Premium
Spectral Radius and Degree Sequence
Author(s) -
Hofmeister M.
Publication year - 1988
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19881390105
Subject(s) - mathematics , spectral radius , sequence (biology) , degree (music) , mean value , graph , combinatorics , spectral sequence , radius , mathematical analysis , pure mathematics , statistics , eigenvalues and eigenvectors , physics , quantum mechanics , genetics , cohomology , computer security , computer science , acoustics , biology
For a nonregular graph there is exactly one value of p such that the p ‐mean of its degree sequence is equal to the spectral radius. We try to investigate the structural content of this so‐called spectral mean characteristic; in particular, we characterize the connected graphs of spectral mean characteristic 2.