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Filtering is case insensitive and the filtering process has some limited knowledge about graph names. E.g. if you filter on 'chair', 'fork' will also be found. Use LaTeX notation for super-/subscripts e.g. K_3 for K3 or S_{1,1,2} for S1,1,2 and for intersection/union (cap/cup).

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(1,2)-split
2-connected ∩ (4-fan,Cn+4,K5 - e,S3,H,K3 ∪ 2K1)-free
2-connected ∩ (P6,claw)-free
(2C4,3K2,C6,E,P2 ∪ P4,P6,X25,X26,X27,X28,X29,odd-cycle)-free
2K1-free
(2K2,3K1,C4,P4)-free
(2K2,3K1,C5,C6,C7,C8,H,K1,4,X85)-free
(2K2,3K1,C5,C6,C7,C8,H,X85)-free
(2K2,3K1,C5,C6,C7,C8)-free
(2K2,3K1,P3)-free
(2K2,3K1)-free
(2K2,4K1,C5,co-diamond)-free
(2K2,4K1,co-claw,co-diamond)-free
(2K2,5K1,C5,K3 ∪ 2K1,P3 ∪ 2K1,C6,C7,C8,K1,4,K5 - e,claw ∪ K1,co-butterfly,co-cricket,co-dart,co-gem)-free
(2K2,A,H)-free
(2K2,C4,C5,H,S3,X160,X159,net,rising sun)-free
(2K2,C4,C5,S3,X159,X160,H,co-rising sun,net)-free
(2K2,C4,C5,S3,claw,net)-free
(2K2,C4,C5,S3,co-claw,net)-free
(2K2,C4,C5,S3,co-rising sun,net,rising sun)-free
(2K2,C4,C5,S3,co-rising sun,net)-free
(2K2,C4,C5,S3,net,rising sun)-free
(2K2,C4,C5,S3,net)-free
(2K2,C4,C5,claw,diamond)-free
(2K2,C4,C5,co-claw,co-diamond)-free
(2K2,C4,C5,co-sun)-free
(2K2,C4,C5,sun)-free
(2K2,C4,C5)-free
(2K2,C4,P4,triangle)-free
(2K2,C4,P4)-free
(2K2,C4)-free
(2K2,C5,S3,X159,X160,X161,X162,X46,X70,2P3,3K2,H,P2 ∪ P4,X1,co-rising sun,house,net)-free
(2K2,C5,C6,C7,C8,XC11,co-claw,co-diamond)-free
(2K2,C5,C6,C7,C8)-free
(2K2,C5,C6,net)-free
(2K2,C5,T2)-free
(2K2,C5,triangle)-free
(2K2,C5)-free
(2K2,K3,3,K3,3+e,P4,2P3)-free
(2K2,P3,triangle)-free
(2K2,P3)-free
(2K2,P4,2P3)-free
(2K2,P4,co-dart)-free
(2K2,P4)-free
(2K2,2P3,C6)-free
(2K2,C6,C8,K1,4,odd anti-cycle)-free
(2K2,C6,odd anti-cycle)-free
(2K2,P6)-free
(2K2,X91,co-claw)-free
(2K2,claw)-free
(2K2,co-claw,co-diamond)-free
(2K2,co-diamond)-free
(2K2,house)-free
(2K2,net)-free
(2K2,odd anti-hole)-free
2K2-free
2K2-free ∩ bipartite
2K2-free ∩ probe cograph
2K2-free ∩ probe trivially perfect
(2K3 + e,3K1,C5,T2,X18,X94,co-domino)-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
(2K3 + e,C5,C6,P6,X5,2P4,A,C6,C7,E,P7,R,X1,X103,X5,X58,X84,X98,antenna,co-domino,co-rising sun,co-twin-house,domino,parachute,parapluie,rising sun,sunlet4)-free
(2K3 + e,X98,house)-free
(2K3 + e,X99,house)-free
(2K3 + e,house)-free
(2K3,2K3 + e,2P3,C5,C6,C7,K2,3,K3 ∪ P3,W4,X84,X95,A,C6,P6,X5,X98,butterfly,co-domino,co-fish,fish)-free
(2K3,2K3 + e,3K1,A,H,T2,X18,X45,co-domino)-free
(2K3,2K3 + e,A,H,X45,XZ5,co-domino)-free
(2K3,2P3,C4,K3 ∪ P3,P4)-free
(2K3,2P3,C5,C6,C7,K2,3,K3 ∪ P3,X84,3K2,C4 ∪ P2,C6,P2 ∪ P4,P6,X18,X5,co-antenna,co-domino,co-fish)-free
(2K3,2P3,Cn+4,K3 ∪ P3)-free
(2K3,3K1,A,H,X45)-free
(2K3,4K1,C7,X38,X39,W4 ∪ K1,W5,X86,X87,X88,X89,X90,butterfly ∪ K1,diamond)-free
(2K3,Cn+4)-free
(2K3,X42,A,H,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57)-free
