The spectrum of Platonic graphs over finite fields

نویسندگان

  • Michelle R. DeDeo
  • Dominic Lanphier
  • Marvin Minei
چکیده

We give a decomposition theorem for Platonic graphs over finite fields and use this to determine the spectrum of these graphs. We also derive estimates for the isoperimetric numbers of the graphs. THE SPECTRUM OF PLATONIC GRAPHS OVER FINITE FIELDS MICHELLE DEDEO, DOMINIC LANPHIER, AND MARVIN MINEI Abstract. We give a decomposition theorem for Platonic graphs over finite fields and use this to determine the spectrum of these graphs. We also derive estimates for the isoperimetric numbers of the graphs. We give a decomposition theorem for Platonic graphs over finite fields and use this to determine the spectrum of these graphs. We also derive estimates for the isoperimetric numbers of the graphs.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 307  شماره 

صفحات  -

تاریخ انتشار 2007