Abstract
The aim of this paper is to present an SDP-based algorithm for finding a sparse induced subgraph of order Θ ( n ) hidden in a semirandom graph of order n. As an application we obtain an algorithm that requires not more than O ( n ) random edges in order to k-color a semirandom k-colorable graph within polynomial expected time, thereby extending results of Feige and Kilian [J. Comput. System Sci. 63 (2001) 639–671] and of Subramanian [J. Algorithms 33 (1999) 112–123].
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