Here is the data from sampling graphs of different sizes. My computer sampled
graphs per line. I used the same probability distribution as before.
Graph with 0 randomly connected vertices: cop wins = 0.00000000, Killer wins = 1.00000000, Stalemate = 0.00000000, c/k = 0.00000000
Graph with 1 randomly connected vertices: cop wins = 1.00000000, Killer wins = 0.00000000, Stalemate = 0.00000000, c/k = undefined
Graph with 2 randomly connected vertices: cop wins = 0.50053406, Killer wins = 0.00000000, Stalemate = 0.49946594, c/k = undefined
Graph with 3 randomly connected vertices: cop wins = 0.49921417, Killer wins = 0.00000000, Stalemate = 0.50078583, c/k = undefined
Graph with 4 randomly connected vertices: cop wins = 0.35897446, Killer wins = 0.23530960, Stalemate = 0.40571594, c/k = 1.52554106
Graph with 5 randomly connected vertices: cop wins = 0.51399612, Killer wins = 0.18651199, Stalemate = 0.29949188, c/k = 2.75583417
Graph with 6 randomly connected vertices: cop wins = 0.59717941, Killer wins = 0.14399338, Stalemate = 0.25882721, c/k = 4.14726998
Graph with 7 randomly connected vertices: cop wins = 0.56398010, Killer wins = 0.16167450, Stalemate = 0.27434540, c/k = 3.48836770
Graph with 8 randomly connected vertices: cop wins = 0.50770950, Killer wins = 0.17130661, Stalemate = 0.32098389, c/k = 2.96374730
Graph with 9 randomly connected vertices: cop wins = 0.46680832, Killer wins = 0.14250946, Stalemate = 0.39068222, c/k = 3.27563039
Graph with 10 randomly connected vertices: cop wins = 0.40661621, Killer wins = 0.10855865, Stalemate = 0.48482513, c/k = 3.74558999
Graph with 11 randomly connected vertices: cop wins = 0.32224655, Killer wins = 0.08357620, Stalemate = 0.59417725, c/k = 3.85572139
Graph with 12 randomly connected vertices: cop wins = 0.23744202, Killer wins = 0.06438828, Stalemate = 0.69816971, c/k = 3.68765922
Graph with 13 randomly connected vertices: cop wins = 0.16868591, Killer wins = 0.04470825, Stalemate = 0.78660583, c/k = 3.77303754
Graph with 14 randomly connected vertices: cop wins = 0.11313248, Killer wins = 0.02751923, Stalemate = 0.85934830, c/k = 4.11103410
Graph with 15 randomly connected vertices: cop wins = 0.06971359, Killer wins = 0.01540375, Stalemate = 0.91488266, c/k = 4.52575532
Graph with 16 randomly connected vertices: cop wins = 0.03997421, Killer wins = 0.00838089, Stalemate = 0.95164490, c/k = 4.76968594
Graph with 17 randomly connected vertices: cop wins = 0.02136993, Killer wins = 0.00414276, Stalemate = 0.97448730, c/k = 5.15837937
Graph with 18 randomly connected vertices: cop wins = 0.01006317, Killer wins = 0.00192261, Stalemate = 0.98801422, c/k = 5.23412698
Graph with 19 randomly connected vertices: cop wins = 0.00452423, Killer wins = 0.00077820, Stalemate = 0.99469757, c/k = 5.81372549
Graph with 20 randomly connected vertices: cop wins = 0.00176239, Killer wins = 0.00029373, Stalemate = 0.99794388, c/k = 6.00000000
Graph with 21 randomly connected vertices: cop wins = 0.00075912, Killer wins = 0.00012970, Stalemate = 0.99911118, c/k = 5.85294118
Graph with 22 randomly connected vertices: cop wins = 0.00030899, Killer wins = 0.00002289, Stalemate = 0.99966812, c/k = 13.50000000
Graph with 23 randomly connected vertices: cop wins = 0.00005341, Killer wins = 0.00001526, Stalemate = 0.99993134, c/k = 3.50000000
Graph with 24 randomly connected vertices: cop wins = 0.00003052, Killer wins = 0.00001144, Stalemate = 0.99995804, c/k = 2.66666667
Graph with 25 randomly connected vertices: cop wins = 0.00000381, Killer wins = 0.00000000, Stalemate = 0.99999619, c/k = undefined
Graph with 26 randomly connected vertices: cop wins = 0.00000381, Killer wins = 0.00000000, Stalemate = 0.99999619, c/k = undefined
Graph with 27 randomly connected vertices: cop wins = 0.00000381, Killer wins = 0.00000000, Stalemate = 0.99999619, c/k = undefined
per line. I will post the completed results tomorrow.