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Spectral conditions for the existence of specified paths and cycles in graphs

Let $G$ be a graph with $n$ vertices and $λ_n(G)$ be the least eigenvalue of its adjacency matrix of $G$. In this paper, we give sharp bounds on the least eigenvalue of graphs without given pathes or cycles and determine the extremal graphs. This result gives spectral conditions for the existence of specified paths and cycles in graphs.

preprint2013arXivOpen access
Mingqing ZhaiHuiqiu LinShicai Gong
math.CO
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Mingqing ZhaiHuiqiu LinShicai Gong

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