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On this page are computer-accessible forms for the graph C4[ 96, 11 ] = MPS(4,48;11).

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {48, 54}, {64, 75}, {68, 79}, {64, 76}, {65, 77}, {66, 78}, {67, 79}, {65, 76}, {67, 78}, {66, 77}, {32, 51}, {36, 55}, {40, 59}, {44, 63}, {68, 80}, {71, 83}, {69, 81}, {70, 82}, {33, 52}, {71, 82}, {35, 54}, {41, 60}, {43, 62}, {69, 80}, {8, 31}, {34, 53}, {42, 61}, {70, 81}, {1, 25}, {2, 26}, {3, 27}, {4, 28}, {5, 29}, {6, 30}, {7, 31}, {3, 26}, {5, 28}, {7, 30}, {43, 49}, {46, 52}, {47, 53}, {2, 25}, {72, 83}, {6, 29}, {72, 84}, {37, 56}, {39, 58}, {32, 62}, {33, 63}, {44, 50}, {45, 51}, {4, 27}, {38, 57}, {26, 56}, {27, 57}, {30, 60}, {31, 61}, {28, 58}, {29, 59}, {8, 32}, {24, 48}, {9, 33}, {10, 34}, {11, 35}, {12, 36}, {13, 37}, {14, 38}, {15, 39}, {9, 32}, {11, 34}, {13, 36}, {15, 38}, {10, 33}, {14, 37}, {31, 50}, {25, 55}, {12, 35}, {30, 49}, {1, 48}, {16, 39}, {24, 47}, {16, 40}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {17, 40}, {23, 46}, {21, 44}, {19, 42}, {18, 41}, {22, 45}, {20, 43}, {8, 74}, {24, 90}, {21, 87}, {20, 86}, {9, 75}, {12, 78}, {13, 79}, {16, 82}, {17, 83}, {10, 76}, {19, 85}, {18, 84}, {11, 77}, {2, 79}, {18, 95}, {16, 93}, {7, 73}, {23, 89}, {22, 88}, {1, 78}, {17, 94}, {3, 80}, {7, 84}, {11, 88}, {15, 92}, {4, 81}, {29, 72}, {24, 77}, {6, 83}, {12, 89}, {14, 91}, {5, 82}, {13, 90}, {1, 91}, {4, 94}, {5, 95}, {23, 76}, {28, 71}, {60, 96}, {8, 85}, {27, 70}, {25, 68}, {22, 75}, {20, 73}, {10, 87}, {61, 96}, {2, 92}, {3, 93}, {14, 80}, {15, 81}, {9, 86}, {26, 69}, {21, 74}, {34, 64}, {35, 65}, {38, 68}, {39, 69}, {42, 72}, {52, 87}, {56, 91}, {60, 95}, {49, 85}, {50, 86}, {51, 87}, {56, 92}, {57, 93}, {58, 94}, {59, 95}, {49, 84}, {51, 86}, {57, 92}, {59, 94}, {6, 96}, {36, 66}, {37, 67}, {50, 85}, {58, 93}, {52, 88}, {53, 89}, {54, 90}, {55, 91}, {45, 64}, {47, 66}, {53, 88}, {55, 90}, {40, 70}, {41, 71}, {46, 65}, {54, 89}, {19, 96}, {48, 67}, {61, 73}, {62, 74}, {63, 75}, {63, 74}, {62, 73} }>;

(II) A more general form is to represent the graph as the orbit of {48, 54} under the group generated by the following permutations:

