Raina Mary Thomas

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math.CO2026

Infinitely Many Almost-Uniform 3-Qualitative Independence Hypergraphs are Cores

Raina Mary Thomas, Yasmeen Akhtar

Qualitative independence is a property associated with the column vectors of well-known combinatorial designs known as covering arrays and qualitative independence hypergraphs char…

math.CO2026

On the Cores of Uniform and Almost-Uniform $3$ -Qualitative Independence Hypergraphs

Raina Mary Thomas, Yasmeen Akhtar

Qualitative independence hypergraphs provide a useful combinatorial framework for analyzing the existence and structure of covering arrays. In this work, we study the \emph{uniform…

math.CO2026

Strong Colouring of the Qualitative Independence Hypergraph $3 - Q I (11, 2)$

Raina Mary Thomas, Yasmeen Akhtar

We determine the strong independence number of the qualitative independence hypergraph, $3 - Q I (11, 2)$ , using a technique that involves considering its vertices as subsets of…

Infinitely Many Almost-Uniform 3-Qualitative Independence Hypergraphs are Cores

On the Cores of Uniform and Almost-Uniform 3-Qualitative Independence Hypergraphs

Strong Colouring of the Qualitative Independence Hypergraph 3-QI(11,2)

On the Cores of Uniform and Almost-Uniform $3$ -Qualitative Independence Hypergraphs

Strong Colouring of the Qualitative Independence Hypergraph $3 - Q I (11, 2)$