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- W3082374268 abstract "A realization of a graph $G=(V,E)$ is a map $vcolon VtoBbb R^d$ that assigns to each vertex a point in $d$-dimensional Euclidean space. We study graph realizations from the perspective of representation theory (expressing certain symmetries), spectral graph theory (satisfying certain self-stress conditions) and rigidity theory (admitting deformations that do not alter the symmetry properties). We explore the connections between these perspectives, with a focus on realizations of highly symmetric graphs (arc-transitive/distance-transitive) and the question of how much symmetry is necessary to ensure that a realization is balanced, spectral, rigid etc. We include many examples to give a broad overview of the possibilities and restrictions of symmetric and spectral graph realizations." @default.
- W3082374268 created "2020-09-08" @default.
- W3082374268 creator A5030730692 @default.
- W3082374268 date "2020-09-03" @default.
- W3082374268 modified "2023-09-27" @default.
- W3082374268 title "Symmetric and Spectral Realizations of Highly Symmetric Graphs" @default.
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