List of small graphs

2-fan	cricket	star_1,1,1,2	X₄₁	X₁₀₈
2C₄	cross	star_1,2,2	X₄₂	X₁₀₉
2K₂	dart	star_1,2,3	X₄₃	X₁₁₀
2K₃	diamond	star_2,2,2	X₄₄	X₁₁₁
2K₃ + e	diamond K₁	sunlet₄	X₄₅	X₁₁₂
2P₃	domino	T₂	X₄₆	X₁₁₃
3-fan	E	T₃	X₄₇	X₁₁₄
3-pan	eiffeltower	triangle	X₄₈	X₁₁₅
3K₁	fish	twin-C₅	X₄₉	X₁₁₆
3K₂	fork	twin-house	X₅₀	X₁₁₇
4-fan	gem	twin₃-house	X₅₁	X₁₁₈
4-pan	gem K₁	W₃	X₅₂	X₁₁₉
4K₁	H	W₄	X₅₃	X₁₂₀
5K₁ + e	house	W₄ K₁	X₅₄	X₁₂₁
co-(2P₃) K₁	K₂ 3K₁	W₅	X₅₅	X₁₂₂
co-(A K₁)	K₂ claw	W₆	X₅₆	X₁₂₃
co-(C₄ 2K₁)	K₂ K₃	X₁	X₅₇	X₁₂₄
co-(C₄ P₂)	K₂ K_1,3	X₂	X₅₈	X₁₂₅
co-(claw triangle)	K₃	X₃	X₅₉	X₁₂₆
co-(co-fork K₁)	K₃ 2K₁	X₄	X₇₀	X₁₂₇
co-(gem K₁)	K₃ P₃	X₅	X₇₁	X₁₂₈
co-(K₂ claw)	K₄	X₆	X₇₂	X₁₂₉
co-(K₃ 2K₁)	K₄ - e	X₇	X₇₃	X₁₃₀
co-(K₅ - e)	K₄ K₁	X₈	X₇₄	X₁₃₁
co-(K_3,3 K₁)	K₅ - e	X₉	X₇₅	X₁₃₂
co-(kite K₁)	K_1,3	X₁₀	X₇₆	X₁₃₃
co-(net K₁)	K_1,4	X₁₁	X₇₇	X₁₃₄
co-(P₂ P₃)	K_1,4+e	X₁₂	X₇₉	X₁₃₅
co-(P₂ P₄)	K_2,2	X₁₃	X₈₀	X₁₃₆
co-(S₃ K₁)	K_2,3	X₁₄	X₈₁	X₁₃₇
co-(W₄ K₁)	K_3,3	X₁₅	X₈₂	X₁₃₈
co-(X₃₅) K₁	K_3,3 K₁	X₁₇	X₈₃	X₁₃₉
A	K_3,3+e	X₁₈	X₈₄	X₁₄₀
A K₁	K_3,3-e	X₁₉	X₈₅	X₁₄₁
antenna	kite	X₂₀	X₈₆	X₁₄₂
banner	kite K₁	X₂₁	X₈₇	X₁₄₃
bull	longhorn	X₂₂	X₈₈	X₁₄₄
butterfly	net	X₂₃	X₈₉	X₁₄₅
BW₃	net K₁	X₂₄	X₉₀	X₁₄₆
BW₄	P	X₂₅	X₉₁	X₁₄₇
C₃	P₂ P₃	X₂₆	X₉₂	X₁₄₈
C₄	P₂ P₄	X₂₇	X₉₃	X₁₄₉
C₄ 2K₁	P₃	X₂₈	X₉₄	X₁₅₀
C₄ K₁	P₄	X₂₉	X₉₅	X₁₅₁
C₄ P₂	P₅	X₃₀	X₉₆	X₁₅₂
C₅	P₆	X₃₁	X₉₇	X₁₅₃
C₅ K₁	P₇	X₃₂	X₉₈	X₁₅₄
C₆	parachute	X₃₃	X₉₉	X₁₅₅
C₇	parapluie	X₃₄	X₁₀₀	X₁₅₆
C₇ K₁	paw	X₃₅	X₁₀₁	X₁₅₇
C₈	R	X₃₅ K₁	X₁₀₂	X₁₅₈
chair	rising sun	X₃₆	X₁₀₃	X₁₅₉
claw	S₃	X₃₇	X₁₀₄	X₁₆₀
claw triangle	S₃ K₁	X₃₈	X₁₀₅	X₁₆₁
co-fork K₁	S₄	X₃₉	X₁₀₆	X₁₆₂
co-rising sun	skew-star	X₄₀	X₁₀₇	X₁₆₃

Graphs ordered by number of vertices

3 vertices - Graphs are ordered by increasing number of edges in the left column.

