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Lata Kadam

Publications and source records attributed to Lata Kadam.

2 recordsLinked to original sources
arXiv2026

On the Transversal Coalition in r-Uniform Hypergraphs

A transversal coalition in a hypergraph $H$ is a partition of the vertex set $U$ into two subsets $U_1$ and $U_2$ such that neither $U_1$ nor $U_2$ alone intersects every hyperedge of $H$, but their union, $U_1 \cup U_2$, intersects every hyperedge in $H$. In this work, we investigate transversal coalition partitions in \( r \)-uniform hypergraphs. Specifically, we determine the transversal coalition number of complete \( r \)-uniform hypergraph, complete bipartite \( r \)-uniform hypergraph, \( r \)-uniform stars, and complete \( r \)-partite \( r \)-uniform hypergraph. We also investigate the transversal coalition number of \( r \)-uniform linear paths and cycles.

math.CO↗
arXiv2023

On spectrum of the zero-divisor graph of matrix ring

For a ring $R$, the zero-divisor graph is a simple graph $Γ(R)$ whose vertex set is the set of all non-zero zero-divisors in a ring $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$ or $yx=0$ in $R$. By using Weyl's inequality we give bounds on eigenvalues of adjacency matrix of $Γ(M_2(F))$, where $M_2(F)$ is a $2 \times 2$ matrix ring over a finite field $F$.

math.SP↗