ΠΌΠ°ΡΡΡΡΡ
For the graph
The length of a walk is the number of edges in a walk.
Walks that start and end at different vertices are called open walks.
Walks that start and end at the same vertex are called closed walks.
Types
properties | ||
---|---|---|
repeats edges | walk (ΠΌΠ°ΡΡΡΡΡ) | closed walk (Π·Π°ΡΠ²ΠΎΡΠ΅Π½ ΠΌΠ°ΡΡΡΡΡ) |
repeated vertices | trail (Π²Π΅ΡΠΈΠ³Π°) | closed trail / curcuit (Π·Π°ΡΠ²ΠΎΡΠ΅Π½Π° Π²Π΅ΡΠΈΠ³Π°) |
no repeated edges / vertices | path (ΠΏΡΡ) | cycle (ΡΠΈΠΊΡΠ») |