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- W4313593837 abstract "An odd [1,b]-factor of a graph G is a spanning subgraph F of G with dF(x)∈{1,3,⋯,b} for every x∈V(G), where b is a positive odd integer. Let |E(G)| be the size of G, and let ρ(G) be the spectral radius of G. In this article, we first verify three lower bounds for |E(G)| in a graph G of even order n to guarantee the existence of an odd [1,b]-factor in G. Then we prove two lower bounds for ρ(G) in a graph G of even order n to guarantee the existence of an odd [1,b]-factor in G. Furthermore, we create some extremal graphs to show all the lower bounds derived in this article are sharp." @default.
- W4313593837 created "2023-01-06" @default.
- W4313593837 creator A5053471355 @default.
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- W4313593837 date "2023-03-01" @default.
- W4313593837 modified "2023-10-06" @default.
- W4313593837 title "Two sufficient conditions for odd [1,b]-factors in graphs" @default.
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- W4313593837 doi "https://doi.org/10.1016/j.laa.2022.12.018" @default.
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