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Graphclass: (2K3,Cn+4)-free

Equivalent classes:  (1,2)-colorable cap chordal 
Complement classes:  (K3,3,co-(Cn+4))-free 
See also: 2K3 Cn+4

Inclusions

Minimal superclasses:  (1,2)-colorable   (2,2)-colorable cap chordal   (2K3,house)-free   (2K4,house)-free   (3K3,Cn+4)-free   HHDbicycle-free   hereditary Matula perfect 
Maximal subclasses:  (0,2)-colorable cap chordal   (1,1)-colorable   (1,2)-polar cap chordal   (2K2,C4,C5,S3,net)-free   (2K2,C4,C5)-free   (2K3,2P3,C4,K3 cup P3,P4)-free   (2K3,2P3,Cn+4,K3 cup P3)-free   (S3,net)-free cap split   (T3,X81,cycle)-free   bipartite cap bridged   chordal cap co-chordal   cycle-free   probe interval cap tree   split   tree 

Problems summary

Recognition:Polynomialdetails
Cliquewidth expression: Unbounded or NP-complete details
Cliquewidth:Unboundeddetails
Weighted independent set:Lineardetails
Independent set:Lineardetails
Domination:NP-completedetails

Algorithms for Recognition


Polynomial from (1,2)-colorable cap chordal  [1249]
Polynomial from (1,2)-colorable cap chordal 
     From the constituent classes.

Algorithms for Cliquewidth expression

See also : Cliquewidth : Weighted independent set : Domination

Algorithms for Cliquewidth

Unbounded from split  [1176]
See also : Cliquewidth expression

Algorithms for Weighted independent set

Linear from chordal  [1166]
Polynomial from (K2,3,P,hole)-free  [1107]
Polynomial from interval filament  [1159]
Polynomial [O(n^{6p+2})] from (p,q<=2)-colorable  [1116]
Polynomial from perfect  [476]
Polynomial [O(V^4)] from weakly chordal  [997]
Polynomial from subtree overlap  [1123]
See also : Cliquewidth expression : Independent set

Algorithms for Independent set

Linear from chordal  [425] [931]
Polynomial from Gallai  [1081]
Polynomial [O(VE)] from weakly chordal  [530] [1119]
Polynomial from Meyniel  [169]
Polynomial from clique separable  [1081]
See also : Weighted independent set

Algorithms for Domination

NP-complete from split  [1144] [1145]
See also : Cliquewidth expression