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20112026
most citedAlgebraic proofs of linear versions of the Conway--Gordon--Sachs theorem and the van Kampen--Flores theorem

3 citations · 11 across the 13 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.HO2014

Solvability of cubic and quartic equations using one radical

Danil Akhtyamov, Ilya Bogdanov

Theorem. An irreducible cubic polynomial with rational coefficients has a root in a one step radical extension of Q if and only if the discriminate is a square of a rational number…

math.CO2014★ 1 cited

Number of vertices in graphs with locally small chromatic number and large chromatic number

Ilya I. Bogdanov

We discuss the minimal number of vertices in a graph with a large chromatic number such that each ball of a fixed radius in it has a small chromatic number. It is shown that for ev…