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Math @ Duke
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Publications [#372527] of Fan Wei
Papers Published
- Král’, D; Noel, JA; Norin, S; Volec, J; Wei, F, Non-Bipartite K-Common Graphs,
Combinatorica, vol. 42 no. 1
(February, 2022),
pp. 87-114 [doi]
(last updated on 2026/01/17)
Abstract: A graph H is k-common if the number of monochromatic copies of H in a k-edge-coloring of Kn is asymptotically minimized by a random coloring. For every k, we construct a connected non-bipartite k-common graph. This resolves a problem raised by Jagger, Štovíček and Thomason [20]. We also show that a graph H is k-common for every k if and only if H is Sidorenko and that H is locally k-common for every k if and only if H is locally Sidorenko.
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