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Dr. Kukil Kalpa Rajkhowa

Dr. Kukil Kalpa Rajkhowa

Assistant Professor

Ph.D. : Gauhati University

Research Interests:

Graph theory, Algebra, Fuzzy set.
Date of Joining : Feb 12, 2015

Phone: +91-9864500736
Email: kukil.rajkhowa@cottonuniversity.ac.in

Vidwan Profile
About Teaching Research Paper Publications Book publication relating subject/research concerned Research Scholars Other Informations

About

Career Profile/Services:

  1.  Assistant Professor, GIMT, Guwahati-781017 (02/01/2008-10/02/2015)
  2.  Assistant Professor, CCSU, Guwahati-781001 (12/02/2015-31/05/2017)
  3.  Assistant Professor, Cotton University, Guwahati-781001 (01/06/2017 onwards)

Teaching

  1. BA/BSc 3rd Semester, Analysis-2 (MTH301C)
  2. MA/MSc 1st Semester, Analysis (MTH701C)
  3. MA/MSc 2nd Semester, Complex Function Theory (MTH804C)
  4. MA/MSc 3rd Semester, Ring Theory (MTH904SP1)
  5. MA/MSc 4th Semester, Combinatories (MTH1003OP2)

Research paper publications

2026

1. Pallabi Bora, Kukil Kalpa Rajkhowa, Bikash Barman, and Nepur Ranjan Hazarika, Chromatic number, Sombor index and Wiener index of maximal graph of Z n, Discrete Mathematics, Algorithms and Applications, 2026 https://doi.org/10.1142/S1793830926500102

2025

1. Nabajit Talukdar; Kukil Kalpa Rajkhowa, p-groups with a small number of character degrees and their normal subgroups Pages 171-180, International Journal of Group Theory, vol. 14, 171-180, 3, 2025 https://doi.org/10.22108/ijgt.2024.141029.1897

2. Bikash Barman, Kukil Kalpa Rajkhowa, , , , , A graph associated with minimal ideals of a ring, Journal of algebra and related topics, vol. 12, 157-165, 2, 2345-3931 (Print) and 2382-9877 (Online). , 2025 https://doi.org/10.22124/jart.2024.23365.1467

3. Bikash Barman, Kukil Kalpa Rajkhowa, Non co-maximal graph of subgroups of an abelian group, ANNALI DELL'UNIVERSITA' DI FERRARA, vol. 71, 49, (2025), 2025 https://link.springer.com/article/10.1007/s11565-0

4. Pallabi Bora , Kukil Kalpa Rajkhowa, On signless and normalized Laplacian spectra of a subgraph of the total graph of Z_n, Utilitas Mathematica , vol. 124, 129-144, 2025 https://doi.org/10.61091/um124-08

5. Diksha Patwari, Kukil Kalpa Rajkhowa, Helen K Saikia, Non-Superfluous Intersection Graph of Ideals of a Ring, Boletim da Sociedade Paranaense de Matemática, vol. 43, 2025

6. Kukil Kalpa Rajkhowa, Nepur Ranjan Hazarika, and Bikash Barman, Complement of prime ideals intersection graph of a ring, Discrete Mathematics, Algorithms and Applications, 2025 https://doi.org/10.1142/S1793830925501678

2024

1. Bikash Barman, Kukil Kalpa Rajkhowa, On definition of group homomorphism graph, Discrete Mathematics, Algorithms and Applications, 2024 https://doi.org/10.1142/S1793830923501008

2. Bikash Barman, Kukil Kalpa Rajkhowa, On Intersection Minimal Ideal Graph of a Ring, Algebraic Structures and Their Applications, 2024 10.22034/AS.2024.18749.1566

3. Pallabi Bora, Kukil Kalpa Rajkhowa, Laplacian and Wiener index of extension of zero divisor graph, Discrete Applied Mathematics, vol. 356, 229-237, 2024 https://doi.org/10.1016/j.dam.2024.05.025

4. M. M. Roy, M. Budhraja, And K. K. Rajkhowa, Comaximal Intersection Graph of Ideals Of Rings, Journal of Algebra and Related Topics, vol. 12, 147-157, 1, 2024 DOI-10.22124/JART.2023.23524.1481

5. Nepur Ranjan Hazarika, Bikash Barman, Kukil Kalpa Rajkhowa, and Pallabi Bora, Intersection non-simple graph of an abelian group, Discrete Mathematics, Algorithms and Applications, ISSN (print): 1793-8309, 2024 https://doi.org/10.1142/S1793830924500939

