Tree isomorphism

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Motivation In some applications the chemical structures are often trees with millions of vertices: ∙ gene splicing, ∙ protein analysis, ∙ molecular biology. Difference between O(n), O(n log n), and O(n 2 ) <strong>isomorphism</strong> algorithms is not just theoretical importance. 2 / 22
Graph <strong>isomorphism</strong> Definition Isomorphism of graphs G1(V1, E1) and G2(V2, E2) is a bijection between the vertex sets
Page 1: Tree isomorphism Alexander Smal St.
Page 5 and 6: Graph isomorphism Definition Isomor
Page 7 and 8: Rooted trees Definition Rooted tree
Page 13 and 14: Rooted trees (part 2) Lemma If ther
Page 19 and 20: Diameter and center Definition The
Page 21 and 22: Diameter and center Definition The
Page 23 and 24: The idea Let’s try to find comple
Page 29 and 30: Candidate 1 Observation The level n
Page 31 and 32: Candidate 1 Observation The level n
Page 33 and 34: Candidate 2 What’s wrong with can
Page 35 and 36: Candidate 2 (part 2) Observation Si
Page 37 and 38: Candidate 3 Conjecture Two trees ar
Page 39 and 40: Candidate 3 Conjecture Two trees ar
Page 41 and 42: Algorithm by Aho, Hopcroft and Ullm
Page 43 and 44: Algorithm by Aho, Hopcroft and Ullm
Page 45 and 46: Understanding AHU algorithm Knuth t
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Understanding AHU algorithm Knuth t
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Understanding AHU algorithm Knuth t
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Understanding AHU algorithm (part 3
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AHU algorithm improvement Observati
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Example A B C AHU algorithm example
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Example A B C AHU algorithm example
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Example A AHU algorithm example B 1
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Example AHU algorithm example A 1 2
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Example A AHU algorithm example 1 a
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Tree isomorphism

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