(2K3,house)-free
(2K4,house)-free
(2P3,3K2,C4 ∪ P2,C6,K2,3,P6,X130,X132,X134,X152,X153,X154,X155,X156,X157,X158,X18,X84,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,co-XF12n+3,co-XF62n+3,co-antenna,co-eiffeltower,co-longhorn,domino,fish,odd anti-hole)-free
(2P3,3K2,C4,C5,H,P2 ∪ P4,P5,S3,X1,X160,X159,X161,X162,X46,X70,net,rising sun)-free
(2P3,C4,C6)-free
(2P3,C4,P4)-free
(2P3,P4)-free
(2P3,triangle)-free
2P3-free
(2P4,A,C5,C6,C7,E,K3,3-e,P7,R,X1,X103,X5,X58,X84,X98,C6,P6,X5,sunlet4,co-antenna,co-domino,co-rising sun,domino,parachute,parapluie,rising sun,twin-house)-free
(3K1,C4,C5)-free
(3K1,C4,P3)-free
(3K1,C5,K3 ∪ K4,BW3,K3,4-e,T2,X18,X92,X93)-free
(3K1,C5,K5 - e,C6 ∪ K1,C7,K3,3 ∪ K1,K3,3-e ∪ K1,domino ∪ K1)-free
(3K1,C5,C6,P6)-free
(3K1,C5,C6,X164,X165,sunlet4)-free
(3K1,C5,butterfly,diamond)-free
(3K1,P3)-free
(3K1,P4)-free
(3K1,2P3)-free
(3K1,3K2)-free
(3K1,C6)-free
(3K1,E)-free
(3K1,H)-free
(3K1,K1,5)-free
(3K1,K2 ∪ claw)-free
(3K1,P2 ∪ P4)-free
(3K1,P3)-free
(3K1,P6)-free
(3K1,T2,X2,X3,anti-hole)-free
(3K1,X172)-free
(3K1,XC12)-free
(3K1,co-cross)-free
(3K1,co-fork)-free
(3K1,house)-free
(3K1,paw)-free
3K1-free
(3K2,A,C4 ∪ 2K1,E,P2 ∪ P3,R,K5 - e,co-claw,net,odd anti-hole,twin-house)-free
(3K2,C4 ∪ P2,C5,C6,K2 ∪ K3,K3,3,K3,3+e,P2 ∪ P4,P6,X18,X5,2P3,C6,C7,X84,antenna,domino,fish)-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
(3K2,C5,C7,P2 ∪ P4,X173,X11,net)-free
(3K2,C5,P2 ∪ P4,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,net)-free
(3K2,C5,P2 ∪ P4,net)-free
(3K2,C6,P7,X164,X165,odd-cycle,sunlet4)-free
(3K2,E,P2 ∪ P4,net,odd anti-hole,odd-hole)-free
(3K2,E,P2 ∪ P4,net)-free
(3K2,E,net,odd anti-hole)-free
(3K2,P,co-gem,house)-free
(3K2,co-paw,odd anti-hole)-free
(3K2,triangle)-free
(3K3,Cn+4)-free
(3P3,Cn+4,P3 ∪ P4,P5,X102,X180,X181,X182,X183,A)-free
(3P3,P3 ∪ P4,P5,X102,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,5-pan,A,P6,co-twin-C5)-free
(4-fan,Cn+4,K5 - e,S3,X100,X101,X102,H,K3 ∪ 2K1)-free
(4-fan,Cn+4,K5 - e,S3,H,K3 ∪ 2K1)-free
(4-fan,K1,4,W4,W5,A ∪ K1,co-fork ∪ K1,gem ∪ K1,net ∪ K1)-free
(4K1,C7,S3,X175,X176,X42,X36,claw,co-antenna,net,odd anti-hole)-free
(4K1,C7,X195,X196,X38,X39,W5,X194,X86,X88,X89,X90,house)-free
(4K1,K4)-free
(4K1,P4)-free
(4K1,Cn+4)-free
(4K1,co-claw,co-diamond)-free
(4K1,gem)-free
(4K1,house)-free
(4K1,net)-free
(4K1,odd anti-hole,odd-hole)-free
4K1-free
(5-pan,A,P6,X186,3P3,P3 ∪ P4,X102,X180,X181,X182,X183,X184,X185,X187,X188,X189,X190,X191,X192,X193,house,twin-C5)-free
(5-pan,T2,X172)-free
(5-pan,T2,X172)-free ∩ planar
(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
(A ∪ K1,K1,4,W4,W5,co-4-fan,co-fork ∪ K1,gem ∪ K1,net ∪ K1)-free
(A,C4 ∪ 2K1,P2 ∪ P3,R,K5 - e,W5,co-claw,twin-C5,twin-house)-free
(A,C4 ∪ 2K1,P2 ∪ P3,R,K5 - e,co-claw,odd anti-hole,twin-house)-free
(A,C5,C6,K2 ∪ K3,K3,3,K3,3+e,K3,3-e,P6,X5,X98,2P3,C6,C7,W4,X84,X95,co-butterfly,co-fish,domino,fish)-free
(A,C5,C6,P6,domino,house)-free
