PESITM - PES Insititute of Technology & Management

Publications (National/ International)

Shanmukha, M. C., Rashad Ismail, K. J. Gowtham, A. Usha, Muhammad Azeem, and Esmail Hassan Abdullatif Al-Sabri. "Chemical applicability and computation of K-Banhatti indices for benzenoid hydrocarbons and triazine-based covalent organic frameworks." Scientific Reports 13, no. 1 (2023): 17743.
M. C. Shanmukha, K. J. Gowtham, A. Usha & K. Julietraja (2023) Expected values of Sombor indices and their entropy measures for graphene, Molecular Physics, DOI: 10.1080/00268976.2023.2276905
Usha, A., M. C. Shanmukha, B. M. Praveen, S. Yadu Krishnan, and K. C. Shilpa. "Variation of adriatic and wiener indices for different cycle lengths and paths." Discrete Mathematics, Algorithms and Applications 15, no. 05 (2023): 2250125.
Shanmukha, M. C., A. Usha, K. C. Shilpa, and Muhammad Kamran Siddiqui. "Structural investigation of carbon nanocone through topological coindices." International Journal of Quantum Chemistry (2023): e27109.
Shanmukha, M. C., A. Usha, N. S. Basavarajappa, and K. C. Shilpa. "Comparative study of multilayered graphene using numerical descriptors through M-polynomial." Physica Scripta 98, no. 7 (2023): 075205.
Usha, A., M. C. Shanmukha, K. C. Shilpa, and B. M. Praveen. "Comparative study of degree-based molecular descriptors of cyclodextrins through M-polynomial and NM-polynomial." Journal of the Indian Chemical Society 100, no. 6 (2023): 100999.
Shanmukha, M. C., Sokjoon Lee, A. Usha, K. C. Shilpa, and Muhammad Azeem. "Degree-based entropy descriptors of graphenylene using topological indices." Comput. Model. Eng. Sci 2023 (2023): 1-25.
Shanmukha, M.C. et al. ‘Structural Descriptors of Anthracene Using Topological Coindices through CoM-polynomial’. 1 Jan. 2023: 8425 – 8436.
Naresh Patel, K.M. et al. ‘Disease Categorization with Clinical Data Using Optimized Bat Algorithm and Fuzzy Value’. 1 Jan. 2023: 5467 – 5479.
Zhang, Xiujun, HG Govardhana Reddy, Arcot Usha, M. C. Shanmukha, Mohammad Reza Farahani, and Mehdi Alaeiyan. "A study on anti-malaria drugs using degree-based topological indices through QSPR analysis." Mathematical biosciences and engineering: MBE 20, no. 2 (2023): 3594-3609.
Narendra V.H.; Usha A.; Shanmukha M.C.; Mahalakshmi P.; Deepika T. "Computing molecular descriptors of chitosan derivatives and its M-polynomial expressions". Eurasian Chemical Communications, 5, 10, 2023, 953-968.
Shanmukha Mullemani Channappa, Shilpa Kalajji Channabasappa, Usha Arcot, and Anil Kumar Kempasidpla Nagarajappa, “Generalized Redefined Zagreb Index on Some Nanostructures”, Suranaree J. Sci. Technol. 30(1):030097(1-7).
Shanmukha, M. C., and A. Usha. "Comparative study of chitosan derivatives through CoM‐polynomial." International Journal of Quantum Chemistry 122, no. 21 (2022): e26976.
M. C. Shanmukha, K. N. Anil Kumar, N. S. Basavarajappa and A. Usha. "Neighborhood Topological Indices of Metal-Organic Networks." Jnanabha, Vol. 52(1) (2022), 174-181.
Shanmukha, M. C., A. Usha, N. S. Basavarajappa, and K. C. Shilpa. "M-polynomials and topological indices of styrene-butadiene rubber (SBR)." Polycyclic Aromatic Compounds 42, no. 5 (2022): 2723-2737.
Shanmukha, M. C., A. Usha, B. M. Praveen, and Abalo Douhadji. "Degree-based molecular descriptors and QSPR analysis of breast cancer drugs." Journal of Mathematics 2022 (2022): 1-13.
Shanmukha, M. C., A. Usha, M. K. Siddiqui, Samuel Asefa Fufa, and B. M. Praveen. "Degree-based molecular descriptors of guar gum and its chemical derivatives." Journal of Chemistry 2022 (2022): 1-14.
