Isospectral graphs - PowerPoint PPT Presentation

Groups, Graphs &amp; Isospectrality

Groups, Graphs &amp; Isospectrality. Rami Band Ori Parzanchevski Gilad Ben-Shach Uzy Smilansky. What is a graph ?. The graph’s spectrum is the sequence of basic frequencies at which the graph can vibrate. The spectrum depends on the shape of the graph.

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Resolving the isospectrality of the dihedral graphs Ram Band, Uzy Smilansky

k 13.  I =1.  I =2.  I =2.  I =1. k 16. k 8. Wave function. Metric count → 8. Vertex wave function. +. -. +. +. -. -. Discrete count → 3. a. 2c. 2b. G II. G I. N. D. b. b. N. D. 2a. a. a. 2b. c. c. 2c. N. D.

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Isospectral graphs - PowerPoint PPT Presentation

Groups, Graphs &amp;amp; Isospectrality

Resolving the isospectrality of the dihedral graphs Ram Band, Uzy Smilansky

Groups, Graphs & Isospectrality