Laplacian and signless Laplacian spectral radii of graphs with fixed domination number
Rundan Xing, Bo Zhou
TL;DR
This paper investigates the maximum spectral radii of Laplacian and signless Laplacian matrices in graphs with a fixed number of vertices and domination number, identifying extremal graphs.
Contribution
It provides exact bounds and characterizations for extremal graphs with fixed domination number regarding their spectral radii.
Findings
Maximal Laplacian spectral radii determined
Maximal signless Laplacian spectral radii determined
Extremal graphs characterized
Abstract
In this paper, we determine the maximal Laplacian and signless Laplacian spectral radii for graphs with fixed number of vertices and domination number, and characterize the extremal graphs respectively.
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Taxonomy
TopicsGraph theory and applications · Synthesis and Properties of Aromatic Compounds · Metal-Organic Frameworks: Synthesis and Applications