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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 705 ✬ Izrek. ∀k ∈ N Zgled uporabe: ✫ Erdösev izrek r(k, k) ≥ 2 k/2 . r(3, 3) ≥ 3 and r(4, 4) ≥ 4. Univerza v Ljubljani ▲ ❙ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ▲ ✩ ✪
A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 706 ✬ ✫ Marsovci napadejo Zemljo Morda nam uspe izračunati r(5, 5) ∈ [43, 49] (Exoo 1989, McKay and Radziszowski 1995), nikakor pa ne moremo izračunati r(6, 6) ∈ [102, 165] (Kalbfleisch 1965, Mackey 1994). Znana Ramseyeva ˇstevila: k\ℓ 3 4 5 6 7 8 9 10 3 6 9 14 18 23 28 36 ? 4 9 18 25 ? ? ? ? ? ? ? ? 6 18 ? ? ? ? ? ? ? Univerza v Ljubljani ▲ ❙ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ▲ ✩ ✪
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✬ ✫ Ljubljana, 6. oktober 2008
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A. Juriˇsić in V. Batagelj: Verje
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