Crossing number

Crossing number: Crossing number may refer to:

Crossing number (knot theory) of a knot is the minimal number of crossings in any knot diagram for the knot.

The average crossing number is a variant of crossing number obtained from a three-dimensional embedding of a knot by averaging over all two-dimensional projections.

Crossing number (graph theory) of a graph is the minimal number of edge intersections in any planar representation of the graph.

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Crossing number (graph theory) — A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3. In graph theory, the crossing number cr(G) of a graph G is the… … Wikipedia
Crossing number (knot theory) — In the mathematical area of knot theory, the crossing number of a knot is the minimal number of crossings of any diagram of the knot. It is a knot invariant. By way of example, the unknot has crossing number zero, the trefoil knot three and the… … Wikipedia
crossing number — noun The minimum, taken over all planar representations of a link or graph, of the number of times it crosses itself … Wiktionary
Average crossing number — In the mathematical subject of knot theory, the average crossing number of a knot is the result of averaging over all directions the number of crossings in a knot diagram of the knot obtained by projection onto the plane orthogonal to the… … Wikipedia
Crossing the Chasm (book) — Crossing the Chasm Book Cover … Wikipedia
Crossing of the Andes — Part of the Spanish American wars of independence … Wikipedia
Crossing the River — First American edition cover … Wikipedia
Crossing Midnight — Publication information Publisher Vertigo … Wikipedia
Crossing of the Düna — Part of the Great Northern War Swedish Army crossing the Düna … Wikipedia
Crossing the Red Sea with The Adverts — Studio album by The Adverts … Wikipedia

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Crossing number

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