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Sparse regular random graphs: Spectral density and eigenvectors

✍ Scribed by Dumitriu, Ioana; Pal, Soumik


Book ID
125838725
Publisher
Institute of Mathematical Statistics
Year
2012
Tongue
English
Weight
326 KB
Volume
40
Category
Article
ISSN
0091-1798

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## Abstract In this article we study Hamilton cycles in sparse pseudo‐random graphs. We prove that if the second largest absolute value Ξ» of an eigenvalue of a __d__‐regular graph __G__ on __n__ vertices satisfies and __n__ is large enough, then __G__ is Hamiltonian. We also show how our main resu