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- W2052262390 abstract "Let G be a graph, and λ the smallest integer for which G has a nowherezero λ-flow, i.e., an integer λ for which G admits a nowhere-zero λ-flow, but it does not admit a (λ − 1)-flow. We denote the minimum flow number of G by Λ(G). In this paper we show that if G and H are two arbitrary graphs and G has no isolated vertex, then Λ(G ∨ H) ⩽ 3 except two cases: (i) One of the graphs G and H is K 2 and the other is 1-regular. (ii) H = K 1 and G is a graph with at least one isolated vertex or a component whose every block is an odd cycle. Among other results, we prove that for every two graphs G and H with at least 4 vertices, Λ(G ∨ H) ⩽ 3." @default.
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- W2052262390 date "2014-06-01" @default.
- W2052262390 modified "2023-10-11" @default.
- W2052262390 title "Join of two graphs admits a nowhere-zero 3-flow" @default.
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- W2052262390 doi "https://doi.org/10.1007/s10587-014-0110-0" @default.
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