Shanmukha, M. C., A. Usha, K. C. Shilpa, and N. S. Basavarajappa. "M-polynomial and neighborhood M-polynomial methods for topological indices of porous graphene." The European Physical Journal Plus 136 (2021): 1-16.
Zhao, Weidong, M. C. Shanmukha, A. Usha, Mohammad Reza Farahani, and K. C. Shilpa. "Computing SS index of certain dendrimers." Journal of Mathematics 2021 (2021): 1-14.
Shanmukha, M. C., A. Usha, M. K. Siddiqui, K. C. Shilpa, and A. Asare-Tuah. "Novel degree-based topological descriptors of carbon nanotubes." Journal of Chemistry 2021 (2021): 1-15.
Usha, A., M. C. Shanmukha, K. N. Kumar, and K. C. Shilpa. "Comparison of novel index with geometric-arithmetic and sum-connectivity indices." J. Math. Comput. Sci. 11, no. 5 (2021): 5344-5360.
Shanmukha, M. C., N. S. Basavarajappa, A. Usha, and K. C. Shilpa. "Novel neighbourhood redefined first and second Zagreb indices on carborundum structures." Journal of Applied Mathematics and Computing 66 (2021): 263-276.
Shanmukha, M. C., N. S. Basavarajappa, KN Anil Kumar, and A. Usha. "Molecular structure investigation of anticancer drug by topological indices." Italian Journal of Pure and Applied Mathematics: 46 (2021): 970–983.
Kumar, KN Anil, M. C. Shanmukha, N. S. Basavarajappa, C. M. Veena, and K. C. Shilpa. "Cyclohexane based isomers discrimination using topological indices." Malaya Journal of Matematik (MJM) 9, no. 1, 2021 (2021): 524-532.
Shanmukha, M. C., A. Usha, N. S. Basavarajappa, and K. C. Shilpa. "Graph entropies of porous graphene using topological indices." Computational and Theoretical Chemistry 1197 (2021): 113142.
Khalaf, Abdul Jalil M. & M C, Shanmukha & Arcot, Usha & Shilpa, K & Cancan, Murat. (2021). Degree-based topological indices and polynomials of cellulose. Journal of Prime Research in Mathematics. 17. 70-83.
Shanmukha, M. C., A. Usha, N. S. Basavarajappa, and K. C. Savitha. "A general neighborhood redefined Zagreb index on Boron Nanotubes." Malaya Journal of Matematik 9, no. 01 (2021): 836-843.
KN, Anil Kumar, Basavarajappa NS, Shanmukha MC, and Shilpa KC. "Degree-based topological indices on asthma drugs with QSPR analysis during covid-19." European Journal of Molecular & Clinical Medicine 7, no. 10 (2020): 53-66.
Shanmukha, M. C., N. S. Basavarajappa, K. C. Shilpa, and A. Usha. "Degree-based topological indices on anticancer drugs with QSPR analysis." Heliyon 6, no. 6 (2020).
Kumar, KN Anil, N. S. Basavarajappa, and M. C. Shanmukha. "QSPR analysis of Alkanes with certain degree based topological indices." Malaya Journal of Mathematik 8, no. 1 (2020): 314-330.
Shanmukha, M. C., N. S. Basavarajappa, and K. N. Anilkumar. "Predicting physicochemical properties of octane isomers using QSPR approach." Malaya Journal of Mathematik 8, no. 1 (2020): 104-116.
Basavarajappa, N. S., M. C. Shanmukha, K. M. Niranjan, and K. C. Shilpa. "Dakshayani Indices on Carbon and Boron Nitride Nanotubes." (2020).
Kumar, KN Anil, N. S. Basavarajappa, M. C. Shanmukha, and A. Usha. "Reciprocal Atom-bond connectivity and Fourth Atom-bond connectivity indices for Polyphenylene structure of molecules, Eurasian Chem." Commun 2 (2020): 1202-1209.
Shanmukha, M. C., N. S. Basavarajappa, K. N. Anil Kumar, and K. C. Shilpa. "Generalized Reciprocal Sanskruti Index: Chemical Applicability and Bounds." (2020).
Shanmukha, M. C., N. S. Basavarajappa, KN Anil Kumar, and A. Usha. "Degree-Based Topological Indices of Dox-loaded Peg-Pasp Polymer." Jnanabha 50, no. 1 (2020): 89-101.
M. C. Shanmukha, K. N. Anil Kumar , N. S. Basavarajappa, and K. M. Niranjan, “TOPOLOGICAL INDICES ON PROPERTIES OF LINE GRAPH OF SUBDIVISION OF PLANE GRAPHS”, Advances in Mathematics: Scientific Journal 9 (2020), no.4, 2121–2135.

