Title :
Hardness of Finding Independent Sets in Almost 3-Colorable Graphs
Author :
Dinur, Irit ; Khot, Subhash ; Perkins, Will ; Safra, Muli
Author_Institution :
Weizmann Inst., Rehovot, Israel
Abstract :
For every ∈ > 0, and integer q ≥ 3, we show that given an N-vertex graph that has an induced q-colorable subgraph of size (1 - ∈)N, it is NP-hard to find an independent set of size N/q2.
Keywords :
approximation theory; graph colouring; optimisation; set theory; NP-hardness; V-vertex graph; colorable graph; independent sets finding; Approximation methods; Color; Coordinate measuring machines; Games; Polynomials; Search problems; Weight measurement; PCPs; graph coloring; hardness of approximation;
Conference_Titel :
Foundations of Computer Science (FOCS), 2010 51st Annual IEEE Symposium on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-1-4244-8525-3
DOI :
10.1109/FOCS.2010.84