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EntityQ504843· pop 35· linked from 515 articles

مسألة تلوين البيان

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Also known as graph coloring problem, graph colouring

assignment of colors to elements of a graph subject to certain constraints

Key facts

Name
Graph coloring, vertex coloring, k -coloring
Input
Graph G with n vertices. Integer k
Output
Does G admit a proper vertex coloring with k colors?
Running time
O (2 n )
Complexity
NP-complete
Reduction from
3-Satisfiability
Garey johnson
GT4
Approximability
O ( n (log n ) (log log n ) )
Inapproximability
O ( n ) unless P = NP

via Wikipedia infobox

Wikidata facts

Subclass of
graph labeling
Image
List-edge coloring (cb).svg
Show 7 more facts
Commons category
Graph coloring
topic's main category
Category:Graph coloring
different from
edge coloring
ACM Classification Code (2012)
10003639
computational complexity
NP-complete
maintained by WikiProject
WikiProject Mathematics
Sources (3)

via Wikidata · CC0