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- W4384207910 abstract "The bipartite Turán number of a graph H, denoted by ex(m,n;H), is the maximum number of edges in any bipartite graph G=(X,Y;E) with |X|=m and |Y|=n which does not contain H as a subgraph. In this paper, we determine ex(m,n;Fℓ) for arbitrary ℓ and appropriately large n in comparison to m and ℓ, where Fℓ is a linear forest which consists of ℓ vertex disjoint paths. Moreover, the extremal graphs have been characterized. Furthermore, these results are used to obtain the maximum spectral radius of bipartite graphs which do not contain Fℓ as a subgraph and characterize all extremal graphs which attain the maximum spectral radius." @default.
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- W4384207910 date "2023-11-01" @default.
- W4384207910 modified "2023-10-14" @default.
- W4384207910 title "The bipartite Turán number and spectral extremum for linear forests" @default.
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- W4384207910 doi "https://doi.org/10.1016/j.laa.2023.07.010" @default.
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