(A,C5,P5,A,house,parachute,parapluie)-free
(A,E,S3,X1,domino,hole,house,net,rising sun)-free
(A,H,K3,3,K3,3-e,T2,X18,X45,domino,triangle)-free
(A,H,K3,3,K3,3-e,X45,XZ5,domino)-free
(A,H,K3,3,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X42)-free
(A,H,K3,3,X45,triangle)-free
(A,P6,clique wheel,domino,hole,house)-free
(A,P6,domino)-free
(A,T2,odd-cycle)-free
(A,3P3,Cn+4,P3 ∪ P4,X102,X180,X181,X182,X183,house)-free
AT-free
AT-free ∩ bipartite
AT-free ∩ chordal
AT-free ∩ claw-free
B0-VPG ∩ triangle-free
(BW3,C5,K3,4,K3,4-e,T2,X18,X92,X93,triangle)-free
(BW3,W5,W7,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X53,X88,C6,C8,T2,X3)-free
BW3-free
BW3-free ∩ modular
Berge
Berge ∩ bull-free
Berge ∩ claw-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
(C4,C5,C6,C7,C8,H,K1,4,X85,triangle)-free
(C4,C5,C6,C7,C8,H,X85,triangle)-free
(C4,C5,C6,C7,C8,H,X85,triangle)-free ∩ K1,4-free
(C4,C5,C6,C7,C8,K1,4,K5,K5 - e,K3 ∪ 2K1,P3 ∪ 2K1,claw ∪ K1,butterfly,cricket,dart,gem)-free
(C4,C5,C6,C7,C8,K1,4,K5,K5 - e,K3 ∪ 2K1,P3 ∪ 2K1,claw ∪ K1,butterfly,cricket,dart,gem)-free ∩ planar
(C4,C5,C6,C7,C8,XC11,claw,diamond)-free
(C4,C5,C6,C7,C8)-free
(C4,C5,C6,C7,C8)-free ∩ maximum degree 3 ∩ planar
(C4,C5,C6,S3)-free
(C4,C5,K4,diamond)-free
(C4,C5,K4,diamond)-free ∩ planar
(C4,C5,T2)-free
(C4,C5)-free
(C4,C5)-free ∩ Helly
(C4,C5)-free ∩ cop-win
(C4,C6,C8,K1,4,odd-cycle)-free
(C4,C6,C8,K1,4,odd-cycle)-free ∩ planar
(C4,C6,odd-cycle)-free
(C4,K4,claw,diamond)-free
(C4,P4,dart)-free
(C4,P4)-free
(C4,P5)-free
(C4,P6)-free
(C4,S3)-free
(C4,X91,claw)-free
(C4,A,H)-free
(C4,P3,triangle)-free
(C4,P3)-free
(C4,claw,diamond)-free
(C4,co-claw)-free
(C4,diamond)-free
(C4,odd-hole)-free
(C4,triangle)-free
(C4,triangle)-free ∩ planar
C4-free
C4-free ∩ C6-free ∩ bipartite
C4-free ∩ co-comparability
C4-free ∩ induced-hereditary pseudo-modular
C4-free ∩ odd-signable
C4-free ∩ perfect
(C5,C6 ∪ K1,C7,K3,3 ∪ K1,K3,3-e ∪ K1,K5 - e,domino ∪ K1,triangle)-free
(C5,C6,C7,C8,P8,X19,X20,X21,X22,gem,house)-free
(C5,C6,P6,X17,X18,X5,X98,C6,P6,antenna,domino)-free
(C5,C6,P6,C6,P6,X17,X18,X5,X98,co-antenna,co-domino)-free
(C5,C6,P6,C6,P6)-free
(C5,C6,P6,triangle)-free
(C5,C6,X164,X165,sunlet4,triangle)-free
(C5,K2 ∪ K3,K2,3,P,P2 ∪ P3,P5,P,P2 ∪ P3,co-fork,fork,house)-free
(C5,K3,3-e,T2,X18,X94,domino,triangle)-free
(C5,P,P5,S3,P,co-fork,fork,house,net)-free
(C5,P,P5,P,bull,co-gem,fork)-free
(C5,P,P5,P,co-fork,fork,house)-free
(C5,P,P5,P,house)-free
(C5,P,P5,house)-free
(C5,P,P,bull,co-fork,gem,house)-free
(C5,P,co-fork,fork,gem,house)-free
(C5,P2 ∪ P3,house)-free
(C5,P5,A,C6,P6,co-domino)-free
(C5,P5,C6,C7,C8,P8,X19,X20,X21,X22,co-gem)-free
(C5,P5,P,co-fork,co-gem,fork)-free
(C5,P5,P,house)-free
(C5,P5,P2 ∪ P3)-free
(C5,P5,co-fish,fish,house)-free
(C5,P5,gem)-free
(C5,P5,house)-free
(C5,P5)-free
(C5,P6,P6)-free
(C5,S3,X11,3K2,C7,P2 ∪ P4,X173)-free
(C5,S3,X11,3K2,C7,P2 ∪ P4,X173)-free ∩ co-line
