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Predavanje 9 - Odjel za matematiku

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22 Kromatski polinom<br />

Primjer 22.4<br />

Odredite kromatski polinom puta P 5, a <strong>za</strong>tim izračunajte<br />

ukupan broj različitih t-bojanja od P 5 <strong>za</strong> t = 2.<br />

Rješenje: Krenuti ćemo od P(P 5, t) = P(P 5 − e,t) − P(P 5 · e, t):<br />

= - = - - -<br />

= -<br />

- - - - -<br />

- =<br />

-3 +3 -<br />

=<br />

-<br />

-3 - +3 - - +<br />

P(G,t)=t^5-4t^4+6t^3-4t^2+t<br />

P(G,2)=2<br />

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