| Authors: | Cvetković, Dragoš Rowlinson, Peter Simić, Slobodan |
Title: | Some characterizations of graphs by star complements | Journal: | Linear Algebra and Its Applications | Volume: | 301 | Issue: | 1-3 | First page: | 81 | Last page: | 97 | Issue Date: | 1-Nov-1999 | Rank: | M22 | ISSN: | 0024-3795 | DOI: | 10.1016/S0024-3795(99)00179-2 | 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. Various graphs related to (generalized) line graphs or their complements are characterized by star complements corresponding to eigenvalues -2 or 1. |
Keywords: | Eigenvalue | Graph | Star complement | Publisher: | Elsevier | Project: | EPSRC, Grant no. GR/L94901 |
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