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math.CO2026
Conditions for traceability under a bound on the size of even-distance sets
Rohun Easwar, Shaurya Johari
We make partial progress towards a proof of Conjecture 189 of Written on the Wall II by showing that a connected graph satisfying $\max\{\mathrm{dist_{even}}(v):v\in V(G)\}\le…
math.CO2026
An application of Jacobi's residue formula and proofs of some other conjectures on binomial coefficients
Rohun Easwar
We prove seven conjectures involving binomial coefficients. These conjectures appear in The On-Line Encyclopedia of Integer Sequences (OEIS). Among these is an application of Jacob…