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This question already has an answer here:

I want to delete points created with Network Analyst with less than two lines connected. Is there any smart way to do that? Is it possible to count the number of lines the point is connected to?

The points marked with yellow must be deleted

marked as duplicate by Hornbydd arcgis-desktop Aug 15 '18 at 21:55

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • Do you understand that if your delete the points in yellow the lines they are located on will be collapsed into a two vertex straight segments? – Alex Tereshenkov Aug 15 '18 at 20:17
  • What you are describing Jonas is the Valency, there are many questions with answers on GIS SE that already cover this topic. – Hornbydd Aug 15 '18 at 21:56
  • @Alex It's two different shape-files. The points are generated based on the lines where all junctions are found. – Jonas Pedersen Aug 16 '18 at 7:00