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Glite Dictionary
🕸️ No crossing edges 📏 Being flat
planarity

planarity

9.0
Being able to draw a network on a flat surface without lines crossing
  • noun
  • /pləˈnɛrɪti/
  • Specialized
translation icon : planaridad
  • In graph theory, the study of planarity is essential for determining whether a structure can be drawn without edge crossings.

Examples

  • Even without planar it's polynomial don't need planarity for that algorithm for testing for K fourness.

  • As the comparison demonstrates, the optimization of the actual variable trajectory has led to a shallower CVA, which also deviates from planarity, though only slightly.

    Academic text (2001)

  • And that's given us much greater levels of planarity, near perfect planarity at A at a very, very low cost.

  • The artist's drawing maintained planarity, ensuring that all lines were flat and did not overlap.

  • For the model to be accurate, it must exhibit planarity, allowing it to fit perfectly on the design surface.

Surface Forms

planarity singular
planarities plural

Morphology

planarity = planar (semi-transparent) = planar + ity

Morphologically clear as 'planar' + '-ity', but the graph-theory sense is a specialized technical usage that may not be obvious to general learners.

Etymology

Planarity comes from the Latin root planus, meaning 'flat', and the English word plane for a flat surface, with the ending -ity meaning 'state'. So planarity is the state of being flat, which helps you remember it means a graph can be drawn on a flat surface without its edges crossing.