2 citations · 4 across the 8 of their papers we have counts for
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Multiplicity-One Structure in Graded Zero-Divisor Graphs
M. Aijaz, Shahnawaz A. Rather, S Pirzada
Let \(H\) be a multiplicative group, \(R\) a commutative \(H\)-graded ring, and \(M\) a nonzero finitely generated gr-semisimple \(H\)-graded \(R\)-module. We assume that \(M\) adm…
Binomial edge ideals of bipartite complements of even cycles
Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz
Let be the bipartite complement of the even cycle , and let be its binomial edge ideal. For , we study the interaction between the combinatorial str…
Homological invariants of Edge Ideals associated to powers of cycles
Shahnawaz Ahmad Rather, S. Pirzada, M. Aijaz
Let $G_{n,m}=\overline{\C_n^{[m]}}$, where $\C_n^{[m]}$ denotes the closed th power of the -cycle. We study the graded Betti numbers and homological invariants of the edge ri…
On distance integral and distance Laplacian integral graphs
S. Pirzada, Ummer Mushtaq, Leonardo de Lima
Let be a connected graph on vertices and let and be the distance and the distance Laplacian matrices associated with . A graph is said to be -in…
The spectral extrema of graphs of odd size forbidding beyond the book graph
Abdul Basit Wani, S. Pirzada, Amir Rehman
A graph is said to be -free if it does not contain a subgraph isomorphic to . The fish graph, denoted by , is a vertex graph obtained from a cycle of length …