A Note on Degenerate and Spectrally Degenerate Graphs

نویسنده

  • Noga Alon
چکیده

A graph G is called spectrally d-degenerate if the largest eigenvalue of each subgraph of it with maximum degree D is at most √ dD. We prove that for every constant M there is a graph with minimum degree M which is spectrally 50-degenerate. This settles a problem of Dvořák and Mohar.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 72  شماره 

صفحات  -

تاریخ انتشار 2013