Research Interests
Transit Functions on Graphs, Hypergraphs, Digraphs, Graph Products, Bio informatics

Work Experience
2013 Visitor, University of Leipzig & Max Plank Institute Germany
2005-till date Assistant Professor, Dept. Mathematics, Government College Chittur, Palakkad, Kerala, India
2004-2005 Assistant Professor, Dept. of Mathematics, M.G. College,, Trivandrum,India
2000-2004 Lecturer, Institutions of IHRD, Tridandrum,India
2002–2009 Research Scholar, Dept. of Futures Studies, University of Kerala, Trivandrum, India
2008 Visitor, University of Maribor, Slovenia

List of Publications
○ Changat, M., Kamalolbhavan-Sheela, L. K., & Prasanth G.Narasimha-Shenoi (2024). “The
axiomatic characterization of the interval function of distance hereditary graphs”. Discrete Applied
Mathematics, 350, 62-70.
○ Changat, M., Gopakumar-Sheejakumari, G. K., & Prasanth G.Narasimha-Shenoi. (2024). “The
median function of a block graph: Axiomatic characterizations”. Discrete Applied Mathematics, 348,
246-259.
○ Changat, M., Prasanth G.Narasimha-Shenoi., Thottungal Joseph, M. S., Sivadas, A., & NarasimhaShenoi, P. G. (2023). “Anticenter of Profiles in Products of Graphs”. Indian Journal of Pure and
Applied Mathematics, 1-10.
○ Changat, Manoj, Lekshmi Kamal K. Sheela, and Prasanth G.Narasimha-Shenoi. “Axiomatic
characterizations of Ptolemaic and chordal graphs.” Opuscula Mathematica 43.3 (2023): 393-407.
1/5
○ M. Changat, Prasanth G.Narasimha-Shenoi and M. S. Thottungal Joseph, “Center and periphery of lexicographic product of digraphs”, Art Discrete Appl. Math. (2023), doi:10.26493/2590-
9770.1639.4c9
○ Anand, Bijo S., Mitre C. Dourado, Prasanth G. Narasimha-Shenoi, and Sabeer S. Ramla. ”On the
∆-interval and the ∆-convexity numbers of graphs and graph products.” Discrete Applied Mathematics
319 (2022): 487-498.
○ Prasanth G.Narasimha-Shenoi, Mary Shalet Thottungal Joseph, Center of Cartesian and strong
product of digraphs, J. Ramanujan Math. Soc. 36, No.4 (2021) 267–273
○ Changat, Manoj, Prasanth G. Narasimha-Shenoi, Mary Shalet Thottungal Joseph, and Bijo S. Anand.
Boundary-type sets of strong product of directed graphs. ARS MATHEMATICA CONTEMPORANEA
(2021).
○ Changat, Manoj, Nella Jeena Jacob, and Prasanth G. Narasimha-Shenoi. Axiomatic Characterization
of the Median Function of a Block Graph. Conference on Algorithms and Discrete Applied Mathematics.
Springer, Cham, 2021.
○ Changat, Manoj, Prasanth G. Narasimha-Shenoi, and Mary Shalet Thottungal Joseph. Lexicographic
Product of Digraphs and Related Boundary-Type Sets. Conference on Algorithms and Discrete Applied
Mathematics. Springer, Cham, 2021.
○ Changat, M., Prasanth G. Narasimha-Shenoi, Nezhad, F. H., Kovˇse, M., Mohandas, S., Ramachandran, A., & Stadler, P. F. (2021). Transit sets of two-point crossover. The Art of Discrete and Applied
Mathematics, 4(1), P1-09.
○ Anand, Bijo S., Prasanth G. Narasimha-Shenoi, and Sabeer Sain Ramla. ∆-Convexity Number
and ∆-Number of Graphs and Graph Products. Conference on Algorithms and Discrete Applied
Mathematics. Springer, Cham, 2020.
○ Anand, B. S., SV, U. C., Changat, M., Dourado, M. C., Nezhad, F. H., & Prasanth G.NarasimhaShenoi. (2020). On the Carath´eodory and exchange numbers of geodetic convexity in graphs.
Theoretical Computer Science, 804, 46-57.
○ Changat, M., Prasanth G.Narasimha-Shenoi, Nezhad, F. H., Kovˇse, M., Mohandas, S., Ramachandran, A., & Stadler, P. F. (2019). Transit sets of k-point crossover operators. AKCE International
Journal of Graphs and Combinatorics
○ Changat, Manoj, Prasanth G. Narasimha-Shenoi, Mary Shalet Thottungal Joseph, and Ram Kumar.
”Boundary Vertices of Cartesian Product of Directed Graphs.” International Journal of Applied and
Computational Mathematics 5, no. 1 (2019)
○ Balakrishnan, Sneha, Sreelakshmi K, and Suresh Kumar K. A, Prasanth G. Narasimha-Shenoi.
”Mathematical Interpretation of Aesthetic Value of Floral Structure and Mode of Pollination in Some