3K₁ = co-triangle	triangle = K₃ = C₃

co-(P₃)	P₃

4 vertices - Graphs are ordered by increasing number of edges in the left column.

4K₁ = co-(K₄)	K₄ = W₃

co-diamond	diamond = K₄ - e = 2-fan

co-paw	paw = 3-pan

2K₂ = co-(C₄)	C₄ = K_2,2

claw = K_1,3	co-claw

P₄
	Self complementary

5 vertices - Graphs are ordered by increasing number of edges in the left column.

co-(K₅ - e) = 5K₁ + e = K₂ 3K₁	K₅ - e

co-(W₄)	W₄

P₂ P₃	co-(P₂ P₃)

co-gem	gem = 3-fan

K₃ 2K₁	co-(K₃ 2K₁)

K_1,4	co-(K_1,4) = K₄ K₁

co-butterfly = C₄ K₁	butterfly

fork = chair	co-fork = kite = co-chair = co-(chair)

co-dart	dart

P₅	house = co-(P₅)

K₂ K₃ = co-(K_2,3)	K_2,3

P = 4-pan = banner	co-(P)

bull
	Self complementary

cricket = K_1,4+e	co-cricket = diamond K₁

C₅
	Self complementary

6 vertices - Graphs are ordered by increasing number of edges in the left column.

X₁₆₃	co-(X₁₆₃)

3K₂	co-(3K₂)

P₂ P₄	co-(P₂ P₄)

2P₃	co-(2P₃)

C₄ 2K₁	co-(C₄ 2K₁)

K₂ claw = K₂ K_1,3	co-(K₂ claw)

cross = star_1,1,1,2	co-cross

H	co-(H)

C₄ P₂	co-(C₄ P₂)

E = star_1,2,2	co-(E) = co-star_1,2,2

K₃ P₃	K_3,3+e

P₆	co-(P₆)

co-(W₅) = C₅ K₁	W₅

co-fork K₁ = kite K₁	co-(co-fork K₁) = co-(kite K₁)

co-4-fan	4-fan

A	co-(A)

R	co-(R)

2K₃ = co-(K_3,3)	K_3,3

C₆	co-(C₆)

co-(X₉₈)	X₉₈ = twin₃-house

net = co-(S₃)	S₃

X₁₈	co-(X₁₈)

X₈₄	co-(X₈₄)

X₉₅	co-(X₉₅)

gem K₁	co-(gem K₁)

co-(W₄ K₁)	W₄ K₁

X₃₇	co-(X₃₇)

fish	co-fish

domino	co-domino

twin-C₅	co-twin-C₅ = co-(twin-C₅)

co-(X₅₈)	X₅₈

2K₃ + e = co-(K_3,3-e)	K_3,3-e

co-(X₅)	X₅

antenna	co-antenna

X₄₅	co-(X₄₅)

co-twin-house = co-(twin-house)	twin-house

X₉₆	co-(X₉₆)

7 vertices - Graphs are ordered by increasing number of edges in the left column.

A K₁	co-(A K₁)

net K₁	co-(net K₁)

T₂ = star_2,2,2	co-(T₂)

P₇	co-(P₇)

star_1,2,3 = skew-star	co-(star_1,2,3)

X₈₅	co-(X₈₅)

claw triangle	co-(claw triangle)

C₇	co-(C₇)

co-(X₁₂)	X₁₂

X₄₁	co-(X₄₁)

longhorn	co-longhorn

X₂	co-(X₂)

X₆	co-(X₆)

X₁₃₀	co-(X₁₃₀)

eiffeltower	co-eiffeltower

co-(X₁₁)	X₁₁

X₂₀	co-(X₂₀)

X₃₈	co-(X₃₈)

X₃	co-(X₃)

X₇	co-(X₇)

X₂₇	co-(X₂₇)

X₃₀	co-(X₃₀)

co-(X₉₀)	X₉₀

co-(X₁₀₆)	X₁₀₆

X₁₂₇	co-(X₁₂₇)

co-(X₁₂₈)	X₁₂₈

X₁₃₄	co-(X₁₃₄)

co-(X₁₆₂)	X₁₆₂

K_3,3 K₁	co-(K_3,3 K₁)

