RESEARCH EXPERIENCE

My research interests are in the broad areas of combinatorics, graph theory, number theory and mathematics education.

Theses Supervision:

1. Christopher Amolo Onyango, MSc in Pure Mathematics, Maseno University, Graduated, 2024.

Thesis title:  Enumeration of plane and d-ary tree-like structures

2. Sylvester Arthur Abayo, MSc in Pure Mathematics, Maseno University, Graduated, 2024.

Thesis title:  Reachability in labelled complete m-ary trees

3. Albert Oloo Nyariaro, MSc in Pure Mathematics, Maseno University, Graduated 2021

Thesis title: Enumeration of trees by degree sequences and reachability of vertices

4. Donnie Munyao Kasyoki, PhD in Pure Mathematics, Maseno University, Graduated 2021

Thesis title: Regular prime graphs of selected classes of nonabelian finite groups

5. Fidel Ochieng Oduol, MSc in Pure Mathematics, Maseno University, Graduated 2021

Thesis title: On shifted Fibonacci numbers and their polynomials

PUBLICATIONS

1. I. O. Okoth and D. M. Kasyoki, Generalized plane trees, Bull. Inst. Combin. Appl., 2025.
2. A. O. Nyariaro, I. O. Okoth and F. O. Nyamwala, Generalized k-plane trees, J. Discrete Math. Appl., 2025.
3. F. O. Oduol, I. O. Okoth and F. O. Nyamwala, Generalization of a variant of k-plane trees, Math. Syst. Sci., 2025.
4. F. O. Oduol, I. O. Okoth and F. O. Nyamwala, On a variant of k-plane trees, J. Alg. Combin. Discret. Struc. & Appl., 2025.
5. K. O. Lumumba, I. O. Okoth and D. M. Kasyoki, Refined enumeration of 2-plane trees, Europ. J. Math. Appl., 2025.

Digital Footprints:

• GOOGLE SCHOLAR