2023

1. Bikash Barman, Kukil Kalpa Rajkhowa, On Non-Comaximal Graphs of Ideals of Commutative Rings, Armenian Journal of Mathematics, vol. 15, 02, ISSN: 1829-1163, 2023 https://doi.org/10.52737/18291163-2023.15.2-1-8

2. Kukil Kalpa Rajkhowa, Helen K. Saikia, Pendant and Isolated Vertices of Comaximal Graphs of Modules, Bol. Soc. Paran. Mat., vol. 41, 2023 http://dx.doi.org/10.5269/bspm.51488

2022

1. Bikash Barman, Kukil Kalpa Rajkhowa, Nonessential sum graph of an Artinian ring, Arab Journal of Mathematical Sciences, vol. 28, 01, 2022 https://www.emerald.com/insight/content/doi/10.110

Research paper publications till 2021

​​​

  1. Kukil Kalpa Rajkhowa, Helen K. Saikia, Prime intersection graph of ideals of a ring, Proceedings-Mathematical Sciences Vol. 130, No. 17, 2020.
  2. B Barman, Kukil Kalpa Rajkhowa, Non-comaximal graph of ideals of a ring, Proceedings-Mathematical Sciences Vol. 129, No. 5, 76, 2019.
  3. Kukil Kalpa Rajkhowa, Helen K. Saikia, Center of intersection graph of submodules of a module, AKCE International Journal of Graphs and Combinatorics, Vol. 16, No. 2, pp. 198-203, 2019
  4. Kukil Kalpa Rajkhowa, Helen K. Saikia, On total directed graphs of non-commutative rings, AKCE International Journal of Graphs and Combinatorics, Vol. 14, No. 3, pp. 261-268, 2017.
  5. Jituparna Goswami, Kukil Kalpa Rajkhowa, Helen K. Saikia, Total graph of a module with respect to singular submodule, Arab Journal of Mathematical Sciences, Vol. 22, No. 2, pp. 242-249, 2016.
  6. Kukil Kalpa Rajkhowa, Helen K. Saikia, Center of intersection graph of fuzzy submodules of modules, Fuzzy Information and Engineering, Vol. 7, No. 1, pp. 49-59, 2015.
  7. Kukil Kalpa Rajkhowa, Helen K. Saikia, Zero Divisor Graph of Non Commutative Ring, Advances and Applications in Discrete Mathematics, Vol. 10, No. 1, pp. 49-64, 2012.
  8. Kukil Kalpa Rajkhowa, Helen K. Saikia, On (∈, ∈∨ ?)-Fuzzy Essential Ideals of Rings, International Journal of Pure and Applied Mathematics Vol. 76, No. 5, pp. 633-645, 2012.
  9. Kukil Kalpa Rajkhowa, Helen K. Saikia, On Decomposition of Fuzzy Prime Submodules, Far East Journal of Mathematical Sciences, Vol. 62, No.2, pp. 177-188, 2012.
  10. Kukil Kalpa Rajkhowa, Helen K. Saikia, On Fuzzy Socle of Module, Journal of Pure Mathematics, Vol. 25, pp. 51-56, 2008.
  11. Ujwal Medhi, Kukil Kalpa Rajkhowa, Lila K. Barthakur, Helen K. Saikia, On Fuzzy Essential Ideals of Rings, Advances in Fuzzy Sets and Systems,Vol. 3, No.3, pp. 287-299, 2008.

Book publication relating subject/research concerned

  1.  A Text Book of Engineering Mathematics II, U N Misra, Banajit Sarmah, Anuradha Devi, Rohini Kumer Sarma, Kukil Kalpa Rajkhowa, PUB MANIMANIK PRAKASH, Guwahati, 2015

Research Scholars

Sl. No Name Research Topic Roll No
1 Bikash Barman Graphs associated with algebraic structures
2 Nabajit Talukdar Character theory
3 Pallabi Bora Algebraic graph and matrix
4 Nepur Ranjan Hazarika Graphs associated with algebraic structures MTH2291003
5 Animesh Talukdar Graph associated with the algebraic structure group

Other Information

Awards and Distinctions:

  1. 4th Dr. Amala Bezboruah Memorial Award-2005

Invited Lecture:

  1. Rashtriya Madhyamik Siksha Abhijan, Assam, 10/01/2018, Topic- Sequence and Series

Association with Professional Bodies:

  1. Assam Academy of Mathematics