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Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)-odd factor if d F (v) ∈ {1, 3, ..., f (v)} for all v ∈ V (G), where d F (v) is the degree of v in F. For an odd integer k, if f (v) = k for all v, then a (1, f)-odd factor is called a [1, k]-odd factor. In… (More)

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