5 papers
New bounds of extended energy of a graph
Abujafar Mandal, Sk. Md. Abu Nayeem
The extended adjacency matrix of a graph with vertices is a real symmetric matrix of order whose -th entry is the average of the ratio of the degree of the v…
On Kirchhoff index and number of spanning trees of linear pentagonal cylinder and Mobius chain graph
Md. Abdus Sahir, Sk. Md. Abu Nayeem
In this paper, we derive closed-form formulas for Kirchhoff index and Wiener index of linear pentagonal cylinder graph and linear pentagonal Mobius chain graph. We also obtain expl…
Ordering Unicyclic Graphs with Respect to F-index
Ruhul Amin, Sk. Md. Abu Nayeem
F-index of a graph is the sum of the cube of the degrees of the vertices. In this paper, we investigate the F-indices of unicyclic graphs by introducing some transformation, and ch…
On the F-index and F-coindex of the line graphs of the subdivision graphs
Ruhul Amin, Sk. Md. Abu Nayeem
The aim of this work is to investigate the F-index and F-coindex of the line graphs of the cycle graphs, star graphs, tadpole graphs, wheel graphs and ladder graphs using the subdi…
F-Index of Some Graph Operations
Nilanjan De, Sk. Md. Abu Nayeem, Anita Pal
The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. This was introduced in 1972, in the same paper where the first and second Zagreb indices w…