@cgu-odisha.ac.in
Professor, Mathematics
C.V. Raman Global University, Odisha,India
Applied Mathematics, Applied Mathematics, Applied Mathematics, Applied Mathematics
Scopus Publications
Baisakhi Upadhyaya, Amaresh Chandra Panda
Computers and Electrical Engineering, 2026
Madhumita Behera, Amaresh Chandra Panda
Applied Soft Computing, 2026
Madhumita Behera, Amaresh Chandra Panda
Process Safety and Environmental Protection, 2026
Madhumita Behera, Amaresh Chandra Panda
International Journal of General Systems, 2026
Baisakhi Upadhyaya, Amaresh Chandra Panda, Swagat Sourav Mohanty, Ayushi Pati, Prasant Mohapatra
IEEE Internet of Things Journal, 2026
Madhumita Behera, Amaresh Chandra Panda
Journal of the Operational Research Society, 2025
Mhaid Mhdi Alhajjar, Amaresh Chandra Panda, Siva Prasad Behera
International Journal of Reasoning Based Intelligent Systems, 2025
Amarendra Malik, Subhashree Patel, Amaresh Chandra Panda
Indian Journal of Pure and Applied Mathematics, 2025
Iaeng International Journal of Applied Mathematics, 2024
Mhaid Alhajjar, Amaresh Chandra Panda, Siva Prasad Behera
Discrete Mathematics Algorithms and Applications, 2024
The crossing number of a graph [Formula: see text], denoted by [Formula: see text], is defined to be the minimum number of crossings that arise among all its drawings in the plane. This concept has been of interest to many researchers who have studied it for many families of graphs. In this paper, we introduce the crossing number of Cartesian product of sunlet graph [Formula: see text] with path [Formula: see text]. Further, we prove that the crossing number of [Formula: see text] is equal to [Formula: see text], along with giving a conjecture for the general case. In addition, we utilize the vertex’s rotation concept in order to prove some necessary conditions for the complete bipartite graph [Formula: see text] to be optimal when it is drawn in the plane, by presenting an upper bound for the crossing number of any subgraph in it together with determining the exact number of crossings in case the vertices of subgraph have the same rotation.
Amaresh Chandra Panda, Debdas Mishra, Rajani Ballav Dash
Journal of Discrete Mathematical Sciences and Cryptography, 2016
D. Mishra, A.C. Panda
International Journal of Pure and Applied Mathematics, 2014