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Graphclass: (1,2)-colorable

References: [1116] [142]
Related classes:  (1,2)-colorable cap chordal   (p,q)-colorable 

Inclusions

Minimal superclasses:  (2,2)-colorable   2-split 
Maximal subclasses:  (1,2)-colorable cap chordal   (1,2)-polar   (2K3,2P3,C5,C6,C7,K2,3,K3 cup P3,X84,co-(3K2),co-(C4 cup P2),co-(C6),co-(P2 cup P4),co-(P6),co-(X18),co-(X5),co-antenna,co-domino,co-fish)-free   (2K3,Cn+4)-free   Hilbertian   (K2 cup K3,X11,X127,X128,X129,X131,X133,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X30,X35,X46,XF12n+3,XF62n+3,co-(2P3),co-(3K2),co-(C4 cup P2),co-(C6),co-(P6),co-(X130),co-(X132),co-(X134),co-(X152),co-(X153),co-(X154),co-(X155),co-(X156),co-(X157),co-(X158),co-(X18),co-(X84),antenna,co-domino,co-fish,eiffeltower,longhorn,odd-hole)-free   X-star-chordal   absolute bipartite retract   bithreshold   half-disk Helly   median   modular cap open-neighbourhood-Helly   probe interval bigraph   probe split 

Problems summary

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

Algorithms for Recognition

Polynomial [142]

Algorithms for Cliquewidth expression

See also : Cliquewidth : Weighted independent set : Domination

Algorithms for Cliquewidth

Unbounded from bipartite permutation  [1182]
Unbounded from split  [1176]
Unbounded from C4-free cap C6-free cap bipartite  [1183]
Unbounded from grid  [1177]
See also : Cliquewidth expression

Algorithms for Weighted independent set

Polynomial [O(n^{6p+2})] from (p,q<=2)-colorable  [1116]
See also : Cliquewidth expression : Independent set

Algorithms for Independent set

See also : Weighted independent set

Algorithms for Domination

NP-complete from chordal bipartite  [1156]
NP-complete from bipartite  [1142]
NP-complete from partial grid  [1162] [630]
NP-complete from split  [1144] [1145]
See also : Cliquewidth expression