A path factor is a spanning subgraph _{≥}_{k}_{i}_{≥}_{k}_{≥}_{k}_{≥}_{k}_{≥}_{k}_{≥k}_{≥}_{2}, n_{≥}_{3}, n_{≥}_{2}, n_{≥}_{3}, n

#### Keywords

- graph
- toughness
- isolated toughness
- -factor
- (,)-factor critical avoidable graph

#### MSC 2010

- 05C70
- 05C38
- 90B10

_{≥}_{2}-factor and P_{≥}_{3}-factor uniform graphs

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