S₃ K₁	co-(S₃ K₁)

co-(X₄₂)	X₄₂

X₃₂	co-(X₃₂)

X₉	co-(X₉)

X₈	co-(X₈)

X₃₃	co-(X₃₃)

co-rising sun	rising sun

X₃₉	co-(X₃₉)

co-(X₄₆)	X₄₆

co-(X₁₅)	X₁₅

co-(W₆)	W₆

BW₃	co-(BW₃)

parapluie	parachute

co-(X₈₂)	X₈₂

co-(X₈₇)	X₈₇

co-(X₈₈)	X₈₈

co-(X₈₉)	X₈₉

X₉₂	co-(X₉₂)

co-(X₉₇)	X₉₇

co-(X₁₀₃)	X₁₀₃

co-(X₁₀₅)	X₁₀₅

X₁₂₉	co-(X₁₂₉)

X₁₃₂	co-(X₁₃₂)

co-(X₁₅₉)	X₁₅₉

X₁₃	co-(X₁₃)

X₃₆	co-(X₃₆)

X₃₅	co-(X₃₅)

co-(X₇₀)	X₇₀

co-(X₁₄)	X₁₄

co-(X₃₄)	X₃₄

X₄₀	co-(X₄₀)

co-(X₁)	X₁

X₁₀	co-(X₁₀)

co-(X₁₇)	X₁₇

X₃₁	co-(X₃₁)

co-(X₈₆)	X₈₆

X₉₃	co-(X₉₃)

X₉₉	co-(X₉₉)

X₁₀₀	co-(X₁₀₀) = co-(2P₃) K₁

X₁₀₁	co-(X₁₀₁)

X₁₀₂	co-(X₁₀₂)

X₁₀₄	co-X₁₀₄

co-(X₁₀₇)	X₁₀₇

co-(X₁₃₃)	X₁₃₃

8 vertices - Graphs are ordered by increasing number of edges in the left column.

co-(X₁₀₈) = C₇ K₁	X₁₀₈

2C₄	co-(2C₄)

X₁₉

sunlet₄	co-(sunlet₄)

C₈

X₇₁

X₇₇

X₁₅₂	co-(X₁₅₂)

X₇₄

X₂₉	co-(X₂₉)

co-(X₁₁₇)	X₁₁₇

co-(X₁₂₅) = X₃₅ K₁	X₁₂₅

X₂₂	co-(X₂₂)

X₂₆	co-(X₂₆)

X₂₅	co-(X₂₅)

co-(X₁₁₀) = co-(X₃₅) K₁	X₁₁₀

co-(X₁₁₄)	X₁₁₄

co-(X₁₁₆)	X₁₁₆

co-(X₅₃)	X₅₃

X₂₈	co-(X₂₈)

X₇₉	co-(X₇₉)

X₁₁₁	co-(X₁₁₁)

co-(X₁₁₅)	X₁₁₅

co-(X₁₁₉)	X₁₁₉

co-(X₁₂₄)	X₁₂₄

X₁₂₆	co-(X₁₂₆)

X₁₃₁	co-(X₁₃₁)

X₁₄₂	co-(X₁₄₂)

co-(X₁₅₀)	X₁₅₀

co-(X₅₂)	X₅₂

X₈₀	co-(X₈₀)

X₄₇	co-(X₄₇)

X₄₈	co-(X₄₈)

X₁₀₉	co-(X₁₀₉)

co-(X₁₁₈)	X₁₁₈

co-(X₁₂₀)	X₁₂₀

X₁₂₁	co-(X₁₂₁)

co-(X₁₂₃)	X₁₂₃

X₁₃₅	co-(X₁₃₅)

co-(X₁₃₇)	X₁₃₇

X₁₄₃	co-(X₁₄₃)

X₁₄₄	co-(X₁₄₄)

co-(X₁₄₉)	X₁₄₉

co-(X₁₅₁)	X₁₅₁

co-(X₁₆₁)	X₁₆₁

X₅₀	co-(X₅₀)

X₅₁	co-(X₅₁)

X₄₉	co-(X₄₉)

S₄
	Self complementary

X₈₃	co-(X₈₃)

X₁₁₂	co-(X₁₁₂)

X₁₁₃	co-(X₁₁₃)

X₁₂₂	co-(X₁₂₂)

X₁₃₆	co-(X₁₃₆)

X₁₄₅	co-(X₁₄₅)

X₁₄₆	co-(X₁₄₆)

X₁₄₇	co-(X₁₄₇)

X₁₄₈	co-(X₁₄₈)

X₁₆₀
	Self complementary

9 vertices - Graphs are ordered by increasing number of edges in the left column.

