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Graphs with Magnetic Schrödinger Operators of Low Corank

✍ Scribed by Hein van der Holst

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
224 KB
Volume
84
Category
Article
ISSN
0095-8956

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✦ Synopsis

introduced the graph parameter n(G), which is defined as the maximal corank of any positive semidefinite magnetic Schrödinger operator fulfilling a certain transversality condition. He showed that for connected simple graphs, n(G) [ 1 if and only if G is a tree. In this paper we characterize for k=2, 3, the classes of graphs G with n(G) [ k.

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