Graphs with least eigenvalue greater than or equal to -2 are to a big extent studied by Hoffman and other authors from the early beginning of the spectral graph theory. Most of these results are summarized in the monograph [Cvetković D, Rowlinson P, Simić S. Spectral generalizations of line graphs, on graphs with least eigenvalue (Formula presented.), Cambridge University Press, 2004], and the survey paper [Cvetković D, Rowlinson P, Simić S. Graphs with least eigenvalue (Formula presented.): ten years on, Linear Algebra Appl. 2015;484:504–539] which is aimed to cover the next 10 years since their monograph appeared. Here, we add some further results. Among others, we identify graphs whose least eigenvalue is greater than -2, but closest to -2 within the graphs of fixed order. Some consequences of these considerations are found in the context of the highest occupied molecular orbital–lowest unoccupied molecular orbital invariants. © 2015 Taylor & Francis
On graphs whose least eigenvalue is greater than –2 / Belardo, Francesco; Pisanski, Tomaž; Simić, Slobodan K.. - In: LINEAR & MULTILINEAR ALGEBRA. - ISSN 0308-1087. - 64:8(2016), pp. 1570-1582. [10.1080/03081087.2015.1107020]
On graphs whose least eigenvalue is greater than –2
BELARDO, Francesco;
2016
Abstract
Graphs with least eigenvalue greater than or equal to -2 are to a big extent studied by Hoffman and other authors from the early beginning of the spectral graph theory. Most of these results are summarized in the monograph [Cvetković D, Rowlinson P, Simić S. Spectral generalizations of line graphs, on graphs with least eigenvalue (Formula presented.), Cambridge University Press, 2004], and the survey paper [Cvetković D, Rowlinson P, Simić S. Graphs with least eigenvalue (Formula presented.): ten years on, Linear Algebra Appl. 2015;484:504–539] which is aimed to cover the next 10 years since their monograph appeared. Here, we add some further results. Among others, we identify graphs whose least eigenvalue is greater than -2, but closest to -2 within the graphs of fixed order. Some consequences of these considerations are found in the context of the highest occupied molecular orbital–lowest unoccupied molecular orbital invariants. © 2015 Taylor & FrancisFile | Dimensione | Formato | |
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