File:AvlTreeExample.svg
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Size of this PNG preview of this SVG file: 700 × 386 pixels. Other resolutions: 320 × 176 pixels | 640 × 353 pixels | 1,024 × 565 pixels | 1,280 × 706 pixels | 2,560 × 1,412 pixels.
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Summary
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| Description |
English: An example of adding numbers into an AVL tree. |
| Date | |
| Source | Own work |
| Author | Dirk Hünniger |
Licensing
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I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
How I made it
[edit]
I used graphviz to draw the graph and postprocessed it with inkscape. here is the source file for the dot program which is part of graphviz.
digraph G {
//size="5,5"
//ratio=compress
//compound=true;
subgraph clusterb1 {
label="before first roation (single) ";
node [shape="record"];
b110[label="<f0>|<f1> 10|<f2>",style=filled,color=grey];
b120[label="<f0>|<f1> 20|<f2>"];
b115[label="<f0>|<f1> 15|<f2>"];
b110:f2->b120;
b120:f0->b115;
}
subgraph clustera1{
label="after first roation";
node [shape="record"];
a110[label="<f0>|<f1> 10|<f2>"];
a120[label="<f0>|<f1> 20|<f2>"];
a115[label="<f0>|<f1> 15|<f2>"];
a115:f0->a110;
a115:f2->a120;
}
subgraph clusterb2{
rankdir="TB"
label="before second roation (single)";
node [shape="record"];
b210[label="<f0>|<f1> 10|<f2>"];
b220[label="<f0>|<f1> 20|<f2>",style=filled,color=grey];
b215[label="<f0>|<f1> 15|<f2>"];
b231[label="<f0>|<f1> 31|<f2>"];
b255[label="<f0>|<f1> 55|<f2>"];
b215:f0->b210;
b215:f2->b220;
b220:f2->b231;
b231:f2->b255;
}
subgraph clustera2{
rankdir="TB"
label="after second roation";
node [shape="record"];
a210[label="<f0>|<f1> 10|<f2>"];
a220[label="<f0>|<f1> 20|<f2>"];
a215[label="<f0>|<f1> 15|<f2>"];
a231[label="<f0>|<f1> 31|<f2>"];
a255[label="<f0>|<f1> 55|<f2>"];
a215:f0->a210;
a215:f2->a231;
a231:f2->a255;
a231:f0->a220;
}
subgraph clusterb3{
rankdir="TB"
label="before third roation (double)";
node [shape="record"];
b310[label="<f0>|<f1> 10|<f2>"];
b320[label="<f0>|<f1> 20|<f2>"];
b315[label="<f0>|<f1> 15|<f2>",style=filled,color=grey];
b331[label="<f0>|<f1> 31|<f2>"];
b355[label="<f0>|<f1> 55|<f2>"];
b319[label="<f0>|<f1> 19|<f2>"];
b315:f0->b310;
b315:f2->b331;
b331:f2->b355;
b331:f0->b320;
b320:f0->b319;
}
subgraph clustera3{
rankdir="TB"
label="after third roation";
node [shape="record"];
a310[label="<f0>|<f1> 10|<f2>"];
a320[label="<f0>|<f1> 20|<f2>"];
a315[label="<f0>|<f1> 15|<f2>"];
a331[label="<f0>|<f1> 31|<f2>"];
a355[label="<f0>|<f1> 55|<f2>"];
a319[label="<f0>|<f1> 19|<f2>"];
a320:f0->a315;
a320:f2->a331;
a331:f2->a355;
a315:f0->a310;
a315:f2->a319;
}
subgraph clusterb4{
rankdir="TB"
label="before fourth roation (single)";
node [shape="record"];
b410[label="<f0>|<f1> 10|<f2>",style=filled,color=grey];
b420[label="<f0>|<f1> 20|<f2>"];
b415[label="<f0>|<f1> 15|<f2>"];
b431[label="<f0>|<f1> 31|<f2>"];
b455[label="<f0>|<f1> 55|<f2>"];
b419[label="<f0>|<f1> 19|<f2>"];
b408[label="<f0>|<f1> 8|<f2>"];
b404[label="<f0>|<f1> 4|<f2>"];
b420:f0->b415;
b420:f2->b431;
b431:f2->b455;
b415:f0->b410;
b415:f2->b419;
b410:f0->b408;
b408:f0->b404;
}
subgraph clustera4{
rankdir="TB"
label="after fourth roation";
node [shape="record"];
a410[label="<f0>|<f1> 10|<f2>"];
a420[label="<f0>|<f1> 20|<f2>"];
a415[label="<f0>|<f1> 15|<f2>"];
a431[label="<f0>|<f1> 31|<f2>"];
a455[label="<f0>|<f1> 55|<f2>"];
a419[label="<f0>|<f1> 19|<f2>"];
a408[label="<f0>|<f1> 8|<f2>"];
a404[label="<f0>|<f1> 4|<f2>"];
a420:f0->a415;
a420:f2->a431;
a431:f2->a455;
a415:f0->a408;
a415:f2->a419;
a408:f2->a410;
a408:f0->a404;
}
subgraph clusterb5{
rankdir="TB"
label="before fifth roation (double)";
node [shape="record"];
b510[label="<f0>|<f1> 10|<f2>"];
b520[label="<f0>|<f1> 20|<f2>"];
b515[label="<f0>|<f1> 15|<f2>",style=filled,color=grey];
b531[label="<f0>|<f1> 31|<f2>"];
b555[label="<f0>|<f1> 55|<f2>"];
b519[label="<f0>|<f1> 19|<f2>"];
b508[label="<f0>|<f1> 8|<f2>"];
b504[label="<f0>|<f1> 4|<f2>"];
b511[label="<f0>|<f1>11|<f2>"];
b520:f0->b515;
b520:f2->b531;
b531:f2->b555;
b515:f0->b508;
b515:f2->b519;
b508:f2->b510;
b508:f0->b504;
b510:f2->b511;
}
subgraph clustera5{
rankdir="TB"
label="after fifth roation";
node [shape="record"];
a510[label="<f0>|<f1> 10|<f2>"];
a520[label="<f0>|<f1> 20|<f2>"];
a515[label="<f0>|<f1> 15|<f2>"];
a531[label="<f0>|<f1> 31|<f2>"];
a555[label="<f0>|<f1> 55|<f2>"];
a519[label="<f0>|<f1> 19|<f2>"];
a508[label="<f0>|<f1> 8|<f2>"];
a504[label="<f0>|<f1> 4|<f2>"];
a511[label="<f0>|<f1>11|<f2>"];
a520:f0->a510;
a510:f2->a515;
a510:f0->a508;
a508:f0->a504;
a515:f0->a511;
a520:f2->a531;
a531:f2->a555;
a515:f2->a519;
}
}
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:52, 4 May 2009 | | 700 × 386 (100 KB) | Dirk Hünniger (talk | contribs) | {{Information |Description={{en|1=An example of adding numbers into an AVL tree.}} |Source=Own work by uploader |Author=Dirk Hünniger |Date=4 May 2009 |Permission= |other_versions= }} <!--{{ImageUpload|full}}--> [[Category:AVL-tr |
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