X₉₄	co-(X₉₄)

X₉₁	co-(X₉₁)

X₇₃

X₄₃

X₂₁

X₁₃₈	co-(X₁₃₈)

X₂₄

Contents

Graphs ordered alphabetically

Graphs ordered by number of vertices

3K1 = co-triangle

triangle = K3 = C3

co-(P3)

P3

4K1 = co-(K4)

K4 = W3

co-diamond

diamond = K4 - e = 2-fan

co-paw

paw = 3-pan

2K2 = co-(C4)

C4 = K2,2

claw = K1,3

co-claw

P4

co-(K5 - e) = 5K1 + e = K2 3K1

K5 - e

co-(W4)

W4

P2 P3

co-(P2 P3)

co-gem

gem = 3-fan

K3 2K1

co-(K3 2K1)

K1,4

co-(K1,4) = K4 K1

co-butterfly = C4 K1

butterfly

fork = chair

co-fork = kite = co-chair = co-(chair)

co-dart

dart

P5

house = co-(P5)

K2 K3 = co-(K2,3)

K2,3

P = 4-pan = banner

co-(P)

bull

cricket = K1,4+e

co-cricket = diamond K1

C5

X163

co-(X163)

3K2

co-(3K2)

P2 P4

co-(P2 P4)

2P3

co-(2P3)

C4 2K1

co-(C4 2K1)

K2 claw = K2 K1,3

co-(K2 claw)

cross = star1,1,1,2

co-cross

H

co-(H)

C4 P2

co-(C4 P2)

E = star1,2,2

co-(E) = co-star1,2,2

K3 P3

K3,3+e

P6

co-(P6)

co-(W5) = C5 K1

W5

co-fork K1 = kite K1

co-(co-fork K1) = co-(kite K1)

co-4-fan

4-fan

A

co-(A)

R

co-(R)

3K₁ = co-triangle

triangle = K₃ = C₃

co-(P₃)

P₃

4K₁ = co-(K₄)

K₄ = W₃

diamond = K₄ - e = 2-fan

2K₂ = co-(C₄)

C₄ = K_2,2

claw = K_1,3

P₄

co-(K₅ - e) = 5K₁ + e = K₂ 3K₁

K₅ - e

co-(W₄)

W₄

P₂ P₃

co-(P₂ P₃)

K₃ 2K₁

co-(K₃ 2K₁)

K_1,4

co-(K_1,4) = K₄ K₁

co-butterfly = C₄ K₁

P₅

house = co-(P₅)

K₂ K₃ = co-(K_2,3)

K_2,3

cricket = K_1,4+e

co-cricket = diamond K₁

C₅

X₁₆₃

co-(X₁₆₃)

3K₂

co-(3K₂)

P₂ P₄

co-(P₂ P₄)

2P₃

co-(2P₃)

C₄ 2K₁

co-(C₄ 2K₁)

K₂ claw = K₂ K_1,3

co-(K₂ claw)

cross = star_1,1,1,2

C₄ P₂

co-(C₄ P₂)

E = star_1,2,2

co-(E) = co-star_1,2,2

K₃ P₃

K_3,3+e

P₆

co-(P₆)

co-(W₅) = C₅ K₁

W₅

co-fork K₁ = kite K₁

co-(co-fork K₁) = co-(kite K₁)

2K₃ = co-(K_3,3)

K_3,3

C₆

co-(C₆)

co-(X₉₈)

X₉₈ = twin₃-house

net = co-(S₃)

S₃

X₁₈

co-(X₁₈)

X₈₄

co-(X₈₄)

X₉₅

co-(X₉₅)

gem K₁

co-(gem K₁)

co-(W₄ K₁)

W₄ K₁

X₃₇

co-(X₃₇)

twin-C₅

co-twin-C₅ = co-(twin-C₅)

co-(X₅₈)

X₅₈

2K₃ + e = co-(K_3,3-e)

K_3,3-e