Abisek Dewan

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math.CO2026

An Eventown Result for Multisets

Anirban Banerjee, Abisek Dewan

We study an extension of the Eventown problem of sets to multisets on $[n] = {1, 2, ..., n}$ . A multiset is called $m$ -bounded if each element has multiplicity at most $m$ . The inte…

math.CO2026

Even-Intersecting Families of Permutations

Anirban Banerjee, Abisek Dewan, Rajiv Mishra

A family of permutations in $S_{n}$ is called even-intersecting if every two distinct members agree in an even number of positions. Let $M (n)$ denote the maximum size of such a famil…

math.CO2026

On Ramsey goodness of $K_{2, n}$ versus cycles

Abisek Dewan, Sayan Gupta, Rajiv Mishra

A graph $G$ is called $H$ -good if $R (G, H) = (∣ G ∣ - 1) (χ (H) - 1) + σ (H)$ , where $σ (H)$ denotes the size of the smallest color class in a $χ (H)$ -coloring of $H$ . In Ramsey theory, it is an i…

math.CO2026

On Ramsey number of $K_{2, n}$ versus even cycles

Abisek Dewan, Sayan Gupta, Rajiv Mishra

For graphs $G$ and $H$ , the Ramsey number $R (G, H)$ is the smallest integer $N$ such that every graph $Γ$ on $N$ vertices contains $G$ or its complement $Γ$ contains $H$ as…

An Eventown Result for Multisets

Even-Intersecting Families of Permutations

On Ramsey goodness of K2,n​ versus cycles

On Ramsey number of K2,n​ versus even cycles

On Ramsey goodness of $K_{2, n}$ versus cycles

On Ramsey number of $K_{2, n}$ versus even cycles