Nodal domains on graphs - How to count them and why?

Details Nodal domains on graphs - How to count them and why? Nodal domains on graphs - How to count them and why?

2007-11-21

arxiv.org/abs/0711.3416v3

Analysis on Graphs and its applications Proc. Symp. Pure Math. (Providence, RI: American Mathematical Society) (2008) 5-28.

Physics

Mathematical Physics

Some corrections according to the referees report were made

Scientific paper

The purpose of the present manuscript is to collect known results and present
some new ones relating to nodal domains on graphs, with special emphasize on
nodal counts. Several methods for counting nodal domains will be presented, and
their relevance as a tool in spectral analysis will be discussed.

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