A Process and System for Index-Based Data Analysis for Correlating Physical Properties of Anti-Cancer Chemical Compound on a Client Computing Device.Authors: Shanmukha M C, Basavarajappa N S, Anil Kumar K N, Shilpa K C, Dr. Usha A, Yadu Krishnan S, Dr. Onkarappa K S, Dr. Bharthi K, Veena C M, Savitha K C, Dr. Niranjan K M

Title: Molecular Structure Investigation through Topological indices, LAP LAMBERT Academic Publishing, 23 Agust 2021, ISBN: ‎ 6204199862
Title: Comprehensive Study of Topological Indices on Various Types of Graphs, LAP LAMBERT Academic Publishing (23 Noviembre 2021), ISBN: ‎ 6204725637

Shanmukha, M. C., A. Usha, K. C. Shilpa, N. S. Basavarajappa, and Anil Kumar KN. "Degree-based Topological indices of Top Ranked Zinc Databased Inhibitors of SARS-CoV-2." 7th International Conference on Communications in Combinatorics, Cryptography & Computer Science 2022, Iran.
Shanmukha, M. C., and A. Usha. "Degree-Based Numerical Invariants of Grasmere Geometric Graph." 6th International Conference on Communications in Combinatorics, Cryptography & Computer Science 2021, Iran.

Attended TEQIP-111 Sponsored “ONE DAY WORKSHOP ON ROLE OF MATHEMATICS IN SOCIETY” on 15th March 2021, organized by Department of Mathematics, Coimbatore Institute of Technology Cimbatore-641014.
Attended TEQIP-111 Sponsored “TWO DAYS ONLINE FDP ON APPLICATIONS OF STATISTICS IN DATA ANALYSIS” organized by Department of Mathematics, Coimbatore Institute of Technology on 17th and 18th March 2021.
Participated & completed successfully AICTE Training and Learning (ATAL) Academy Online FDP on “Mathematics for Machine learning” from 2021-1-18 to 2021-1-22 at Sri Jayachamarajendra College of Engineering, JSS Science and Technology University.
Attended a 5-Day FDP on “Applications of Mathematics and Statistics in Engineering” (AMSE-2020), 23rd -27th Nov, 2020 organized by the Department of Mathematics, Malla Reddy Engineering College (Autonomous), Secunderabad.
Attended “Science Academies” Lecture workshop on Linear Transformations, Matrices and their Applications-2020 held in the S. V. U college of Science, S. V. University, Tirupati from 02-11-2020 to 07-11-2020.
Attended 5 days Faculty Development Program on “Applications of Mathematics in Engineering” conducted by KPRIET held from 27-07-2020 to 31-07-2020.
Attended STTP on “MATLAB and MATHEMATICA for Scientific Research” organized by Arul Anandar college Karumathur from 27-07-2020 to 29-072020.
Attended Five Days National Level Online Faculty Development Program on “CURRENT TRENDS AND RESEARCH OPPORTUNITIES IN INFORMATION TECHNOLOGY” Organized by the Department of Computer Science and Engineering, Tontadarya College of Engineering from 6th July to 10th July 2020.
Attended one-week Faculty development Program on “Recent Advances in Material Science and Mathematical Application” held during 15th June to 19th June 2020 organized by Department of Basic Science, Ghousia College of Engineering, Ramanagara-562159,
Attended 2 days National Conference on “Recent Developments of Mathematics in Industrial Applications” held during 11th to 12th April 2019 organized by Department of P.G. Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaragatta-577451, Shimoga, Karnataka.
Attended two days’ workshop on “Advanced Mathematical Techniques in Research and Engineering Application” held on 29th to30thJanuary 2018 organized by Department of Mathematics and Indian Society for Technical Education, IQAC-GMIT Davanagere.
Attended one day National Conference on “Recent Trends on the Applications of Science in Engineering (NCRSE-2018)” on28th September 2018 held at Bapuji Institute of Engineering and Technology, Davanagere.
Attended one day Seminar on “Science in Engineering (SSE-2017)” held on 15th December 2017 at Bapuji Institute of Engineering and Technology, Davanagere.
Attended 2 days International Conference on “Differential Geometry, Analysis and Fluid Mechanics (ICDGAFM-2016)” held during 4th to 5th February2016 organized by Department of P.G. Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaragatta-577451, Shimoga.
Attended one-week national level STTP on “A Pedagogy for Effective Use of Mathematics for Research in Science and Technology” sponsored by ISTE during 27th to 31st July 2015 at JNNCE, Shimoga.

