Self-complementary classes
(1,1)-colorable
(2,2)-colorable
2-split
2-strongly regular
(2K2,C4,C5,S3,co-rising sun,net,rising sun)-free
(2K2,C4,C5,S3,net)-free
(2K2,C4,C5)-free
(2K2,C4,P4)-free
(2K2,C4)-free
(2K3 + e,5-pan,A,C6,E,K3,3-e,P6,R,X166,X167,X169,X170,X171,X172,X18,X37,X45,X5,X58,X84,X95,X98,5-pan,A,C6,E,P6,R,X166,X167,X169,X170,X171,X172,X18,X37,X45,X5,X58,X84,X95,X98,antenna,co-antenna,co-domino,co-fish,co-twin-C5,co-twin-house,domino,fish,twin-C5,twin-house)-free
(2K3 + e,A,C5,C6,E,H,K3,3-e,P6,R,S3,X166,X167,X168,X169,X170,X171,X172,X18,X45,X5,X58,X84,X95,X96,X98,A,C6,E,H,P6,R,X166,X167,X168,X169,X170,X171,X172,X18,X45,X5,X58,X84,X95,X96,X98,antenna,co-antenna,co-cross,co-domino,co-fish,co-twin-house,cross,domino,fish,net,twin-house)-free
(2K3 + e,A,C5,C6,E,H,K3,3-e,R,X168,X171,X18,X45,X5,X58,X84,X95,A,C6,E,H,R,X168,X171,X18,X45,X5,X58,X84,X95,antenna,co-antenna,co-domino,co-fish,co-twin-house,domino,fish,twin-house)-free
(2K3 + e,A,C5,C6,E,K3,3-e,P6,R,X166,X167,X169,X170,X171,X172,X18,X45,X5,X58,X84,X95,X98,A,C6,E,P6,R,X166,X167,X169,X170,X171,X172,X18,X45,X5,X58,X84,X95,X98,antenna,co-antenna,co-domino,co-fish,co-twin-house,domino,fish,twin-house)-free
(3K2,C4 ∪ P2,C5,P2 ∪ P4,P5,S3,X1,X46,X70,3K2,C4 ∪ P2,P2
∪ P4,X1,X46,X70,co-fish,co-rising sun,fish,house,net,rising sun)-free
(4K1,K4)-free
(5,1)
(5,2)
(6,2)
(6,3)
(6-fan,C4 ∪ P2,C5,C6 ∪ K1,C7,K2 ∪ K3,K2,3,P2
∪ P4,W4 ∪ K1,W6,X132,X169,X176,X18,X197,X198,X199,X200,X201,X202,X35,X84,C4 ∪ P2,C6 ∪ K1,C7,P2 ∪ P4,W4
∪ K1,W6,X132,X169,X176,X18,X197,X198,X199,X200,X201,X35,X84,butterfly ∪ K1,butterfly ∪ K1,co-6-fan,co-fish,fish)-free
(7,3)
(7,4)
(7,5)
(8,4)
(9,6)
(A,C5,C6,E,P6,S3,X159,X219,X5,X58,A,C6,E,P6,X159,X219,X5,X58,antenna,co-antenna,co-domino,co-rising sun,domino,net,rising sun)-free
(A,C5,P5,A,house,parachute,parapluie)-free
Berge
Berge ∩ bull-free
(C4 ∪ P2,C5,C6,K2 ∪ K3,K2,3,P6,W4,X18,X5,X84,C4 ∪ P2,C6,P6,W4,X18,X5,X84,antenna,co-antenna,co-domino,co-fish,domino,fish)-free
(C5,C6,P6,C6,P6)-free
(C5,K2 ∪ K3,K2,3,P,P2 ∪ P3,P5,P,P2 ∪ P3,co-fork,fork,house)-free
(C5,P,P5,S3,P,co-fork,fork,house,net)-free
(C5,P,P5,P,co-fork,fork,house)-free
(C5,P,P5,P,house)-free
(C5,P5,co-fish,fish,house)-free
(C5,P5,house)-free
(C5,P6,P6)-free
(C5,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9)-free
(C5,bull,co-gem,gem)-free
(C5,co-gem,gem)-free
C5-free
C5-free ∩ P4-extendible
C5-free ∩ P4-tidy
C5-free ∩ matrogenic
(C6,C6)-free
(C6,C6)-free murky
CIS
(Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X36,XF12n+3,XF2n+1,XF3n,XF4n,XF52n+3,XF62n+2,Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X36,co-XF12n+3,co-XF2n+1,co-XF3n,co-XF4n,co-XF52n+3,co-XF62n+2,odd
