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- W4283215723 abstract "Let Γ=(G,σ) be a signed graph. The rank of Γ is the rank of the adjacency matrix of Γ. If the underlying graph G of Γ has at least one cycle, then the girth of Γ, denoted by gr(Γ), is the length of the shortest cycle in G. Zhou et al. (2021) [35] have identified connected graphs G with rank equal to gr(G) (or gr(G)−2). In this paper, we extend their work to the setting of signed graphs." @default.
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- W4283215723 date "2022-10-01" @default.
- W4283215723 modified "2023-10-15" @default.
- W4283215723 title "On connected signed graphs with rank equal to girth" @default.
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- W4283215723 doi "https://doi.org/10.1016/j.laa.2022.06.019" @default.
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