3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2020★ 3 cited
On distance matrices of wheel graphs with odd number of vertices
R. Balaji, R. B. Bapat, Shivani Goel
Let denote the wheel graph having -vertices. If and are any two vertices of , define \[d_{ij}:= \begin{cases} 0 & \mbox{if}~i=j \\ 1 & \mbox{if}~i~ \mbox{and}…
math.CO2016★ 1 cited
kirchhoff index and degree kirchhoff index of complete multipartite graph
Ravindra B. Bapat, Masoud Karimi, Jia-Bao Liu
The Kirchhoff index of a graph is defined as half of the sum of all effective resistance distances between any two vertices. Assuming a complete multipartite graph G, by methods fr…
math.CO2014
Monotonicity properties of certain Laplacian eigenvectors associated with trees
Ravindra B. Bapat
Nath and Paul (Linear Algebra Appl.,460(2014),97-110) have shown that the largest distance Laplacian eigenvalue of a path is simple and the corresponding eigenvector has properties…