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On Small Folkman Graphs Arrowing $K_2$ or $K_3$

math.CO · 2026-05-15 · unverdicted · novelty 6.0

New bounds for Folkman numbers F_v(a1..ak;H) and F_e(a1..ak;H) with ai in {2,3}, k<=4, H in {K_n, J_n for n=4,5,6} plus C4 and W5, including an existence proof for F_e(3,3;W5) via semi-polycirculant graphs and other constructions.

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  • On Small Folkman Graphs Arrowing $K_2$ or $K_3$ math.CO · 2026-05-15 · unverdicted · none · ref 18

    New bounds for Folkman numbers F_v(a1..ak;H) and F_e(a1..ak;H) with ai in {2,3}, k<=4, H in {K_n, J_n for n=4,5,6} plus C4 and W5, including an existence proof for F_e(3,3;W5) via semi-polycirculant graphs and other constructions.