Some generalized Nordhaus–Gaddum-type results on the spectral radius and (signless) Laplacian spectral radius
Xianglei Chen, Changxiang He
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Source: Crossref
Published: Oct 31, 2025
DOI: 10.1142/s1793830925501435
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Let [Formula: see text] be a simple graph, and [Formula: see text] be the spectral radius of [Formula: see text]. For [Formula: see text], a [Formula: see text]-edge (connected) decomposition [Formula: see text] is [Formula: see text] (connected) spanning subgraphs such that their edge sets form a [Formula: see text]-partition of the edge set of [Formula: see text]. Lu et al. obtained some sharp upper and lower bounds for [Formula: see text]. In this paper, we continue this research and provide several conclusions regarding this generalized Nordhaus–Gaddum-type results concerning the spectral radius and (signless) Laplacian spectral radius.
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