(C5,S3,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,3K2,P2 ∪ P4,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9)-free
(C5,S3,3K2,P2 ∪ P4)-free
(C5,S3,3K2,P2 ∪ P4)-free ∩ P4-tidy
(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-butterfly,co-diamond,triangle)-free
(C5,co-gem,gem)-free
(C5,co-gem,house)-free
(C5,house)-free
C5-free
C5-free ∩ P4-extendible
C5-free ∩ P4-tidy
C5-free ∩ matrogenic
(C6,C8,T2,X3,BW3,W5,W7,X103,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X53,X88,co-X104)-free
(C6,K2 ∪ K3,X103,X37,X88,X90,Cn+4 ∪ K1,T2,net ∪ K1,co-diamond,co-domino,co-eiffeltower,co-twin-C5)-free
(C6,K2 ∪ K3,X37,X90,Cn+4 ∪ K1,T2,Wn+4,X31,co-XF2n+1,co-XF3n,co-domino,co-twin-C5)-free
(C6,K3,3+e,P,P7,X37,X41)-free
(C6,P6,P6,X10,X11,X12,X13,X14,X15,X5,X6,X7,X8,X9,anti-hole,co-antenna)-free
(C6,S3,Cn+4 ∪ K1,W4,W5,co-claw,net)-free
(C6,C6)-free
(C6,C6)-free murky
(C6,house)-free
(C6,triangle)-free
C6-free
C6-free ∩ modular
(C7,odd anti-hole)-free
(Cn+3 ∪ K1,diamond,paw)-free
(Cn+4 ∪ K1,C(n,k),W4,odd-cycle ∪ K1,even anti-hole,net)-free
(Cn+4 ∪ K1,C(n,k),X42,T2,X2,X3,odd-cycle ∪ K1,even anti-hole,net)-free
(Cn+4 ∪ K1,K2,3,T2,Wn+4,X31,XF2n+1,XF3n,C6,X37,X90,domino,twin-C5)-free
(Cn+4 ∪ K1,K2,3,T2,C6,X103,X37,X88,X90,diamond,domino,eiffeltower,net ∪ K1,twin-C5)-free
(Cn+4 ∪ K1,K2,3,T2,X90,domino,paw,twin-C5)-free
(Cn+4 ∪ K1,S3 ∪ K1,X42,T2,X2,X3,odd-cycle ∪ K1,even anti-hole,net)-free
(Cn+4 ∪ K1,S3,W4,W5,C6,claw,net)-free
(Cn+4 ∪ K1,S3,W4,odd-cycle ∪ K1,even anti-hole,net)-free
(Cn+4,H)-free
(Cn+4,K4)-free
(Cn+4,P5,bull)-free
(Cn+4,P5,claw,gem)-free
(Cn+4,S3 ∪ K1,X103,claw,eiffeltower,net ∪ K1)-free
(Cn+4,S3 ∪ K1,claw,net)-free
(Cn+4,S3,claw,net)-free
(Cn+4,S3,net)-free
(Cn+4,S3)-free
(Cn+4,T2,X31,XF2n+1,XF3n)-free
(Cn+4,T2,XF2n+1)-free
(Cn+4,T2,net)-free
(Cn+4,X102,X204,P3 ∪ 2K1,gem)-free
(Cn+4,X59,longhorn)-free
(Cn+4,XF12n+3,XF62n+2,X34,X36,co-XF2n+1,co-XF3n)-free
(Cn+4,bull,dart,gem)-free
(Cn+4,claw,gem)-free
(Cn+4,claw,net)-free
(Cn+4,claw)-free
(Cn+4,diamond)-free
(Cn+4,gem)-free
(Cn+4,odd-sun)-free
(Cn+4,sun)-free
Cn+4-free
(Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,XF2n+1,XF3n,XF4n)-free
(Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,XF2n+1,XF3n,XF4n,co-XF12n+3,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 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
(Cn+6,X37,claw,co-antenna,net,sun)-free
(Cn+6,odd-cycle)-free
Cn+6-free
Cn+7-free
(E,P)-free
(E,odd-cycle)-free
(E,triangle)-free
E-free
E-free ∩ bipartite
E-free ∩ planar
(H,K3 ∪ 2K1,Cn+4,K5 - e,X100,X101,X102,co-4-fan,net)-free
(H,K3 ∪ 2K1,Cn+4,K5 - e,co-4-fan,net)-free
(H,triangle)-free
HH-free
HHD-free
HHD-free ∩ co-HHD-free
HHDA-free
HHDG-free
HHDS-free
HHDbicycle-free
HHG-free
HHP-free
Helly circular arc ∩ (C7,odd-hole)-free
(K1,4,P,P5,fork)-free
(K1,4,P5)-free
(K1,4,diamond)-free
(K1,4,odd-cycle)-free
(K1,4,odd-cycle)-free ∩ planar
(K1,4,paw)-free
K1,4-free
K1,4-free ∩ almost claw-free ∩ locally connected
