|Source||ACM Digital Library|
|Publisher||Association for Computing Machinery (ACM)|
|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||Approximation algorithms ♦ Chromatic number ♦ Graph coloring|
|Abstract||The problem of coloring a graph with the minimum number of colorsis well known to be NP-hard, even restricted to<?Pub Fmt italic>k<?Pub Fmt /italic>-colorable graphs for constant<?Pub Fmt italic>k<?Pub Fmt /italic> ≥ 3. This paper explores theapproximation problem of coloring<?Pub Fmt italic>k<?Pub Fmt /italic>-colorable graphs with as fewadditional colors as possible in polynomial time, with special focus onthe case of <?Pub Fmt italic>k<?Pub Fmt /italic> = 3.The previous best upper bound on the number of colors needed forcoloring 3-colorable <?Pub Fmt italic>n<?Pub Fmt /italic>-vertex graphsin polynomial time was o<fen lp="par">n/logn<rp post="par"> 3 as well.|
|Age Range||18 to 22 years ♦ above 22 year|
|Education Level||UG and PG|
|Learning Resource Type||Article|
|Publisher Place||New York|
|Journal||Journal of the ACM (JACM)|
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