Angiosperm Plants, Life Sciences Leaflets 115 (2019): 01-11.
○ Manoj Changat, Prasanth G. Narasimha-Shenoi and Peter F. Stadler ” Axiomatic Characterization
of transit functions of weak hierarchies”, The Art of Discrete and Applied Mathematics Vol 2(1) 2018.
○ Changat, Manoj, Prasanth G. Narasimha-Shenoi, and Geetha Seethakuttyamma. ”Betweenness in
graphs: A short survey on shortest and induced path betweenness.” AKCE International Journal of
Graphs and Combinatorics (2018).
○ Changat, M., Mohandas, S., Mulder, H. M., Prasanth, G. Narasimha-Shenoi., Powers, R. C., &
Wildstrom, D. J. (2018). Axiomatic characterization of the center function. The case of non-universal
axioms. Discrete Applied Mathematics, 244, 56-69.
○ Changat, Manoj, Shilpa Mohandas, Prasanth G. Narasimha-Shenoi,Axiomatic Characterization of
Anticenter Function of Some Classes of Graphs, DOI: 10.17654/DM018020157, 2017.
○ Changat, Manoj, Shilpa Mohandas, Henry Martyn Mulder, Prasanth G. Narasimha-Shenoi, Robert
C. Powers, and D. Jacob Wildstrom. ”Axiomatic characterization of the center function. The case of
universal axioms”, Discrete Applied Mathematics (2017).
○ Changat, M., Balakrishnan, K., Kumar, R., Prasanth, G. Narasimha-Shenoi., Sreekumar, A. On the
Center Sets of Some Graph Classes. In Algorithms and Discrete Applied Mathematics (pp. 240-253),
(2016) Springer International Publishing.
○ Anand, Bijo S., Manoj Changat, and Prasanth G. Narasimha-Shenoi, Helly and exchange numbers of
geodesic and Steiner convexities in lexicographic product of graphs, Discrete Mathematics, Algorithms
and Applications 7 (04) (2015)
2/5
○ Kannan Balakrishnan, Manoj Changat, Anandavally K. Lakshmikuttyamma, Joseph Mathew, Henry
Martyn Mulder, Prasanth G. Narasimha-Shenoi, N. Narayanan, Axiomatic characterization of the
interval function of a block graph, Discrete Mathematics, 338(6), (2015)
○ Anand, Bijo S., Changat, Manoj, Peterin, Iztok, Prasanth G. Narasimha-Shenoi, Some Steiner
concepts on lexicographic products of graphs, Discrete Mathematics, Algorithms and Applications, 06,
(2014), 1450060-1 – 1450060-14
○ M. Changat, A. K. Lakshmikuttyamma, Joseph Mathews, Iztok Peterin, Prasanth. G. NarasimhaShenoi, Geetha Seethakuttyamma, Simon Spacapan, ˇ A forbidden subgraph characterization of some
graph classes using betweenness axioms, Disc. Math., 313,(2013), 951–958
○ M. Changat, A. K. Lakshmikuttyamma, Joseph Mathews, Iztok Peterin, Prasanth. G. NarasimhaShenoi, Aleksandra Tepeh,A note on 3-Steiner intervals and betweenness,Disc Math, 311, (2011),
2601–2609
○ Changat, Manoj; Prasanth G. Narasimha-Shenoi.; Pelayo, Ignacio M., The longest path transit
function of a graph and betweenness. Util. Math. 82 (2010), 111–127.
○ M. Changat, J. Mathews, Prasanth.G. Narasimha-Shenoi, I. Peterin,n-ary transit functions in
graphs, Discussiones Mathematicae Graph Theory 30, 4(2010), 671-685.
○ Boˇstjan Breˇsar, Manoj Changat, Joseph Mathews, Iztok Peterin, Prasanth G. Narasimha-Shenoi,
Aleksandra Tepeh Horvat; Steiner intervals, geodesic intervals, and betweenness; Disc. Math., Volume
309,(20):(2009) 6114–6125.
○ B.Breˇsar, M. Changat, S.Klavˇzar, J. Mathews, A. Mathews, Prasanth. G.Narasimha-Shenoi,
Characterizing posets for which their natural transit functions coincide,ARS MATHEMATICA CONTEMPORANEA 2 (2009) 27–33
○ Manoj Changat,G.N. Prasanth Joseph Mathews, Triangle path transit functions, betweenness and
pseudo-modular graphs, Disc. Math. 309 (2009), 1575-1583
○ Prasanth G. Narasimha-Shenoi,On a Metric related Transit Function and its Betweenness,In:
Convexity in Discrete Structures (M. Changat, S. Klavˇzar, H.M. Mulder, A. Vijayakumar, eds.),
Lecture Notes Ser. 5, Ramanujan Math. Soc. (2008), 83–90
○ K. Balakrishnan, M. Changat, S. Klavˇzar, J. Mathews, I. Peterin, Prasanth G.N. and S.
Sˇpacapan,Antimedian graphs, Australasian J. Combinatorics, 41(2008) 159- 170