Paper entitled “Degree-based Topological indices of Cadmium Sulfide”, in National Conference RAAS-2023, Organised by EPCET held on 28th July 2023.
Paper entitled “Degree-based Topological indices of Top Ranked Zinc Databased Inhibitors of SARS-CoV-2”, International Conference on Combinatorics, Cryptography, Computer Science and Computing organized by School of Mathematics, Iran University of Science & Technology, Tehran, Iran held from 16th to 17th November 2022.
Paper entitled “A Generalized Multiplicative Index of Some Chemical Structures” in National conference on RECENT FRONTIERS IN FRACTIONAL CALCULUS THEORY AND ITS APLLICATIONS (NCFCTA 2021), organized by department of Mathematics Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, Tamilnadu, 7th to 8th March, 2021.
Paper entitled “On the Dakshayani indices of Carbon and Boron Nitride Nanotubes” in International conference on Recent Trends in Mathematics and its Application to Graphs, Networks and Petri Nets (ICRTMA-GPN-2020), July 20-24, 2020) organized by School of Computational and Integrative Sciences, Jawaharlal Nehru University, New Delhi-110067, India, held during 20th and 24th July, 2020.
Paper entitled “On Topological Indices of Aminopterin” in International Conference on Present Scenario of Mathematical Sciences (ICPSMS-2020) organized by Department of Mathematics Karnatak University’s Karnatak Arts College, Dharwad, Karnataka, India held from 12th to 13th September 2020.
Paper entitled “Degree Based Numerical Invariants of Grasmere Geometric Graph” in International Conference on Combinatorics, Cryptography, Computer Science and Computing organized by School of Mathematics, Iran University of Science & Technology, Tehran, Iran held from 17th to 18th November 2021.
Paper entitled “Degree Based Topological Indices of Porous Graphene” in National Conference on Recent Advances in Mathematical Science and Technology (NCRAIMST-2021) organized by Department of Mathematics, JNNCE, Shivamogga, India held from 8th to 9th October 2021.
Paper entitled “Predicting Physico-chemical Properties of Octane Isomers using QSPR Approach” in International Conference on Innovations and Challenges in Science and Technology (ICICST-2019) organized by Don Bosco Institute of Technology, Bengaluru from 19th to 23rd December 2019.

Professional Membership

Life Member of Indian Society for Technical Education (LM126313).

Courses Taught

Calculus & Linear Algebra
Advanced Calculus & Numerical Methods
Transform Calculus
Fourier Series & Numerical Techniques
Engineering Mathematics

Faculty Details

Dr. Shanmukha M C

Associate Professor

Dr. Shanmukha M C

Associate Professor

Publications (National/ International)

Workshop/ Seminar/ FDP/ Symphosia

Professional Membership

Courses Taught