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- W2000285611 abstract "Let G be a Kr+1-free graph with n vertices and m edges, and let λn(G) be the smallest eigenvalue of its adjacency matrix. We show thatλn(G)<-2r+1mrrn2r-1.This implies also that if G is a d-regular graph of order n and independence number r, the second eigenvalue of G satisfiesλ2(G)⩾-1+2r(n-1-d)rnr-1." @default.
- W2000285611 created "2016-06-24" @default.
- W2000285611 creator A5024338150 @default.
- W2000285611 date "2006-04-01" @default.
- W2000285611 modified "2023-10-17" @default.
- W2000285611 title "The smallest eigenvalue of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:math>-free graphs" @default.
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- W2000285611 doi "https://doi.org/10.1016/j.disc.2006.01.014" @default.
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