K1,4-free ∩ well covered
(K1,5,triangle)-free
(K2 ∪ K3,P4,butterfly)-free
(K2 ∪ K3,P5,X37,X38,co-diamond,co-domino,co-twin-C5)-free
(K2 ∪ 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+3,2P3,3K2,C4 ∪ P2,C6,P6,X130,X132,X134,X152,X153,X154,X155,X156,X157,X158,X18,X84,antenna,co-domino,co-fish,eiffeltower,longhorn,odd-hole)-free
(K2 ∪ K3,X90,Cn+4 ∪ K1,T2,co-domino,co-paw,co-twin-C5)-free
(K2 ∪ K3,P,X163,X95,co-diamond,house)-free
(K2 ∪ K3,P,anti-hole)-free
(K2 ∪ K3,P,house)-free
(K2 ∪ K3,co-diamond)-free
(K2 ∪ K3,house)-free
K2 ∪ K3-free
(K2 ∪ claw,triangle)-free
K2 ∪ claw-free
(K2,3,K4)-minor-free
(K2,3,P,P5,X163,X95,diamond)-free
(K2,3,P,P5)-free
(K2,3,P,hole)-free
(K2,3,P4,co-butterfly)-free
(K2,3,P5)-free
(K2,3,X37,X38,diamond,domino,house,twin-C5)-free
(K2,3,diamond)-free
(K2,3,diamond)-free ∩ weakly modular
K2,3-free
K2,3-free ∩ hereditary modular
K2-free
(K3 ∪ P3,C6,P,P7,X37,X41)-free
(K3,3,3,Cn+4)-free
(K3,3,K3,3+e,2P3,Cn+4)-free
(K3,3,K4,W4 ∪ K1,W5,X86,X87,X88,X89,X90,C7,X38,X39,butterfly ∪ K1,co-diamond)-free
(K3,3,K5)-minor-free
(K3,3,P5)-free
(K3,3,Cn+4)-free
(K3,3-e,P5,X98)-free
(K3,3-e,P5,X99)-free
(K3,3-e,P5)-free
K3-minor-free
(K4,4,P5)-free
(K4,P4)-free
(K4,P5,W5,X194,X86,X88,X89,X90,C7,X195,X196,X38,X39)-free
(K4,P5)-free
(K4,S3,X36,C7,X175,X176,X42,antenna,co-claw,net,odd-hole)-free
(K4,S3)-free
(K4,claw,diamond)-free
(K4,co-gem)-free
(K4,odd anti-hole,odd-hole)-free
(K4,odd anti-hole,odd-hole)-free ∩ dually chordal
K4-free
K4-free ∩ dually chordal ∩ perfect
K4-free ∩ perfect
K4-minor-free
(K5 - e,S3,3K2,A,C4 ∪ 2K1,E,P2 ∪ P3,R,claw,co-twin-house,odd-hole)-free
(K5 - e,W5,A,C4 ∪ 2K1,P2 ∪ P3,R,claw,co-twin-C5,co-twin-house)-free
(K5 - e,A,C4 ∪ 2K1,P2 ∪ P3,R,claw,co-twin-house,odd-hole)-free
(K5,X126,X174,3K2)-minor-free
(P,P5,S3,P,co-fork,fork,house,net)-free
(P,P5,3K2,gem)-free
(P,P5,P,co-fork,fork,house)-free
(P,P5,co-fork)-free
(P,P5)-free
(P,P7)-free
(P,P8)-free
(P,T2)-free
(P,P,co-fork,fork)-free
(P,co-butterfly,co-fork,co-gem)-free
(P,co-fork,co-gem)-free
(P,co-fork)-free
(P,co-gem,house)-free
(P,star1,2,3)-free
(P,star1,2,4)-free
(P,star1,2,5)-free
P-free
(P2 ∪ P3,house)-free
(P2 ∪ P4,triangle)-free
P2 ∪ P4-free
(P3 ∪ 2K1,Cn+4,X102,X204,co-gem)-free
(P3,triangle)-free
P3-free
(P4,2P3)-free
(P4,co-cycle)-free
(P4,cycle)-free
(P4,triangle)-free
P4-bipartite
P4-free
P4-tidy ∩ (S3,3K2,E,P2 ∪ P4,odd anti-hole,odd-hole)-free
(P5,S3,A,E,X1,anti-hole,co-domino,co-rising sun,net)-free
(P5,S3,anti-hole,co-domino,co-gem)-free
(P5,X82,X83)-free
(P5,A,P6,anti clique wheel,anti-hole,co-domino)-free
(P5,A,anti-hole,co-domino)-free
(P5,C6)-free
(P5,C6)-free ∩ weakly chordal
(P5,P,anti-hole)-free
(P5,P,gem)-free
(P5,P2 ∪ P3)-free
(P5,X38,co-gem)-free
(P5,anti-hole,co-bicycle,co-domino)-free
(P5,anti-hole,co-domino,co-gem)-free
(P5,anti-hole,co-domino,co-sun)-free
(P5,anti-hole,co-domino)-free
(P5,anti-hole,co-gem)-free
(P5,anti-hole)-free
(P5,bull,co-fork)-free
