Remoteness and distance, distance (signless) Laplacian eigenvalues of a graph
Copyright policy )Remoteness and distance, distance (signless) Laplacian eigenvalues of a graph
Let G be a connected graph of order n. The remoteness of G, denoted by ρ, is the maximum average distance from a vertex to all other vertices. Let [Formula: see text], [Formula: see text] and [Formula: see text] be the distance, distance Laplacian and distance signless Laplacian eigenvalues of G, respectively. In this paper, we give lower bounds on [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] and the corresponding extremal graphs are also characterized.
- Renmin University of China China (People's Republic of)
- Beijing International Studies University China (People's Republic of)
Extremal problems in graph theory, Connectivity, Eigenvalues, singular values, and eigenvectors, Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), Research, Remoteness, Distance eigenvalues, Graph polynomials, QA1-939, distance eigenvalues, distance (signless) Laplacian eigenvalues, Distance (signless) Laplacian eigenvalues, Mathematics, remoteness
Extremal problems in graph theory, Connectivity, Eigenvalues, singular values, and eigenvectors, Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), Research, Remoteness, Distance eigenvalues, Graph polynomials, QA1-939, distance eigenvalues, distance (signless) Laplacian eigenvalues, Distance (signless) Laplacian eigenvalues, Mathematics, remoteness
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