Chromatic Number (Graph Coloring)

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Revision as of 10:26, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Chromatic Number (Graph Coloring)}} == Description == In this case, we wish to compute the chromatic number of a graph; that is, the smallest number of colors needed to color the graph. == Related Problems == Related: k-Graph Coloring, 2-Graph Coloring, 3-Graph Coloring, 4-Graph Coloring, 5-Graph Coloring, #k-Graph Coloring, #2-Graph Coloring, #3-Graph Coloring, #4-Graph Coloring, #5-Graph Coloring == Parameter...")
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Description

In this case, we wish to compute the chromatic number of a graph; that is, the smallest number of colors needed to color the graph.

Related Problems

Related: k-Graph Coloring, 2-Graph Coloring, 3-Graph Coloring, 4-Graph Coloring, 5-Graph Coloring, #k-Graph Coloring, #2-Graph Coloring, #3-Graph Coloring, #4-Graph Coloring, #5-Graph Coloring

Parameters

n: number of vertices
m: number of edges

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Karger, Blum 1997 $O(poly(V))$ $\tilde{O}(n^{3/14})$ Deterministic Time

References/Citation

https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4031392