a: (12, 54)(24, 66)(36, 90)(48, 78)
b: (3, 57)(15, 69)(26, 92)(38, 80)
c: (5, 17)(28, 94)(29, 83)(40, 82)(41, 95)(59, 71)
d: (9, 21)(32, 74)(33, 87)(44, 86)(45, 75)(51, 63)
e: (6, 60)(18, 72)(29, 95)(41, 83)
f: (10, 52)(22, 64)(34, 88)(46, 76)
g: (12, 24)(35, 77)(36, 90)(47, 89)(48, 78)(54, 66)
h: (8, 50)(20, 62)(32, 86)(44, 74)
m: (6, 18)(29, 95)(30, 84)(41, 83)(42, 96)(60, 72)
n1: (7, 49)(19, 61)(31, 85)(43, 73)
a1: (11, 53)(23, 65)(35, 89)(47, 77)
b1: (7, 19)(30, 96)(31, 85)(42, 84)(43, 73)(49, 61)
c1: (1, 25, 2, 26, 3, 27, 4, 28, 5, 29, 6, 30, 7, 31, 8, 32, 9, 33, 10, 34, 11, 35, 12, 36, 13, 37, 14, 38, 15, 39, 16, 40, 17, 41, 18, 42, 19, 43, 20, 44, 21, 45, 22, 46, 23, 47, 24, 48)(49, 73, 50, 74, 51, 75, 52, 76, 53, 77, 54, 78, 55, 79, 56, 80, 57, 81, 58, 82, 59, 83, 60, 84, 61, 85, 62, 86, 63, 87, 64, 88, 65, 89, 66, 90, 67, 91, 68, 92, 69, 93, 70, 94, 71, 95, 72, 96)
d1: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(14, 24)(15, 23)(16, 22)(17, 21)(18, 20)(25, 78)(26, 35)(27, 34)(28, 33)(29, 32)(30, 31)(36, 79)(37, 90)(38, 47)(39, 46)(40, 45)(41, 44)(42, 43)(48, 91)(49, 61)(50, 60)(51, 59)(52, 58)(53, 57)(54, 56)(55, 67)(62, 72)(63, 71)(64, 70)(65, 69)(66, 68)(73, 84)(74, 83)(75, 82)(76, 81)(77, 80)(85, 96)(86, 95)(87, 94)(88, 93)(89, 92)
e1: (11, 23)(34, 76)(35, 89)(46, 88)(47, 77)(53, 65)
f1: (8, 20)(31, 73)(32, 86)(43, 85)(44, 74)(50, 62)
g1: (5, 59)(17, 71)(28, 94)(40, 82)
h1: (4, 58)(16, 70)(27, 93)(39, 81)
m1: (10, 22)(33, 75)(34, 88)(45, 87)(46, 76)(52, 64)
n2: (9, 51)(21, 63)(33, 87)(45, 75)
a2: (1, 2)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(13, 14)(15, 24)(16, 23)(17, 22)(18, 21)(19, 20)(26, 78)(27, 35)(28, 34)(29, 33)(30, 32)(36, 80)(38, 90)(39, 47)(40, 46)(41, 45)(42, 44)(48, 92)(49, 62)(50, 61)(51, 60)(52, 59)(53, 58)(54, 57)(55, 68)(56, 67)(63, 72)(64, 71)(65, 70)(66, 69)(73, 85)(74, 84)(75, 83)(76, 82)(77, 81)(79, 91)(86, 96)(87, 95)(88, 94)(89, 93)
b2: (4, 16)(27, 93)(28, 82)(39, 81)(40, 94)(58, 70)
c2: (3, 15)(26, 92)(27, 81)(38, 80)(39, 93)(57, 69)

(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.

**************

&Graph
C4[ 96, 11 ]
96
-1 78 25 91 48
-2 79 25 26 92
-3 80 26 27 93
-4 81 27 28 94
-5 82 28 29 95
-6 83 29 30 96
-7 73 84 30 31
-8 74 85 31 32
-9 33 75 86 32
-10 33 34 76 87
-11 77 88 34 35
-12 78 89 35 36
-13 79 90 36 37
-14 80 91 37 38
-15 81 92 38 39
-16 82 93 39 40
-17 83 94 40 41
-18 84 95 41 42
-19 85 96 42 43
-20 44 73 86 43
-21 44 45 74 87
-22 88 45 46 75
-23 89 46 47 76
-24 77 90 47 48
-25 55 1 2 68
-26 56 2 3 69
-27 57 3 4 70
-28 58 4 5 71
-29 59 5 6 72
-30 49 60 6 7
-31 50 61 7 8
-32 51 62 8 9
-33 52 63 9 10
-34 11 53 64 10
-35 11 12 54 65
-36 55 66 12 13
-37 56 67 13 14
-38 57 68 14 15
-39 58 69 15 16
-40 59 70 16 17
-41 60 71 17 18
-42 61 72 18 19
-43 49 62 19 20
-44 50 63 20 21
-45 22 51 64 21
-46 22 23 52 65
-47 66 23 24 53
-48 1 67 24 54
-49 84 30 85 43
-50 44 85 31 86
-51 45 86 32 87
-52 33 88 46 87
-53 88 34 89 47
-54 89 35 90 48
-55 90 25 36 91
-56 91 26 37 92
-57 92 27 38 93
-58 93 28 39 94
-59 94 29 40 95
-60 95 30 41 96
-61 73 96 31 42
-62 73 74 32 43
-63 33 44 74 75
-64 34 45 75 76
-65 77 35 46 76
-66 77 78 36 47
-67 78 79 37 48
-68 79 25 80 38
-69 80 26 81 39
-70 81 27 82 40
-71 82 28 83 41
-72 83 29 84 42
-73 61 7 62 20
-74 62 8 63 21
-75 22 63 9 64
-76 23 64 10 65
-77 11 66 24 65
-78 66 1 12 67
-79 67 2 13 68
-80 68 3 14 69
-81 69 4 15 70
-82 70 5 16 71
-83 71 6 17 72
-84 49 72 7 18
-85 49 50 8 19
-86 50 51 9 20
-87 51 52 10 21
-88 11 22 52 53
-89 12 23 53 54
-90 55 13 24 54
-91 55 1 56 14
-92 56 2 57 15
-93 57 3 58 16
-94 58 4 59 17
-95 59 5 60 18
-96 60 6 61 19
0

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