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On this page are computer-accessible forms for the graph C4[ 88, 4 ] = R_44(24,23).

(I) Following is a form readable by MAGMA:

g:=Graph<88|{ {2, 3}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {1, 2}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {3, 4}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {7, 8}, {23, 24}, {39, 40}, {32, 52}, {33, 53}, {34, 54}, {35, 55}, {40, 60}, {41, 61}, {42, 62}, {43, 63}, {64, 85}, {66, 87}, {64, 87}, {65, 86}, {65, 88}, {67, 88}, {36, 56}, {37, 57}, {38, 58}, {39, 59}, {15, 16}, {1, 45}, {28, 48}, {19, 63}, {18, 62}, {2, 46}, {3, 47}, {16, 60}, {17, 61}, {29, 49}, {30, 50}, {31, 51}, {1, 44}, {4, 48}, {27, 47}, {26, 46}, {25, 45}, {5, 49}, {6, 50}, {7, 51}, {12, 56}, {13, 57}, {14, 58}, {15, 59}, {8, 52}, {9, 53}, {10, 54}, {11, 55}, {31, 32}, {1, 65}, {24, 88}, {23, 87}, {22, 86}, {21, 85}, {20, 84}, {19, 83}, {18, 82}, {2, 66}, {3, 67}, {4, 68}, {5, 69}, {6, 70}, {7, 71}, {8, 72}, {9, 73}, {10, 74}, {11, 75}, {12, 76}, {13, 77}, {14, 78}, {15, 79}, {16, 80}, {17, 81}, {20, 64}, {28, 72}, {23, 67}, {22, 66}, {21, 65}, {29, 73}, {30, 74}, {31, 75}, {24, 68}, {27, 71}, {26, 70}, {25, 69}, {45, 68}, {63, 86}, {61, 84}, {59, 82}, {47, 70}, {57, 80}, {46, 69}, {63, 84}, {62, 85}, {59, 80}, {58, 81}, {47, 68}, {32, 76}, {33, 77}, {34, 78}, {35, 79}, {44, 64}, {46, 67}, {62, 83}, {60, 81}, {45, 66}, {61, 82}, {60, 83}, {36, 80}, {37, 81}, {38, 82}, {39, 83}, {44, 88}, {48, 69}, {58, 79}, {50, 71}, {56, 77}, {48, 71}, {49, 70}, {56, 79}, {57, 78}, {49, 72}, {51, 74}, {53, 76}, {55, 78}, {50, 73}, {51, 72}, {54, 77}, {55, 76}, {40, 84}, {41, 85}, {42, 86}, {43, 87}, {52, 73}, {54, 75}, {52, 75}, {53, 74} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (19, 62)(20, 85)(41, 84)(42, 63)
b: (12, 55)(13, 35)(14, 79)(34, 77)(36, 57)(56, 78)
c: (21, 64)(22, 87)(43, 86)(44, 65)
d: (14, 57)(15, 37)(16, 81)(36, 79)(38, 59)(58, 80)
e: (13, 56)(14, 79)(35, 78)(36, 57)
f: (16, 59)(17, 39)(18, 83)(38, 81)(40, 61)(60, 82)
g: (2, 65)(3, 21)(4, 20)(5, 19)(6, 18)(7, 17)(8, 16)(9, 15)(10, 14)(11, 13)(22, 67)(24, 87)(25, 43)(26, 42)(27, 41)(28, 40)(29, 39)(30, 38)(31, 37)(32, 36)(33, 35)(44, 45)(46, 86)(47, 85)(48, 84)(49, 83)(50, 82)(51, 81)(52, 80)(53, 79)(54, 78)(55, 77)(56, 76)(57, 75)(58, 74)(59, 73)(60, 72)(61, 71)(62, 70)(63, 69)(64, 68)(66, 88)
h: (18, 61)(19, 41)(20, 85)(40, 83)(42, 63)(62, 84)
m: (6, 49)(7, 29)(8, 73)(28, 71)(30, 51)(50, 72)
n1: (17, 60)(18, 83)(39, 82)(40, 61)
a1: (9, 52)(10, 75)(31, 74)(32, 53)
b1: (15, 58)(16, 81)(37, 80)(38, 59)
c1: (5, 48)(6, 71)(27, 70)(28, 49)
d1: (20, 63)(21, 43)(22, 87)(42, 85)(44, 65)(64, 86)
e1: (4, 47)(5, 27)(6, 71)(26, 69)(28, 49)(48, 70)
f1: (10, 53)(11, 33)(12, 77)(32, 75)(34, 55)(54, 76)
g1: (11, 54)(12, 77)(33, 76)(34, 55)
h1: (8, 51)(9, 31)(10, 75)(30, 73)(32, 53)(52, 74)
m1: (7, 50)(8, 73)(29, 72)(30, 51)
n2: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44)(45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 88, 4 ]
88
-1 44 45 2 65
-2 66 1 46 3
-3 67 2 47 4
-4 68 3 48 5
-5 69 4 49 6
-6 70 5 50 7
-7 71 6 51 8
-8 72 7 52 9
-9 73 8 53 10
-10 11 74 9 54
-11 55 12 75 10
-12 11 56 13 76
-13 77 12 57 14
-14 78 13 58 15
-15 79 14 59 16
-16 80 15 60 17
-17 81 16 61 18
-18 82 17 62 19
-19 83 18 63 20
-20 84 19 64 21
-21 22 85 20 65
-22 66 23 86 21
-23 22 67 24 87
-24 88 23 68 25
-25 45 24 69 26
-26 46 25 70 27
-27 47 26 71 28
-28 48 27 72 29
-29 49 28 73 30
-30 50 29 74 31
-31 51 30 75 32
-32 33 52 31 76
-33 77 34 53 32
-34 33 78 35 54
-35 55 34 79 36
-36 56 35 80 37
-37 57 36 81 38
-38 58 37 82 39
-39 59 38 83 40
-40 60 39 84 41
-41 61 40 85 42
-42 62 41 86 43
-43 44 63 42 87
-44 88 1 64 43
-45 66 1 68 25
-46 67 2 69 26
-47 68 3 70 27
-48 69 4 71 28
-49 70 5 72 29
-50 71 6 73 30
-51 72 7 74 31
-52 73 8 75 32
-53 33 74 9 76
-54 77 34 75 10
-55 11 78 35 76
-56 77 12 79 36
-57 78 13 80 37
-58 79 14 81 38
-59 80 15 82 39
-60 81 16 83 40
-61 82 17 84 41
-62 83 18 85 42
-63 84 19 86 43
-64 44 85 20 87
-65 88 1 86 21
-66 22 45 2 87
-67 88 23 46 3
-68 45 24 47 4
-69 46 25 48 5
-70 47 26 49 6
-71 48 27 50 7
-72 49 28 51 8
-73 50 29 52 9
-74 51 30 53 10
-75 11 52 31 54
-76 55 12 53 32
-77 33 56 13 54
-78 55 34 57 14
-79 56 35 58 15
-80 57 36 59 16
-81 58 37 60 17
-82 59 38 61 18
-83 60 39 62 19
-84 61 40 63 20
-85 62 41 64 21
-86 22 63 42 65
-87 66 23 64 43
-88 44 67 24 65
0

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