(P5,bull,house)-free
(P5,bull,odd anti-hole)-free
(P5,bull)-free
(P5,bull)-free ∩ interval
(P5,claw)-free
(P5,co-domino,co-gem)-free
(P5,co-fork,house)-free
(P5,co-fork)-free
(P5,cricket)-free
(P5,diamond)-free
(P5,fork,house)-free
(P5,fork)-free
(P5,gem)-free
(P5,house)-free
(P5,triangle)-free
P5-free
P5-free ∩ tripartite
P5-free ∩ weakly chordal
(P6,X10,X11,X12,X13,X14,X15,X5,X6,X7,X8,X9,C6,P6,antenna,hole)-free
(P6,X30,X8)-free
(P6,claw)-free
(P6,triangle)-free
P6-free
P6-free ∩ chordal bipartite
P6-free ∩ tripartite
(P7,odd-cycle,star1,2,3,sunlet4)-free
(P7,odd-cycle,star1,2,3)-free
(P7,odd-cycle)-free
P7-free
P7-free ∩ bipartite
(S3,S4,net)-free
(S3,T2,X2,X3,Cn+4 ∪ K1,C(n,k),X42,even-hole,odd-cycle ∪ K1)-free
(S3,T2,X2,X3,Cn+4 ∪ K1,S3 ∪ K1,X42,even-hole,odd-cycle ∪ K1)-free
(S3,3K2,E,P2 ∪ P4,odd anti-hole,odd-hole)-free
(S3,3K2,E,P2 ∪ P4)-free
(S3,3K2,E,odd-hole)-free
(S3,3K2,E,odd-hole)-free ∩ line
(S3,Cn+4 ∪ K1,C(n,k),W4,even-hole,odd-cycle ∪ K1)-free
(S3,Cn+4,S3 ∪ K1,co-claw)-free
(S3,Cn+4,T2)-free
(S3,Cn+4,co-claw,net)-free
(S3,Cn+4,co-claw)-free
(S3,Cn+4,net)-free
(S3,Cn+6,X37,antenna,co-claw,co-sun)-free
(S3,claw,net)-free
(S3,claw,net)-free ∩ chordal
(S3,co-claw,net)-free
(S3,co-claw)-free
(S3,net)-free
(S3,net)-free ∩ chordal
(S3,net)-free ∩ extended P4-sparse
(S3,net)-free ∩ split
(S3,net)-free ∩ sun-free
S3-free
S3-free ∩ chordal
(T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,XF2n+1,XF3n,XF4n,anti-hole,co-XF12n+3,co-XF52n+3,co-XF62n+2,hole)-free
(T2,X2,X3,hole,triangle)-free
(T2,cycle)-free
(T3,X81,cycle)-free
(T3,cycle)-free
W2n+3-free
(W4,W5,butterfly)-free
(W4,claw,gem,odd-hole)-free
(W4,claw,gem)-free
(W4,claw)-free
(W4,gem)-free
(W4,gem)-free ∩ short-chorded
Wn+4-free
(X103,Cn+4,S3 ∪ K1,net ∪ K1,co-claw,co-eiffeltower)-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
(X172,triangle)-free
(X177,odd-cycle)-free
(X30,XZ1,XZ4,longhorn)-free
(X34,X36,XF2n+1,XF3n,Cn+4,co-XF12n+3,co-XF62n+2)-free
(X37,diamond,even-cycle)-free
(X38,gem,house)-free
(X79,X80)-free
(X79,X80)-free ∩ modular
(X91,claw)-free
(XC1,XC2,XC3,XC4,XC5,XC6,XC7,XC8)-free
XC10-free
XC10-free ∩ pseudo-modular
XC10-free ∩ weakly modular
(XC11,claw,diamond)-free
(XC11,odd-cycle)-free
(XC11,odd-cycle)-free ∩ planar
(XC12,cycle)-free
(XC12,triangle)-free
(XC12,triangle)-free ∩ planar
XC13-free
(XC7,XC1,XC2,XC3,XC4,XC5,XC6,XC8)-free
XC9-free
(XF12n+3,XF52n+3,XF62n+2,Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,co-XF2n+1,co-XF3n,co-XF4n,odd-hole)-free
(XF12n+3,XF52n+3,XF62n+2,T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,anti-hole,co-XF2n+1,co-XF3n,co-XF4n,hole)-free
(XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9,XZ11,XZ12,XZ13,XZ14,XZ6,XZ7,XZ8,XZ9)-free
cal P3-perfect
(2C4,3K2,C6,E,P2 ∪ P4,P6,X25,X26,X27,X28,X29,odd anti-cycle)-free
2P3-free
(3K2,C6,P7,X164,X165,sunlet4,odd anti-cycle)-free
(3K2,odd-hole,paw)-free
(5-pan,T2,X172)-free
(A,P6,co-domino)-free
(A,T2,odd anti-cycle)-free
