Combinatorica

, Volume 20, Issue 1, pp 147–152 | Cite as

NOTE Spectral Characterization of Tree-Width-Two Graphs

  • Andrei Kotlov
Note

) of a graph G, similar in spirit to his now-classical invariant \(\). He showed that \(\) is minor-monotone and is related to the tree-width la(G) of G: \(\) and, moreover, \(\), i.e. G is a forest. We show that \(\) and give the corresponding forbidden-minor and ear-decomposition characterizations.

AMS Subject Classification (1991) Classes:  05 

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Copyright information

© János Bolyai Mathematical Society, 2000

Authors and Affiliations

  • Andrei Kotlov
    • 1
  1. 1.Dept. of Combinatorics and Optimization, University of Waterloo; Waterloo, Ontario, Canada, N2L 3G1 and CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands; E-mail: andrei@cwi.nlCA

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