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A DATABASE OF STAR COMPLEMENTS OF GRAPHS

D. Cvetković, M. Lepović, P. Rowlinson and S. Simić
Publikacije Elektrotehničkog fakulteta. Serija Matematika
No. 9 (1998), pp. 103-112
Stable URL: http://www.jstor.org/stable/43666968
Page Count: 10
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A DATABASE OF STAR COMPLEMENTS OF GRAPHS
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Abstract

Let µ be an eigenvalue of the graph G with multiplicity k. A star complement for µ in G is an induced subgraph H = G — X such that | X | = k and µ is not an eigenvalue of G — X. The database contains about 1500 triples (G, H, µ) and is available as a supplement to the programming package "Graph". It was produced using (a) "Graph" itself, (b) programs developed independently by M. Lepović, and (c) data from other sources cited in the bibliography. This paper contains a description of the database and a commentary which explains how some interesting graphs can be obtained by extending appropriate star complements.

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