BW3-free
C6-free
(C7,odd-hole)-free
(Cn+3 ∪ K1,co-diamond,co-paw)-free
(Cn+4,H)-free
(Cn+4,T2,X31,co-XF2n+1,co-XF3n)-free
(Cn+4,T2,co-XF2n+1)-free
(Cn+4,X59,co-longhorn)-free
(Cn+4,bull,co-dart,co-gem)-free
(Cn+4,bull,house)-free
(Cn+4,co-claw,co-gem,house)-free
(Cn+4,co-claw,co-gem)-free
(Cn+4,co-claw)-free
(Cn+4,co-diamond)-free
(Cn+4,co-gem)-free
(Cn+4,co-sun)-free
(Cn+4,net)-free
(Cn+4,odd co-sun)-free
Cn+4-free
(Cn+6,T2,X2,X3,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,co-XF2n+1,co-XF3n,co-XF4n)-free
(Cn+6,odd anti-cycle)-free
Cn+6-free
Cn+7-free
(E,P)-free
(E,odd anti-cycle)-free
E-free
(K1,4,P,co-fork,house)-free
(K1,4,co-diamond)-free
(K1,4,co-paw)-free
(K1,4,house)-free
(K1,4,odd anti-cycle)-free
K1,4-free
K2 ∪ claw-free
(P,P7)-free
(P,P8)-free
(P,T2)-free
(P,star1,2,3)-free
(P,butterfly,fork,gem)-free
(P,co-star1,2,4)-free
(P,co-star1,2,5)-free
(P,fork,gem)-free
(P,fork,house)-free
(P,fork)-free
(P,house)-free
P-free
P2 ∪ P4-free
(P3,triangle)-free
P3-free
(P6,X30,X8)-free
(P6,co-claw)-free
P6-free
(P7,star1,2,3,sunlet4,odd anti-cycle)-free
(P7,star1,2,3,odd anti-cycle)-free
(P7,odd anti-cycle)-free
P7-free
(T2,co-cycle)-free
(T3,X81,co-cycle)-free
(T3,co-cycle)-free
W2n+3-free
(W4,W5,co-butterfly)-free
(W4,co-claw,co-gem,odd anti-hole)-free
(W4,co-claw,co-gem)-free
(W4,co-claw)-free
(W4,co-gem)-free
Wn+4-free
(X177,odd anti-cycle)-free
(X30,XZ1,XZ4,co-longhorn)-free
(X37,co-diamond,even anti-cycle)-free
(X79,X80)-free
(X82,X83,house)-free
(X91,co-claw)-free
XC10-free
(XC11,co-claw,co-diamond)-free
(XC11,odd anti-cycle)-free
XC11-free
(XC12,co-cycle)-free
XC12-free
XC13-free
(claw ∪ 3K1,odd anti-cycle)-free
(n+4)-pan-free
(star1,2,3,sunlet4,odd anti-cycle)-free
(star1,2,3,odd anti-cycle)-free
almost claw-free
(anti-hole,bull,odd-hole)-free
(anti-hole,co-domino,odd anti-cycle)-free
(anti-hole,co-sun,hole)-free
(anti-hole,fork)-free
(anti-hole,hole,sun)-free
(anti-hole,hole)-free
(anti-hole,odd anti-cycle)-free
(anti-hole,odd-hole)-free
anti-hole-free
astral triple-free
balanced ∩ paw-free
biclique separable
bipartite ∩ claw-free
bisplit ∩ triangle-free
building-free
building-free ∩ even-signable
building-free ∩ odd-signable
(bull,co-fork,co-gem)-free
(bull,co-fork,fork)-free
(bull,co-fork)-free
(bull,co-gem,gem)-free
(bull,fork,gem)-free
(bull,fork,house)-free
(bull,fork)-free
(bull,hole,odd anti-hole)-free
(bull,house,odd-hole)-free
(bull,house)-free
(bull,odd anti-hole,odd-hole)-free
bull-free
bull-free ∩ perfect
(butterfly,claw)-free
(butterfly,gem)-free
chordal ∩ circular arc ∩ claw-free
chordal ∩ (claw,net)-free
chordal ∩ claw-free
chordal ∩ diamond-free
chordal ∩ gem-free
chordal ∩ odd-sun-free
chordal ∩ probe diamond-free
chordal ∩ sun-free
circle ∩ diamond-free
circular arc ∩ diamond-free
circular arc ∩ paw-free
(claw ∪ 3K1,odd-cycle)-free
(claw,co-claw)-free
(claw,diamond,odd-hole)-free
(claw,diamond)-free
(claw,net)-free
(claw,odd anti-hole,odd-hole)-free
