DistanceRegular.org

A to Z index of graphs

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N•

O•

P•

R•

S•

T•

U•

V•

W•

Z

A

• Affine Polar Graphs
• Armanios–Wells graph
• Antipodal Covers of Complete Graphs
• Antipodal 3-cover of Zara graph
• $\mathrm{Aut(Sz(8))}$ graph

B

• Berlekamp–van Lint–Seidel graph
• Biggs–Smith graph
• Bilinear forms graphs
• Brouwer–Haemers graph

C

• Cameron graph
• Chang graphs
• Clebsch graph
• Cocliques in Hall–Janko graph
• Cocliques in Hoffman–Singleton graph
• Cohen–Tits near octagon
• Conway graph on 1408 vertices
• Conway graph on 2300 vertices
• Conway–Smith graph
• Coolsaet–Degraer 3-cover of $K_{14}$
• Coxeter graph
• Crown graphs $K_{n,n}-I$

D

• Delsarte graph
• Desargues graph
• Distance-3 graph of Heawood graph
• Dodecad graph
• Dodecahedron
• Doro graph
• Doubled graphs
• Doubled Grassmann graph $\mathrm{DJ}_2(5,2)$
• Doubled Grassmann graph $\mathrm{DJ}_3(5,2)$
• Doubly truncated Witt graph
• Dual polar graphs

F

• Faradžev–Klin–Muzychuk graph from $\mathrm{L}_3(3)$
• $\mathrm{Fi}_{22}$ graph
• Flag graph of $GQ(3,3)$
• Flag graph of $GQ(4,4)$
• Flag graph of $PG(2,3)$
• Flag graph of $PG(2,4)$
• Flag graph of $PG(2,5)$
• Finite Orthogonal graphs
• Folded cube graphs
• Folded Johnson graphs
• Foster graph

G

• Games graph
• Gewirtz graph
• Goethals–Seidel graph
• Goethals graph
• Gosset graph
• (Distance-2 graph of) Gosset graph
• Graphs from Golay codes and Witt designs
• Grassmann graphs
• Gritsenko graph
• $GQ(2,4)$ minus spread
• $\mathrm{G}_2(2)$ graph
• $\mathrm{G}_2(4)$ graph

H

• $\mathrm{H}_q(d,e)$ graphs
• Hadamard graph on 32 vertices
• Hadamard graph on 48 vertices
• Half dual polar graph $\mathrm{D}_{5,5}(2)$
• Hall graph
• Hall–Janko graph
• Hall–Janko near octagon
• Halved cubes
• Halved folded 8-cube
• Halved folded 10-cube
• Halved folded 12-cube
• Halved Foster graph
• Halved Leonard graph
• Hamming graphs
• Heawood graph
• (Distance-3 graph of) Heawood graph
• Hexacode graph
• Higman–Sims graph
• (Polarity of) Higman's symmetric design
• Hoffman–Singleton graph
• 2^nd Subconstituent of Hoffman–Singleton graph
• (Cocliques in) Hoffman–Singleton graph
• Hypercube graphs: $H(d,2)$

I

• Icosahedron
• Incidence graphs
• Ivanov–Ivanov–Faradjev graph

J

• Johnson graphs
• Jørgensen–Klin graph

K

• Klein graph
• $K_{n,n}-I$
• Kneser graphs
• Koolen–Riebeek graph

L

• $2^8.\mathrm{L}_2(17)$ graph
• $\mathrm{L}_3(4).2^2$ graph
• Leonard graph
• Line graphs
• Livingstone graph

M

• $2^{11}.\mathrm{M}_{24}$ graphs on 2048 vertices
• Mathon–Rosa graph
• $\mathrm{M}_{22}$ graph
• $\mathrm{M}_{23}$ graph
• McLaughlin graph
• 1^st Subconstituent of McLaughlin graph
• 2^nd Subconstituent of McLaughlin graph
• Meixner 2-cover of $U_6(2)$ graph
• Meixner 4-cover of $U_6(2)$ graph
• Merged Johnson graphs
• Moscow–Soicher graph

