Fractional revival between twin vertices
Hermie Monterde
TL;DR
This paper characterizes fractional revival between twin vertices in weighted graphs across different matrices and applies these results to apexes of double cones, advancing understanding of quantum state transfer.
Contribution
It provides a new characterization of fractional revival between twin vertices and applies it to specific graph structures like double cones.
Findings
Characterization of fractional revival between twin vertices.
Application to apexes of double cones.
Insights into quantum state transfer in weighted graphs.
Abstract
In this paper, we provide a characterization of fractional revival between twin vertices in a weighted graph with respect to its adjacency, Laplacian and signless Laplacian matrices. As an application, we characterize fractional revival between apexes of double cones.
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Taxonomy
TopicsGraph theory and applications · Spectral Theory in Mathematical Physics · Matrix Theory and Algorithms