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Öğe BOUNDS FOR LAPLACIAN GRAPH EIGENVALUES(ELEMENT, 2012) Maden, A. Dilek; Buyukkose, SerifeLet G be a connected simple graph whose Laplacian eigenvalues are 0 = mu(n) (G) <= mu(n-1) (G) <= ... <= mu(1) (G). In this paper, we establish some upper and lower bounds for the algebraic connectivity and the largest Laplacian eigenvalue of G.Öğe On the Maximum Clique and the Maximum Independence Numbers of a Graph(AMER INST PHYSICS, 2011) Maden, A. Dilek; Buyukkose, SerifeIn this paper we obtain some bounds for the clique number omega and the independence number alpha, in terms of the eigenvalues of the normalized Laplacian matrix of a graph G.