5 papers
Gain distance matrices for complex unit gain graphs
Aniruddha Samanta, M. Rajesh Kannan
A complex unit gain graph (-gain graph), is a graph where the function assigns a unit complex number to each orientation of an edge of , and it…
On the multiplicity of -eigenvalues and the rank of complex unit gain graphs
Aniruddha Samanta, M. Rajesh Kannan
Let be a connected complex unit gain graph (-gain graph) on a simple graph with vertices and maximum vertex degree . The associated adjac…
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 Weaving Generalized Frames and Generalized Riesz Bases
Deepshikha, Aniruddha Samanta
Weaving frames have potential applications in wireless sensor networks that require distributed processing of signal under different frames. In this paper, we study some new proper…
On the adjacency matrix of a complex unit gain graph
Ranjit Mehatari, M. Rajesh Kannan, Aniruddha Samanta
A complex unit gain graph is a simple graph in which each orientation of an edge is given a complex number with modulus 1 and its inverse is assigned to the opposite orientation of…