Decomposition/Kottarathil-NaduvathKureethara/p/book/9781032489230 www.routledge.com/9781032489230 (This book serves as a reference book for the Graph Theory course in the Four-Year Under Graduate Program at Mahatma Gandhi University, Kottayam, and the University of Calicut, Calicut.)

Books Published in Malayalam

• Jomon Kottarathil(Editor), Brother Shaji George Perunilath-Kristhuvinte Nirbhayanaya Sakshi, Community of Grace.

Other Published in Malayalam

• Jomon Kottarathil, Kristhusamooham-Udthithasamooham, Juan Jyothi, vol.9, no.4, April 2023, pp.19-20.
• Jomon Kottarathil, Manaltharikale Snehicha Kunjunakshathram, Juan Jyothi, vol.8, no.88, December 2022, pp.6-7.
• Jomon Kottarathil, Visudhiyute Uravitangalakuka, Juan Jyothi, vol.8, no.85, September 2022, pp.17-18.
• Jomon Kottarathil, Namukkum Sehion Oottusalayilekku Pokam, Juan Jyothi, vol.8, no.82, June 2022, pp.8-10.
• Jomon Kottarathil, Vazhikalorayiram Munnilunde, in Ganithokthikal-3, CNewsLive, https://cnewslive.com/news/30136/the-graph-theory-in-mathematics-and-life-lesson-vp
• Jomon Kottarathil, Apariharyamaya Prasnangalilla, in Ganithokthikal-2, CNewsLive, https://cnewslive.com/news/25954/no-unresolved-issues-vp
• Jomon Kottarathil, Daivasankalppam: Oru Ganithaveekshanam, in Ganithokthikal-1, CNewsLive, https://cnewslive.com/news/24987/concept-of-god-a-mathematical-perspective-vp
• Jomon Kottarathil, Athbuthangal Undakunnathu, Vachanam Baalivediyil, vol.15, no.1, 2021, pp.58-59.
• Jomon Kottarathil, Ee Ooshara Pranayakaalathu, Juan Jyothi, vol.7, no.69, February 2021, pp.26-28.
• Jomon Kottarathil, Mannanam Kunnile Meymasappokkal, Karmela Kusumam, vol.118, no.6,7, June, July 2020, pp.34-35.
• Jomon Kottarathil, Mattathinte Manimuzhakkam, Juan Jyothi, vol.5, no.59, December 2019, pp.11-12.
• Jomon Kottarathil, Savisesha Suviseshamakuka, Juan Jyothi, vol.5, no.57, October 2019, pp.7-9.
• Jomon Kottarathil, Kurisukal Varippunaruvan Kshanikkappettavar, Juan Jyothi, vol.5, no.56, September 2019, pp.7-8.
• Jomon Kottarathil, Unarnnirikkunnavarodothirikkunnaval, Juan Jyothi, vol.5, no.54, July 2019, pp.14-16.
• Jomon Kottarathil, Hrudayathil Manushyante Kayyoppulla Daivam, Juan Jyothi, vol.5, no.53, June 2019, pp.9-10.
• Jomon Kottarathil, Thozhilidangalile Cheruthiri Velichangal, Juan Jyothi, vol.5, no.52, May 2019, pp.7-9.
• Jomon Kottarathil, Thangal Kuththi Murivelppichavane Avar Nokki Nilkkum, Juan Jyothi, vol.5, no.51, April 2019, pp.6-7.
• Jomon Kottarathil, Mananabhoovenna Kalalayam, Juan Jyothi, vol.5, no.50, March 2019, pp.9-11.
• Jomon Kottarathil, Samarppanathin Anandam, Juan Jyothi, vol.5, no.49, February 2019, pp.28- 29.
• John Kottarathil, Sabhayute Hrudayaspandanam, Gothambumani, vol.7, no.2, 2016, pp.14-15.
• John Kottarathil, Angekku Sthuthi, Yuvanayanam Smaranika, September 2015, pp.79-80.

