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- W3036700752 abstract "This paper mainly focuses on spectral conditions for the Hamiltonicity of balanced bipartite graphs and nearly balanced bipartite graphs. Let ρ(G) and q(G) be the spectral radius and signless Laplacian spectral radius of a graph G, respectively. One of our main results is the following theorem:Let G be a balanced bipartite graph of order 2n and of minimum degree δ(G)≥k≥s≥0. If n≥(k+1)(k−s+1) and ρ(G)≥ρ(Bn,nn−k,k−s), then G is 2s-hamiltonian unless G=Bn,nn−k,k−s.If n≥(k+1)(k−s+1) and q(G)≥q(Bn,nn−k,k−s), then G is 2s-hamiltonian unless G=Bn,nn−k,k−s.This theorem generalizes the results in [B. L. Li, B. Ning, Spectral analogues of Erdos' and Moon–Moser's theorems on Hamilton cycles, Linear and Multilinear Algebra, 64 (2016) 2252–2269]." @default.
- W3036700752 created "2020-06-25" @default.
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- W3036700752 date "2020-06-16" @default.
- W3036700752 modified "2023-10-15" @default.
- W3036700752 title "Some generalizations of spectral conditions for 2s-hamiltonicity and 2s-traceability of bipartite graphs" @default.
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- W3036700752 doi "https://doi.org/10.1080/03081087.2020.1778621" @default.
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