(claw,odd anti-hole)-free
(claw,odd anti-hole)-free ∩ tripartite
(claw,odd-cycle)-free
(claw,odd-hole)-free
(claw,odd-hole)-free ∩ tripartite
(claw,paw)-free
claw-free
claw-free ∩ interval
claw-free ∩ locally connected
claw-free ∩ mock threshold
claw-free ∩ odd anti-hole-free ∩ tripartite
claw-free ∩ odd-hole-free ∩ tripartite
claw-free ∩ perfect
claw-free ∩ upper domination perfect
claw-free ∩ well covered
clique-perfect ∩ triangle-free
co-HHD-free
co-building-free
(co-butterfly,co-claw)-free
(co-butterfly,co-gem)-free
(co-claw,co-diamond,odd anti-hole)-free
(co-claw,co-diamond)-free
(co-claw,co-paw)-free
(co-claw,house)-free
(co-claw,odd anti-cycle)-free
(co-claw,odd anti-hole,odd-hole)-free
(co-claw,odd anti-hole)-free
(co-claw,odd-hole)-free
co-claw-free
(co-cricket,house)-free
co-cycle-free
(co-diamond,diamond)-free
(co-diamond,even anti-cycle)-free
(co-diamond,house)-free
(co-diamond,odd anti-hole)-free
co-diamond-free
co-domino-free
(co-fork,hole)-free
(co-fork,house)-free
(co-fork,odd anti-cycle)-free
co-fork-free
(co-gem,gem)-free
(co-gem,house)-free
co-gem-free
(co-odd building,odd anti-hole)-free
(co-paw,odd anti-hole)-free
(co-paw,paw)-free
(co-paw,triangle)-free
co-paw-free
co-sun-free
(cross,triangle)-free
cycle-free
(diamond,even-cycle)-free
(diamond,odd-hole)-free
diamond-free
diamond-free ∩ perfect
domination perfect ∩ triangle-free
(domino,gem,hole,house,net)-free
(domino,gem,house)-free
(domino,gem,house)-free ∩ pseudo-modular
(domino,hole,odd-cycle)-free
domino-free
domino-free ∩ modular
even anti-cycle-free
even anti-hole-free
even-cycle-free
even-hole-free
even-hole-free ∩ probe chordal
extended P4-reducible
extended P4-sparse
(fork,house)-free
(fork,odd-cycle)-free
(fork,triangle)-free
fork-free
gem-free
gridline
hereditary clique-Helly ∩ paw-free ∩ perfect
(hole,odd anti-hole)-free
(hole,odd-cycle)-free
hole-free
hole-free ∩ planar
(house,hole,domino,sun)-free
house-free
house-free ∩ weakly chordal
isometric-HH-free
line
line graphs of triangle-free graphs
maximum degree 3
maximum degree 3 ∩ planar ∩ triangle-free
maximum degree 4
monopolar
murky
(n+4)-pan-free
nK2-free, fixed n
nP3-free, fixed n
neighbourhood-Helly ∩ triangle-free
net-free
odd anti-cycle-free
(odd anti-hole,odd-hole)-free
odd anti-hole-free
(odd building,odd-hole)-free
odd co-sun-free
(odd-cycle,star1,2,3,sunlet4)-free
(odd-cycle,star1,2,3)-free
odd-cycle-free
(odd-hole,paw)-free
odd-hole-free
odd-hole-free ∩ planar
odd-hole-free ∩ pretty
odd-signable ∩ triangle-free
odd-sun-free
outerplanar
paw-free
paw-free ∩ perfect
perfect ∩ triangle-free
planar ∩ triangle-free
polar
pretty
probe AT-free
probe HHDS-free
probe diamond-free
pseudo-median ∩ triangle-free
pseudo-modular ∩ triangle-free
pseudo-split
quasi-Meyniel
rectagraph
semi-P4-sparse
slightly triangulated
sun-free
sun-free ∩ weakly chordal
tolerance ∩ triangle-free
triangle-free
unipolar
weak bipolarizable
weakly chordal