Conference Papers

• Jomon Kottarathil, On Pendant Number Algorithm for Pyber Graphs, 6th International Conference on Data Science, Computation and Security (IDSCS-25) held at CHRIST (Deemed to be University), India during during 14-15, November, 2025.
• Jomon Kottarathil, On the Importance of the Graph Pair (C4 ∪ C2, C4 ∪ P2) in the study of Multidesigns and Data Security, 5th International Conference on Data Science, Computation and Security (IDSCS-24) held at CHRIST (Deemed to be University), India during during 07-09 November, 2024.
• Jomon Kottarathil, 2 - order prime graph, International Conference on Graph Theory and its Applications (ICGTA 2023) held at CHRIST (Deemed to be University), Bangalore during 30 November – 02 December, 2023.
• Jomon Kottarathil, 2 - order prime graph, International Conference on Mathematical Modelling Analysis and computing (MMAC-2023) held at Holy Cross Arts and Science College for women Tirupattur, Tamilnadu during 21-22 October, 2023.
• Jomon Kottarathil, Selfipendant and Extremal Pendant Graphs, International Conference on Recent Developments in Mathematics (ICRDM 2022) held at Canadian University Dubai, Duabi, UAE during 24-26, August 2022.
• Jomon Kottarathil, Non-identity Order Divisor Graph of a Group, 18th Annual Conference of ADMA and Graph Theory Day held at Vellalar College for Women (Autonomous), Erode-12 during 09-11, June 2022.
• Jomon K Sebastian, The Pendant Number of Line Graphs and Total Graphs, International Conference on Data Science Computation and Security (IDSCS 2022) held at CHRIST (Deemed to be University), Lavasa Campus, Pune during 11-12, February 2022.
• Jomon K Sebastian, On Pseudo Balancing of Path Induced Signed Graphs, International Conference on Discrete Mathematics (ICDM 2021) held at Manonmaniam Sundaranar University, Tirunelveli during 11-13, October 2021.
• Jomon K Sebastian, On p-induced Signed Graphs, International Web Conference on Signed Graphs and Allied Areas(ICSGAA-2020) held at Central University of Kerala, Kasargod, during 7–9, December 2020.
• Jomon K Sebastian, Extremalpendant Graphs, International Conference on Graph Labelings and Applications (ICGLA-2020) held at Goa University, Goa, during 17–19, September 2020.
• Jomon K Sebastian, The Selfipendant and Extremalpendant Graphs, International Conference on Recent Trends in Graph Theory (ICRTGT-2020) held at Karnatak University, Dharward, during 27–29, July 2020.
• Jomon K Sebastian, The Pendant Number of Graphs, National Conference on Emerging Trends in Graph Theory (NCETGT-2020) held at CHRIST (Deemed to be University), Bangalore, during 27–28, February 2020.
• Jomon K Sebastian, On the Pendant Number of Some Graph Products, National Conference on Recent Advancements in Graph Theory (RAGT-2019) held at Gujrat University, Ahmedabad, during 9–10, November 2019.
• Jomon K Sebastian, On the Pendant Number of Some Graph Products, International Conference on Discrete Mathematics (ICDM-2019) (15th Annual Conference of ADMA) held at CHRIST (Deemed to be University), Bangalore, during 8–10, June 2019.
• Jomon K Sebastian, 2-Order Prime Graph, International Conference on Emerging Trends in Graph Theory (ICETGT-2019) held at CHRIST (Deemed to be University), Bangalore, during 27–28, February 2019.
• Jomon K Sebastian, Star Number of Graphs, International Conference on Emerging Trends in Graph Theory (ICETGT-2019) held at CHRIST (Deemed to be University), Bangalore, during 27–28, February 2019.
• Jomon K Sebastian, Some Properties of Pendant Number of Graphs, National Conference on Recent Trends in Mathematics and It’s Applications (NCRTMA-2018) held at GITAM (Deemed to be University), Bengaluru, during 21–22, December 2018.
• Jomon K Sebastian, A Note on d-decomposition of Graphs with Small Orders, National Conference on Mathematical Analysis and Computing (NCMAC-2018) held at SSN College of Engineering, Chennai, during 13–14, December 2018.
• Jomon K Sebastian, A Study on the Pendant Number of Graphs, International Conference on Theoretical Computer Science and Discrete Mathematics (ICTCSDM-2018) held at SSN College of Engineering, Chennai, during 03–05, December 2018.
• Jomon K Sebastian, Properties of Pendant Number of Graphs, International Conference on Advances in Pure and Applied Mathematics 2018 held at Madurai Kamaraj University, Madurai, during 06–08, September 2018.
• Jomon K Sebastian, Pendant Number of a Graph, CSIR sponsored International Workshop on Graph Theory and Internet of Things in Engineering held at VIT (Deemed to be University), Chennai, during 13–14, July 2018.
• Jomon K Sebastian, A note on the Theory of MI, National Level Seminar on Impact of Emotional Intelligence and Multiple Intelligence on Teacher Effectiveness (EI+MI=TE) held at Lisiuex College of Education, Coimbatore, on 29th March, 2014.