N

Nonisotropic Orthogonal Graphs

Nonisotropic Unitary Graphs

Norton–Smith graph

$\mathrm{NO}_{2m}^{\pm}(2)$ graphs

$\mathrm{NO}_{2m}^{\pm}(3)$ graphs

$\mathrm{NO}_{2m+1}^{\pm \perp}(3)$ graphs

$\mathrm{NO}_{2m+1}^{\pm}(q)$ graphs

$\mathrm{NO}_{2m+1}^{\pm \perp}(5)$ graphs

$\mathrm{NU}_n(q)$ graphs

O

• Octahedron
• Odd graphs
• $\mathrm{O}_{2n}^+(q)$ graphs
• $\mathrm{O}_{2n+1}(q)$ graphs
• $\mathrm{O}_{2n+2}^-(q)$ graphs

P

• Paley graphs
• Pappus graph
• Paulus graphs (25 vertices)
• Paulus graphs (26 vertices)
• Peisert graphs
• Perkel graph
• Petersen graph
• Point graphs of $GH(2,2)$ and its dual
• Point graph of $GH(3,3)$
• Point graphs of $GQ(3,3)$s
• Point graph of $GQ(3,5)$
• Point graph of $GQ(4,2)$
• Point graph of $GQ(4,4)$
• Point graph of $\mathrm{GQ}(4,8)$
• Point graph of $\mathrm{GQ}(4,16)$
• Point graphs of $\mathrm{GQ}(5,5)$s
• Point graph of $\mathrm{GQ}(5,25)$
• Point graphs of $\mathrm{GQ}(7,7)$s
• Point graph of $\mathrm{GQ}(8,4)$
• Point graph of $\mathrm{GQ}(8,8)$
• Point graph of $GQ(9,3)$
• Point graphs of $\mathrm{GQ}(9,9)$s
• Point graph of $\mathrm{GQ}(9,27)$

R

• Rank-3 graphs on 169 vertices
• Rank-3 graphs on 361 vertices
• Rank-3 graphs on 625 vertices
• Rank-3 graphs on 841 vertices
• Rank-3 graphs on 961 vertices
• Rank-3 graphs on 1024 vertices
• Rank-3 graphs on 2209 vertices
• Rank-3 graphs on 2401 vertices
• Rank-3 $\mathrm{SRG}(169,72,31,30)$
• Rank-3 $\mathrm{SRG}(361,144,59,56)$
• Rank-3 $\mathrm{SRG}(841,168,47,30)$
• Ree–Tits generalized octagon, $GO(2,4)$
• Rijeka graph
• Rook's graphs: $H(2,q)$
• Rudvalis graph

S

• Schläfli graph
• Shi–Krotov–Solé graph
• Shrikhande graph
• Sims–Gewirtz graph
• Soicher's 1^st graph
• Soicher's 2^nd graph
• Soicher's 3^rd graph
• $\mathrm{Sp}_6(2)$ graph
• $\mathrm{Sp}_6(3)$ graph
• $\mathrm{Sp}_6(5)$ graph
• $\mathrm{Sp}_8(2)$ graph
• $\mathrm{Sp}_8(3)$ graph
• $\mathrm{Sp}_{10}(2)$ graph
• Sporadic Peisert graph on 529 vertices
• Square lattice graphs: $H(2,q)$
• $\mathrm{SRG}(29,14,6,7)$
• $\mathrm{SRG}(176,70,18,34)$
• $\mathrm{SRG}(176,105,68,54)$
• $\mathrm{SRG}(1600,351,94,72)$ from Tits Group $\phantom{.}^2 F_4(2)'$
• Suetake graph
• Suzuki graph
• Sylvester graph
• Symplectic 3-cover of $K_{14}$
• Symplectic 3-cover of $K_{17}$
• Symplectic 5-cover of $K_{12}$
• Symplectic 5-cover of $K_{17}$
• Symplectic 7-cover of $K_9$

T

• Taylor graphs
• Trsat graphs
• Truncated Witt graph
• Tutte's 8-cage
• Tutte's 12-cage

U

• Unitals in $PG(2,4)$
• Unitary graph from $\mathrm{P} \Gamma \mathrm{U}(3,4)$
• Unitary graph from $\mathrm{P} \Gamma \mathrm{U}(3,5)$
• $\mathrm{U}(5,2)$ graph
• $\mathrm{U}_6(2)$ polar graph

V

• Van Lint–Schrijver graphs
• $\mathrm{VNO}_{2m}^{\pm}(q)$ graphs
• $\mathrm{VO}_{2m}^{\pm}(q)$ graphs

W

• Wells graph
• Witt graph

Z

• Zara graph