منابع مشابه
The Least Eigenvalue of Graphs
In this paper we investigate the least eigenvalue of a graph whose complement is connected, and present a lower bound for the least eigenvalue of such graph. We also characterize the unique graph whose least eigenvalue attains the second minimum among all graphs of fixed order.
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A new proof concerning the determinant of the adjacency matrix of the line graph of a tree is presented and an invariant for line graphs, introduced by Cvetković and Lepović, with least eigenvalue at least −2 is revisited and given a new equivalent definition [D. Cvetković and M. Lepović. Cospectral graphs with least eigenvalue at least −2. Publ. Inst. Math., Nouv. Sér., 78(92):51–63, 2005.]. E...
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We prove that for (Baire) almost every C’° periodic function V d2/dx2 + V has all its instability intervals non-empty. In the spectral theory of one dimensional Schrodinger operators [3] [10] with periodic potentials, a natural question occurs involving the presence of gaps in the spectrum. Let H = d2 2 + V on L2(R, d x) where V(x + 1) = V(x) for all x. Let AP (resp. AA) be the operator 2014201...
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cement is an essential ingredient in the concrete buildings. for production of cement considerable amount of fossil fuel and electrical energy is consumed. on the other hand for generating one tone of portland cement, nearly one ton of carbon dioxide is released. it shows that 7 percent of the total released carbon dioxide in the world relates to the cement industry. considering ecological issu...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1951
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/44706