Author

Vikas Kolekar

Department of Computer Engineering Vishwakarma Institute of Technology, Pune, Maharashtra, 411037, India

Published papers: 3
Citations: 0
Views: 227
Downloads: 46

Publications

3 papers

Open Access Research Article·pp. 515–522·Vol. 29, Issue 2-AFeb 2026

Application of the Möbius function in algebraic structures for combinatorial number theory

Chetan Kumar Sharma, Bhupesh Chintamani, Vikas Kolekar, Simranjeet Nanda, P. N. Sundari, Aman Mittal

Published Online: 31 Dec 2025DOI: 10.47974/JDMSC-2491

In this paper: The Möbius function is an important arithmetic function in number theory. It’s also very important to the examiner of algebraic patterns and combinatorial mathematics. Further to conventional range pr...

Abstract References Full Text PDF (307 KB)Views: 78Downloads: 18Citations: 0

Open Access Research Article·pp. 523–532·Vol. 29, Issue 2-AFeb 2026

Exploring n-Queens problem solutions through advanced combinatorial and discrete mathematical techniques

Natasha Martin, Vimal Bibhu, Vikas Kolekar, E. R. Aruna, P. Veeresh Kumar, Vaibhav Mittal

Published Online: 31 Dec 2025DOI: 10.47974/JDMSC-2492

In this paper: The n-Queens problem involves positioning n chess queens on an n×n board without any of them threatening one other. Typical combinatorial issue in computer math. This topic has been studied in graph t...

Abstract References Full Text PDF (520 KB)Views: 75Downloads: 19Citations: 0

Open Access Research Article·pp. 307–315·Vol. 29, Issue 1Jan 2026

Utilizing line graph construction in combinatorial analysis for network optimization

Ashutosh Panchbhai, Tanya Singh, Vikas Kolekar, Kalyan Devappa Bamane, N. Jaya Bhagyam, Sorabh Lakhanpal

Published Online: 31 Dec 2025DOI: 10.47974/JDMSC-2488

In this paper: This study examines how combinatorial analysis may address network optimization challenges via line graph creation. Line graphs, which can transform graphs, underpin graph theory. Points in a line gra...

Abstract References Full Text PDF (458 KB)Views: 74Downloads: 9Citations: 0