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20152026
most citedRamsey goodness of books revisited

9 citations · 29 across the 37 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.CO2021

Three early problems on size Ramsey numbers

David Conlon, Jacob Fox, Yuval Wigderson

The size Ramsey number of a graph is defined as the minimum number of edges in a graph such that there is a monochromatic copy of in every two-coloring of . The s…

math.CO2021

Off-diagonal book Ramsey numbers

David Conlon, Jacob Fox, Yuval Wigderson

The book graph consists of copies of joined along a common . In the prequel to this paper, we studied the diagonal Ramsey number $r(B_n^{(k)}, B_n^{(…

math.CO2021★ 9 cited

Ramsey goodness of books revisited

Jacob Fox, Xiaoyu He, Yuval Wigderson

The Ramsey number is the minimum such that every graph on vertices contains as a subgraph or its complement contains as a subgraph. For integers $n \geq k…

math.CO2021

Paley-like graphs for the Ramsey number

Yuval Wigderson

An earlier version of this paper constructed a family of -vertex -free graphs which we conjectured to have independence number . This conjecture is false…

math.CO2021

Minimum degree and the graph removal lemma

Jacob Fox, Yuval Wigderson

The clique removal lemma says that for every and , there exists some so that every -vertex graph with fewer than copies of can b…

math.CO2021★ 1 cited

Ramsey numbers of sparse digraphs

Jacob Fox, Xiaoyu He, Yuval Wigderson

Burr and Erdős in 1975 conjectured, and Chvátal, Rödl, Szemerédi and Trotter later proved, that the Ramsey number of any bounded degree graph is linear in the number of vertices. I…