FlP/FDP/Workshop/ Training Attended

• Participated in Instructional School for Teachers (IST) on Mathematical Foundation for Data Science and Machine Learning using MATLAB (MFDSMLM2025), sponsored by the National Board for Higher Mathematics (NBHM) organized by the National Centre for Mathematics (a joint centre of TIFR and IIT Bombay) as part of the Advanced Training in Mathematics Schools at the Centre for Applied Mathematics, International Institute of Information Technology, Naya Raipur (IIIT,NR) Chhattisgarh- 49366l,India, during 2-14 June, 2025.
• Participated in Faculty Development Program on Generative AI and Prompt Engineering organized by 360DigiTMG, India in association with Additional Skill Acquisition Programme Kerala (ASAP) during 9-24 December, 2024.
• Participated in workshop on WASH - Strengthening Social Outreach through Water, Sanitation, and Hygiene Initiatives organized by Kerala Agricultural University, Kerala held at Capacity Building Centre, Socio-Economic Unit Foundation, Sarvodayapuram, Kalavoor, Alappuzha during 07-08 November 2024.
• Participated in One Week National-Level Online Workshop on Graph Theory and Python (Your Gateway to AI and Machine Learning) organized Indian Mathematics Professors Association and Infinity Research and Development Institute, Coimbatore during 22-26 October, 2024.
• Participated in Two Week Interdisciplinary Refresher Course on Recent Advancements in Mathematics, Statistics and Computer Science organized by Malaviya Mission Teacher Training Centre (MMTTC), Central University of South Bihar (CUSB), Gaya during October 14-26, 2024.
• Participated in NEP 2020 Orientation & Sensitization Programme (MMC-049- 2024-JUNE-B-00512) organized by Malaviya Mission Teacher Training Centre (MMTTC), University of Calicut during 18-27 June 2024.
• Participated in Workshop for the Syllabus Preparation of Four Year Under Graduate Programmes (FYUGP) of Mahatma Gandhi University, Kottayam, Kerala organized by Mahatma Gandhi University, Kottayam, Kerala held at CMS College (Autonomous), Kottayam during 27 November- 01 December 2023.
• Participated in two weeks REFRESHER COURSE IN MATHEMATICAL SCIENCES organized by Teaching Learning Centre Ramanujan College, University of Delhi under the aegis of MINISTRY OF EDUCATION PANDIT MADAN MOHAN MALAVIYA NATIONAL MISSION ON TEACHERS AND TEACHING(PMMMNMTT) in collaboration with Sri SARADA COLLEGE FOR WOMEN (AUTONOMOUS) Affiliated to Periyar University during 31 October - 14 November, 2023.
• Participated in the IP Awareness/Training program under National Intellectual Property Awareness Mission Organized by Intellectual Property Office, India, held on n October 10, 2023.
• Participated in the Chat GPT & Artificial Intelligence Training jointly Organized by Infokairali Computer Magazine and Digital Magnet Institute of Digital Marketing, Thiruvananthapuram, India, held on August 19, 2023.
• Participated in 7 Day National Level Online Faculty Development Program on Outcome Based Education (OBE) organized by St. James College of Nursing and St. James College of Pharmaceutical Sciences, Chalakudy in association with The Kerala State Higher Education Council from 08 March to 15 March 2023.
• Participated in 4-Week Faculty Induction/Orientation Programme for Faculty in Universities/Colleges/Institutes of Higher Education organized by Teaching Learning Centre Ramanujan College, University of Delhi under the aegis of MINISTRY OF EDUCATION PANDIT MADAN MOHAN MALAVIYA NATIONAL MISSION ON TEACHERS AND TEACHING(PMMMNMTT) during 20 February – 21 March, 2023.
• Participated in the IP Awareness/Training program under National Intellectual Property Awareness Mission Organized by Intellectual Property Office, India, held on November 11,2022.
• Participated in the Workshop on Python Programming Organized by Department of Mathematics, University of Calicut, Malappuram, Kerala during 08-22 March 2022 in virtual mode.
• Participated in the IP Awareness/Training program under National Intellectual Property Awareness Mission Organized by Intellectual Property Office, India, held on February 16,2022 in virtual mode.
• Participated in an International Workshop on Graphs from Algebraic Structures (IWGAS 2021) Organized by Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli in association with Academy of Discrete Mathematics and Applications (ADMA) held at Manonmaniam Sundaranar University, Tirunelveli, during 7-9 October 2021 in virtual mode.
• Participated in an International Workshop on Graph Labelling (IWOGL WEBINAR 2021) Jointly Organized by University of Newcastle-Australia, Technical University of Košice-Slovakia, and Universitas Indonesia, Indonesia held at Universitas Indonesia, Indonesia, during 22-23 September 2021.
• Participated in 6 Days National level Intercollegiate Faculty Development Program on Outcome Based Education organized by Academic Section of St. Philomena’s College (Autonomous), Mysore in association with IPSR solutions Limited held at St. Philomena’s College (Autonomous), Mysore during 30 August- 04 September 2021 in virtual mode.
• Participated in the ADMA Annual Pre-Conference Workshop on Graph Theory and Python held at CHRIST (Deemed to be University), Bangalore, during 9–12, May 2019.
• Participated in the Workshop on TikZ held at CHRIST (Deemed to be University), Bangalore, during 5–7, November 2018.
• Participated and presented a paper in a CSIR sponsored International Workshop on Graph Theory and Internet of Things in Engineering held at VIT (Deemed to be University), Chennai, during 13–14, July 2018.
• Participated in a Managerial Training Programme on Human Resource Management Organized by KCBC Commission for Education held at Niveditha, Cochin, during 24–26, August 2015.
• Participated in a UGC-SAP-NBHM sponsored Instructional Workshop on Hypergraphs and Matroids held at Annamalai University, Annamalai Nagar,Tamil Nadu, during 27–31, March 2012.
• Participated in a CSIR-DST-NBHM sponsored National Workshop on Decompositions of Graphs and Product Graphs held at Periyar University, Salem,Tamil Nadu, during 22–25, June 2011.
• Participated and represented Kerala in the National Youth Workshop held at Indian Red Cross Society Punjab State Branch, Chandigarh, during 12–15, November 2002.
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