Skand Parvatikar

collaborators

2 papers

math.CO2026

A superlinear lower bound for Radon Numbers

Skand Parvatikar

For a convexity space $X$ , let $r (X) = r_{2} (X)$ be its Radon number and let $r_{k} (X)$ be its $k$ -th Radon number. It is known (due to Pálvölgyi) that $r_{k} (X) = O_{r (X)} (k)$ . Pálvölgyi…

math.CO2026

Rainbow cycles in triangle-free graphs

Andrzej Czygrinow, Skand Parvatikar

Let $G = (V, E)$ be an edge-colored graph, and let $I^´^{c} (G) = min_{v \in V} {d^{c} (v)}$ where $d^{c} (v)$ is the number of colors on edges incident to a vertex $v$ . We show that f…