List of Publications(Submitted)
○ Prasanth G. Narasimha-Shenoi, Mary Shalet Thottungal Joseph, Mithra R, and Prakash G.
Narasimha-Shenoi, “Boundary Vertices of Cartesian and Corona Product of Digraphs With Respect to
a Sum Metric”
○ Manoj Changat, Antony Mathews, Prasanth G. Narasimha-Shenoi, Jayasree Thomas, “Axiomatic
Characterization of the Center Function on Crown Graphs”

List of Articles(Under Preparation)
○ Manoj Changat, Antony Mathews, Prasanth G. Narasimha-Shenoi, Jayasree Thomas, “Axiomatic
Characterization of the Center Function on Barbell Graphs and (m, n) – Lollipops
○ Bijo S. Anand, Manoj Changat, Mitre C. Dourado, Prasanth G. Narasimha-Shenoi and Sabeer S.
Ramla. “On the ∆ – partition number of graphs and graph products”
○ Prasanth G. Narasimha-Shenoi et al. ,Carath´eodory Number and Exchange number in ∆-Convexity
○ Prasanth G. Narasimha-Shenoi et. al, “Boundary type vertices w.r.to Detour distance”
○ Manoj Changat, Mitre C. Dourado, Prasanth G. Narasimha-Shenoi, Ferdoos H. Nezhad. ”Axiomatic
Characterization of the interval function of unit interval graphs”
○ Manoj Changat, Prasanth G. Narasimha-Shenoi, Axiomatic Characterization of ∆ and I
∆ transit
function
○ Prasanth G. Narasimha-Shenoi, Axiomatic Characterization of Animedian on Block Graphs.

Conferences
○ Gave a talk on Axiomatic Chacaterization of Anticenter profiles in the International Conference on
Algebra and Discrete Mathematics, February 20 – 22, 2024, held at Kattappana, Idukki
3/5
○ ”Axiomatic Characterizations of Center function on Various Graphs” in the International Conference
on Algebra and Discrete Mathematics, March 4 – 6, 2014, held at Kattappana, Idukki
○ Structural and Betweenness Properties of k-point Crossover Operators in the Intenational Conference
on Algebra and Discrete Mathematics, March 4 – 6, 2014, held at Kattappana, Idukki
○ Presented a talk on ”Betweenness relations and transit functions” at Maxplank Institute, Germany in
2013.
○ Attended Indo-Slovenia Conference on Graph Theory and Applications on 2013 and presented a paper
on ”Convexity parameter on Lexicographic product of graphs”
○ Attended the International Congress of Mathematicians ( ICM 2010) at Hyderabad during August
19-27, 2010 and presented a paper titled “ Transit functions of higher arity

Research Projects
8 Co-Investigator of a DST – DAAD project “Bubbles and Directed Transit Functions Structures and
Algorithms”, Principal investogator from India is Dr. Manoj Changat of Department of Futures Studies
and Principal Investigator from Germany is Peter Stadler of University of Leipzig, Germany
7 Principal Investigator of a DST-SERB Project ”A study of convexity parameters, ℓp – functions, Steiner
sets and related problems on Graphs
6 Principal Investigator of a KSCSTE Student Project ”Applications of Mathematics in other areas”.
5 Principal Investigator of a DST-SERB Project ”A Study on axiomatic characterizations, convexity and
distance related problems on graphs and its products and, Graphs arising from Rings”.
4 Co-investigator of a National Board for Higher Mathematics,DAE, Govt. of India sponsored project.
Principal Investigator being Dr. Manoj Changat of Department of Futures Studies, University of Kerala,
India
3 Associated with India – Slovenia Joint research project on “Metric Graph Theory and Graph Products”
2 Principal Investigator of a minor research project, supported by University Grants Commission, Govt. of
India
1 Associated with India – Slovenia Joint research project on “Metric Graph Theory”

Teaching Experience
I have always been attracted to the profession of teaching, mainly because of the way some great
teachers influenced me in my educational career. I believe that, by being a teacher I can contribute to
or rather pay back the society in a fundamental way. My philosophy of teaching is rooted on a strong
teacher-student interaction. I believe that the process of inculcation is never complete without the
presence of exercises and examples which help the student to assimilate the idea properly.

Papers Taught
Masters Introduction to Group Characters
Masters Cryptography
Masters Python
Masters Linear Algebra
Masters Coding Theory
Masters Functional Analysis , 2nd Edn by B.V. Limaye along with Introduction to Functional analysis of E.
Kreyzig as a Reference.
Complex Analysis to 6th Semester B.Sc Mathematics students
Introduction to Algebra by Fraleigh 8th Edn, to undergraduates, Introduction to Calculus by Thomas
and Finney to undergraduates

University Related Activities
Chairman 1st Semester PG Camp 2024 – Palakkad Region of University of Calicut
Chairman 5th and 6th Semester UG Camp Mathematics since 2021 – Palakkad Region of University of Calicut

Professional Services
2010 Reviewer, AMS, Zentral blatt math

Languages
Konkani Mother Tongue
Malayalam Native
English Very Good
Hindi Good
Tamil Reasonable

Interests
recreation Karnatik music, Kathakali,
other shuttle badminton, yoga, trekking, reading