| Authors: | Feng, Lihua Yu, Guihai Ilić, Aleksandar Stevanović, Dragan |
Title: | The signless Laplacian spectral radius of graphs on surfaces | Journal: | Linear and Multilinear Algebra | Volume: | 61 | Issue: | 5 | First page: | 573 | Last page: | 581 | Issue Date: | 1-May-2013 | Rank: | M22 | ISSN: | 0308-1087 | DOI: | 10.1080/03081087.2012.696249 | Abstract: | Let G be an n-vertex simple graph embeddable on a surface of Euler genus γ. We present the upper bounds for the signless Laplacian spectral radius of G in terms of n and γ, with further improvements when G is an outerplanar or Halin graph. |
Keywords: | Halin graph | outerplanar graph | planar graph | signless Laplacian matrix | spectral radius | Publisher: | Taylor & Francis | Project: | Natural Science Foundation of China (No. 11101245) Natural Science Foundation of Shandong (No. ZR2011AQ005, BS2010SF017) Slovenian Research Agency (No. P1-0285, J1-4021) Graph theory and mathematical programming with applications in chemistry and computer science |
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