3 citations · 7 across the 10 of their papers we have counts for
11 papers
Zero-sum Inverse Realization and Property~(P) under Join Operations
G. Arunkumar, Anubhab Pahari, Puja Samanta
We introduce zero-sum inverse realization of property (P) of a graph , obtained by imposing an additional condition \( \mathbf{1}^{\top}A^{-1}\mathbf{1}=0, \) on a matrix $A\in…
A note on topological indices and the twin classes of graphs
P. Gangaeswari, K. Selvakumar, G. Arunkumar
Topological indices are parameters associated with graphs that have many applications in different areas such as mathematical chemistry. Among various topological indices, the Wien…
Induced subgraphs of zero-divisor graphs
G. Arunkumar, Peter J. Cameron, T. Kavaskar +1
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is the set of zero-divisors in the ring, with and adjacent if . We show t…
Super graphs on groups, I
G. Arunkumar, Peter J. Cameron, Rajat Kanti Nath +1
Let be a finite group. A number of graphs with the vertex set have been studied, including the power graph, enhanced power graph, and commuting graph. These graphs form a h…
A study on free roots of Borcherds-Kac-Moody Lie Superalgebras
Shushma Rani, G. Arunkumar
Let be a Borcherds-Kac-Moody Lie superalgebra (BKM superalgebra in short) with the associated graph . Any such is constructed from a free Lie superal…
A generalization of Fiedler's lemma and the spectra of H-join of graphs
M. Saravanan, S. P. Murugan, G. Arunkumar
A new generalization of Fiedler's lemma is obtained by introducing the concept of the main function of a matrix. As applications, the universal spectra of the H-join, the spectra o…