Convex and quasiconvex functions on trees and their applications
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DOI: 10.1016/j.laa.2017.07.012
Abstract: Abstract We introduce convex and quasiconvex functions on trees and prove that for a tree the eccentricity, transmission and weight functions are strictly quasiconvex. It is shown that the Perron vector of the distance matrix… read more here.
Keywords: distance signless; distance; signless laplacian; quasiconvex functions ... See more keywords
Bounds for peripheral distance signless Laplacian eigenvalues of graphs
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DOI: 10.1142/s1793557120501132
Abstract: The eccentricity of a vertex [Formula: see text] in a graph [Formula: see text] is the maximum distance between [Formula: see text] and any other vertex of [Formula: see text] A vertex with maximum eccentricity… read more here.
Keywords: distance signless; see text; signless laplacian; formula see ... See more keywords