5 citations · 10 across the 15 of their papers we have counts for
4 papers · 2 filters
Normalized Laplacians for Gain Graphs
M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada
We propose the notion of normalized Laplacian matrix for a gain graphs and study its properties in detail, providing insights and counterexamples along the way. We…
On the -spectra of some join graphs
Mainak Basunia, Iswar Mahato, M. Rajesh Kannan
Let be a simple, connected graph and let be the adjacency matrix of . If is the diagonal matrix of the vertex degrees of , then for every real ,…
Bounds for the energy of a complex unit gain graph
Aniruddha Samanta, M. Rajesh Kannan
A -gain graph, , is a graph in which the function assigns a unit complex number to each orientation of an edge, and its inverse is assigned to the opposi…
On the construction of cospectral graphs for the adjacency and normalized Laplacian matrices
M. Rajesh Kannan, Shivaramakrishna Pragada
In [Steve Butler. A note about cospectral graphs for the adjacency and normalized Laplacian matrices. Linear Multilinear Algebra, 58(3-4):387-390, 2010.], Butler constructed a fami…