russell@unturf.com
db29a08762
B&W print-friendly diagrams + tinkerpop-0001 + wave-3 proof sections. Squash of 94 local commits onto remote master.
76 lines
2.4 KiB
Text
76 lines
2.4 KiB
Text
digraph complexity {
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graph [
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bgcolor="white"
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fontname="Helvetica"
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fontsize=10
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rankdir=TB
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pad=0.3
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splines=ortho
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nodesep=0.6
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ranksep=0.7
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]
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node [
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fontname="Helvetica"
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fontsize=8
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style=filled
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fillcolor="white"
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color="black"
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penwidth=0.8
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shape=box
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margin="0.15,0.07"
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]
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edge [
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color="black"
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penwidth=0.6
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arrowsize=0.4
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fontname="Helvetica"
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fontsize=7
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fontcolor="black"
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]
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// BEFORE column — dashed border to mark defective
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subgraph cluster_before {
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label="BEFORE"
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fontsize=10
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fontcolor="black"
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color="black"
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penwidth=1.5
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style=dashed
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b_exp [label="O(E^D)\nexponential\nDependencySorter" penwidth=2.5]
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b_cub [label="O(n³)\nscala3 constraint" penwidth=2.0]
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b_quad [label="O(n²)\njavac Tarjan\nTypeScript checker\nCreate BFS\n..." penwidth=1.5]
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b_med [label="O(n·k)\nbounded defects\ncpython, gcc..." penwidth=0.8]
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}
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// AFTER column — solid border to mark fixed
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subgraph cluster_after {
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label="AFTER"
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fontsize=10
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fontcolor="black"
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color="black"
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penwidth=1.5
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a_lin [label="O(E)\nper isCyclic call\nvisited set"]
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a_quad2[label="O(n²)\nscala3 still complex\nbut inner loop O(1)" style="filled,dashed"]
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a_lin2 [label="O(V+E)\nTarjan fixed\nArrayDeque BFS"]
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a_lin3 [label="O(n)\nbounded + O(1) check"]
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}
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// Arrows — penwidth encodes speedup magnitude
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b_exp -> a_lin [label="add visited set" penwidth=2.0 style=bold]
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b_cub -> a_quad2[label="inner O(1)" penwidth=1.2]
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b_quad -> a_lin2 [label="Set / ArrayDeque" penwidth=2.0 style=bold]
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b_med -> a_lin3 [label="HashSet" penwidth=1.2]
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// Speedup labels on right
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s1 [label="88x at depth 14\n\u221e at depth 16" shape=plaintext fontsize=8 fontcolor="black"]
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s2 [label="— (still O(n²))\nbut bounded" shape=plaintext fontsize=8 fontcolor="black"]
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s3 [label="23x at V=800\n401x fewer comparisons" shape=plaintext fontsize=8 fontcolor="black"]
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s4 [label="2–4x typical" shape=plaintext fontsize=8 fontcolor="black"]
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a_lin -> s1 [style=invis]
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a_quad2-> s2 [style=invis]
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a_lin2 -> s3 [style=invis]
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a_lin3 -> s4 [style=invis]
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}
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