Research
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Title : | Almost Intersecting Families |
Area of research : | Mathematical Sciences |
Focus area : | Families of Sets |
Principal Investigator : | Dr. Tapas Kumar Mishra, National Institute of Technology (NIT) Rourkela, Odisha |
Timeline Start Year : | 2024 |
Timeline End Year : | 2027 |
Contact info : | mishrat[at]nitrkl[dot]ac[dot]in |
Details
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Executive Summary : | The study aims to study the combinatorial properties of almost intersecting families, which are subsets of [n]. The work is divided into three sections: establishing the upper bound on the size of almost intersecting families, almost intersecting k-uniform families, and establishing stability results for almost intersecting k-uniform families. The authors conjecture that establishing an upper bound on the size of almost intersecting families is not straightforward. They also propose a tight upper bound for almost intersecting k-uniform families, such as F, which is a double star and achieves the conjecture. The study also plans to study the upper bound on the size of almost intersecting k-uniform families. |
Total Budget (INR): | 6,60,000 |
Organizations involved
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Implementing Agency : | National Institute of Technology (NIT) Rourkela, Odisha |
Funding Agency : | Anusandhan National Research Foundation/ Science and Engineering Research Board |
Source : | Science and Engineering Research Board (SERB), DST |