1. Dr.Naveen P- Structural and Spectral Properties of addition Cayley graphs, 2018 ( Awarded)

2. Dr. Shanas Babu- Studies on Acyclic Coloring of Graphs and their Operations, 2020( Awarded)

3.Dr.Jahfar T K-On spectra and energies of certain graphs, 2022 (Awarded)

4.Dr.Jamsheena P- A Study On Structural and Spectral Properties of Essential ideal graphs of certain rings, 2024 (Awarded)

5.Dr.Najiya V K - Aα-spectra and Aα-energy of various operations ongraphs on, 2024 (Awarded)

6. Haritha T- On distance based matrices of graphs, 2025 (Awarded)

7. Liya Jess Kurian -  Spectra of hypergraphs (Ongoing)

8. Anjitha Ashokan-  Eccentricity spectra of graphs  (Ongoing)

9. Gopika Govind -   Zero-divisor  graphs  (Ongoing)

List of communicated articles

• Haritha T and Chithra AV On the resistance regular graphs, https://doi.org/10.48550/arXiv.2405.18177

• Anjitha Ashokan  and Chithra A V ,On irreducibility of eccentricity matrix of graphs and construction of $epsilon$−equienergetic graphs  https://doi.org/10.48550/arXiv.2405.16839

• Liya Jess Kurian and Chithra  A V, On the Construction of Singular and Cospectral Hypergraphs,  https://doi.org/10.48550/arXiv.2405.16839

• Anjitha Ashokan  and Chithra A V Eccentricity spectrum of join of central graphs and Eccentricity Wiener index of graphs, https://doi.org/10.48550/arXiv.2411.12599

• Liya Jess Kurian and Chithra  A V, The spectrum of the Corona of Hypergraphs,  https://doi.org/10.48550/arXiv.2403.02650

List of Published/Accepted papers(SCIE/WOS/SCOPUS)

• Liya Jess Kurian and Chithra  A V, Bounds for the Energy of Hypergraphs, Axioms, November 24

• Haritha T and Chithra AV, Resistance distance in k-coalescence of certain graphs,  TWMS J. App. and Eng. Math. V.15, No.6, 1503-1519,2025.

• Jamsheena P ,Chithra A V and Subarsha Banerjee, Adjacency spectrum and Wiener index of essential ideal graph of a finite commutative ring, Journal of Algebra Combinatorics Discrete Structures and Applications, January 2025.

• Shanas Babu P and Chithra. A V, A Note on acyclic coloring of strong product of graphs, Iranian Journal of Mathematical Sciences and Informatics, April 2024.

• Haritha T and Chithra AV, On the Distance Spectrum and Distance-Based Topological Indices of Central Vertex-Edge Join of Three Graphs, indices of central vertex-edge join of three graphs, Armenian Journal of Mathematics, 15:1–16, 2023. Available: https://doi.org/10.52737/18291163-2023.15.10-1-16.

•  Najiya V K and Chithra AV, On the Aα-spectra of some corona graphs,  Asian European Journal of Mathematics, 16(9)2023.

• .Najiya V K and Chithra AV, A Study on k-coalescence of two graphs, Le Matematiche,78(2) May 2023.

• Jahfar T K and Chithra A.V, Energy and Randic energy of special graphs, Proyecciones Journal of Mathematics, August 2022.

• Haritha T and Chithra A. V, On the distance spectra of central vertex join and central edge join of two regular graphs, Ricerche di Matematica, July 2022.

•  P.Naveen and  A.V.Chithra, Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs, Linear and Multilinear Algebra, 1-22,2021.

• T Haritha and AV Chithra, The distance Seidel matrix of connected graphs,AKCE International Journal of Graphs and Combinatorics,1-12,2025

• V. K. Najiya, A. V. Chithra, and N. Palanivel. A study on Aα-spectrum and Aα-energy of unitary addition Cayley graphs. Proyecciones (Antofagasta),Vol.44 No.3(2025). 

• Najiya.V.K and Chithra.A.V, Construction of non-regular Aα-cospectral graphs from some join of graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, 2025 (Accepted).

•  Jamsheena P and Chithra A V, Metric Dimension and Zagreb indices of Essential Ideal Graph of a finite Commutative Ring, Transactions on Combinatorics, 2025.

• A. B¨ottcher, A. V. Chithra and M. N. N. Namboodiri, Approximation of approximation numbers by truncation. Integr. equ. oper. theory 39 (2001), 387–395.

•  Jamsheena P and Chithra A V, On the structure and spectra of an induced subgraph of essential ideal graph of Zn, Asian-European Journal of Mathematics,2025(Accepted).

Anjitha Ashokan, Chithra.A.V, Eccentricity spectral properties of  C -graphs

• P Jamsheena, AV Chithra, Structural properties of the essential ideal graph of Z n, Math. stat. j, 2021.

•  Chithra A Velu Naveen Palanivel, Some properties of subgroup complementary addition Cayley graphs on abelian groups, Discrete Mathematics, Algorithms and Applications, 2022.

• Naveen Palanivel and Chithra. A.V, Energy and Laplacian Energy of Unitary Addition Cayley Graphs, Filomat, 2019.

•  T. K. Jahfar, A. V. Chithra, Orderenergetic, hypoenergetic and equienergetic graphs resulting from some graph operations,J. Math. Comput. Sci., 2021.

• T. K. Jahfar, A. V. Chithra, Central vertex join and central edge join of two graphs, AIMS Mathematics, 2020.

P Jamsheena, AV Chithra , On the domination of the essential ideal graph of a commutative ring,AIP Conference Proceedings, 2021