k-Graph Coloring (Graph Coloring)
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Description
Graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In this case, the number of colors we have is given as an input.
Related Problems
Subproblem: 2-Graph Coloring, 3-Graph Coloring, 4-Graph Coloring, 5-Graph Coloring, #k-Graph Coloring
Related: Chromatic Number, 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
k: number of colors given to color the graph
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.ezproxy.canberra.edu.au/stamp/stamp.jsp?arnumber=4031392