K-Graph Coloring: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
Line 12: Line 12:
== Parameters ==  
== Parameters ==  


n: number of vertices
$n$: number of vertices


m: number of edges
$m$: number of edges


k: number of colors given to color the graph
$k$: number of colors given to color the graph


== Table of Algorithms ==  
== Table of Algorithms ==  


{| class="wikitable sortable"  style="text-align:center;" width="100%"
Currently no algorithms in our database for the given problem.
 
! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference
 
|-
 
| [[Karger, Blum ( Graph Coloring)|Karger, Blum]] || 1997 || $O(poly(V))$ ||  || $\tilde{O}(n^{3/14})$ || Deterministic || [http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.4204 Time]
|-
|}


== References/Citation ==  
== References/Citation ==  


https://ieeexplore-ieee-org.ezproxy.canberra.edu.au/stamp/stamp.jsp?arnumber=4031392
https://ieeexplore-ieee-org.ezproxy.canberra.edu.au/stamp/stamp.jsp?arnumber=4031392

Latest revision as of 08:53, 10 April 2023

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

Currently no algorithms in our database for the given problem.

References/Citation

https://ieeexplore-ieee-org.ezproxy.canberra.edu.au/stamp/stamp.jsp?arnumber=4031392