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20142022
most citedConnective eccentric index of some graph operations

3 citations · 7 across the 7 of their papers we have counts for

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math.CO2022

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…

math.CO2022

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…

math.CO2016

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…

math.CO2016

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…

math.CO2015★ 2 cited

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…

math.CO2014★ 3 cited

Connective eccentric index of some graph operations

Nilanjan De, Anita Pal, Sk. Md. Abu Nayeem

The connective eccentric index of a graph is a topological index involving degrees and eccentricities of vertices of the graph. In this paper, we have studied the connective eccent…

math.CO2014★ 2 cited

Bounds for the modified eccentric connectivity index

Nilanjan De, Sk. Md. Abu Nayeem, Anita Pal

The modified eccentric connectivity index of a graph is defined as the sum of the products of eccentricity with the total degree of neighboring vertices, over all vertices of the g…