Tree isomorphism

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Candidate 3 Conjecture Two trees are isomorphic if and only if they have the same degree spectrum at each level. If two trees have the same degree spectrum at each level, then they must automatically have the same number of levels, the same number of vertices at each level, and the same global degree spectrum! 11 / 22
Candidate 3 Conjecture Two trees are isomorphic if and only if they have the same degree spectrum at each level. If two trees have the same degree spectrum at each level, then they must automatically have the same number of levels, the same number of vertices at each level, and the same global degree spectrum! Observation The number of leaf descendants of a vertex and the level number of a vertex are both tree <strong>isomorphism</strong> invariants. 11 / 22
Page 1 and 2: Tree isomorphism Alexander Smal St.
Page 3 and 4: Graph isomorphism Definition Isomor
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: 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
Page 57 and 58: Understanding AHU algorithm (part 3
Page 67 and 68: AHU algorithm improvement Observati
Page 73 and 74: Example A B C AHU algorithm example
Page 75 and 76: Example A B C AHU algorithm example
Page 77 and 78: Example A AHU algorithm example B 1
Page 79 and 80: Example AHU algorithm example A 1 2
Page 81 and 82: Example A AHU algorithm example 1 a
Page 83 and 84: Resume Resume ∙ We have made thre

Tree isomorphism

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