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math.CO2026
A proof of Seymour's second neighborhood conjecture for oriented graphs with minimum out-degree equal to 7
Arpan Sadhukhan, R. B. Sandeep, Sagnik Sen
We prove Seymour's second neighborhood conjecture on oriented graphs whose minimum out-degree is equal to . This gives, to our knowledge, the first improvement of the minimum ou…
math.CO2024
Large planar -cliques
Susobhan Bandopadhyay, Sagnik Sen, S Taruni
An \textit{-graph} is a graph having both arcs and edges, and its arcs (resp., edges) are labeled using one of the (resp., ) different symbols. An \textit{…
math.CO2023
On fundamental results for pushable homomorphisms of oriented graphs
Tapas Das, Pavan P D, Sagnik Sen +1
This article deals with homomorphisms of oriented graphs with respect to push equivalence. Here homomorphisms refer to arc preserving vertex mappings, and push equivalence refers t…