Fire-farve Sætningen

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Fire-farve Sætningen JB Oversigt Historie Kort og Grafer Bevis ide Kempekæder Beviserne Afladning Forbedringer og generaliseringer Andre overflader Ringel-Youngs sætningen - 1968 Heawood formel 7-farve sætningen Referencer Ringel-Youngs sætningen - 1968 Lad G være indlejret p˚a en overflade, som ikke er en kugle, med Euler-karakteristik ɛ. χ(G) ≤ H(ɛ) = 7 + √ 49 − 24ɛ 2 Bortset fra Klein flasken kan K H(ɛ) indlejres. Ringel-Youngs (1968).
Fire-farve Sætningen JB Oversigt Historie Kort og Grafer Bevis ide Kempekæder Beviserne Afladning Forbedringer og generaliseringer Andre overflader Ringel-Youngs sætningen - 1968 Heawood formel 7-farve sætningen Referencer Heawood formel - 1890 Lad G være indlejret p˚a en overflade med Euler-karakteristik ɛ. S˚a er (’=’ for ’pæne indlejringer). V − E + F ≥ ɛ Hver region har mindst 3 kanter: E ≥ 3F /2, dvs. V − ɛ ≥ E − F ≥ E/3, dvs. E ≤ 3V − 3ɛ
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Fire-farve Sætningen

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