anti-hole)-free
(Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X36,XF12n+3,XF2n+1,XF3n,XF4n,XF52n+3,XF62n+2,Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X36,co-XF12n+3,co-XF2n+1,co-XF3n,co-XF4n,co-XF52n+3,co-XF62n+2,odd-hole)-free
Dilworth 1
Dilworth 2
HHD-free ∩ co-HHD-free
(K3 ∪ 2K1,K3 ∪ 2K1,bull,co-cricket,co-dart,cricket,dart)-free
Meyniel ∩ co-Meyniel
(P,P5,S3,P,co-fork,fork,house,net)-free
(P,P5,P,co-fork,fork,house)-free
(P,P,co-fork,fork)-free
P4-bipartite
P4-extendible
P4-extendible ∩ P4-sparse
P4-free
P4-laden
P4-lite
P4-reducible
P4-sparse
P4-tidy
P4-tidy ∩ perfect
(P5,bull,house)-free
(P5,house)-free
(S3,S4,net)-free
(S3,net)-free
(S3,net)-free ∩ extended P4-sparse
(S3,net)-free ∩ split
(S3,net)-free ∩ sun-free
(X12,X5,X95,X96,X97,X12,X5,X95,X96,X97,claw ∪ triangle,claw ∪ triangle,co-cricket,co-twin-house,cricket,odd
anti-hole,odd-hole,twin-house)-free
XC9-free
(XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9)-free
β-perfect ∩ co-β-perfect
(G)-perfect
almost CIS
almost-split
(anti-hole,hole)-free
basic perfect
bipartite ∪ co-bipartite ∪ co-line graphs of bipartite graphs ∪ double split ∪ line graphs of bipartite graphs
bipartite ∪ co-bipartite ∪ co-line graphs of bipartite graphs ∪ line graphs of bipartite graphs
brittle
(bull,co-fork,fork)-free
(bull,co-gem,gem)-free
(bull,odd anti-hole,odd-hole)-free
bull-free
bull-free ∩ perfect
charming
chordal ∩ co-chordal
chordal ∩ co-chordal ∩ co-comparability ∩ comparability
chordal ∪ co-chordal
circle graph with equator
(claw,co-claw)-free
cliquewidth 2
co-comparability ∩ comparability
co-comparability ∪ comparability
(co-diamond,diamond)-free
co-forest-perfect
(co-gem,gem)-free
co-interval ∩ cograph ∩ interval
co-interval ∩ interval
co-interval ∪ interval
(co-paw,paw)-free
co-trivially perfect ∩ trivially perfect
co-unipolar ∪ unipolar
cograph
cograph ∩ split
comparability graphs of dimension 2 posets
comparability graphs of series-parallel posets
comparability graphs of threshold orders
containment graph of intervals
double split
doubled
extended P4-laden
extended P4-reducible
extended P4-sparse
forest-perfect
galled-tree explainable
generalized split
kernel solvable
linear NLC-width 1
matrogenic
matroidal
maxibrittle
mock threshold
murky
normal
(odd anti-hole,odd-hole)-free
partner-limited
perfect
perfect cochromatic
perfectly 1-transversable
permutation
permutation ∩ split
polar
preperfect
pseudo-split
(q, q-3), fixed q>= 7
(q,q-4), fixed q
(q,t)
quasi-parity
self-complementary
split
split ∩ threshold signed
strongly circular perfect
strongly regular
superbrittle
threshold
threshold signed
unbreakable
weakly chordal
