Drawing of K5 and K3,3

Task number: 4057

Find the drawings of the graphs \( K_5 \) and \( K_{3{,}3} \) on the projective plane and on the torus.

  • Solution

    Both graphs can be drawn in a plane with one intersection. This can be replaced by a cross-cap (left) or converted to a drawing on a torus (right).

    Nakreslení K5 a K3,3
Difficulty level: Easy task (using definitions and simple reasoning)
Reasoning task
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