Revisiting Tree Isomorphism: AHU Algorithm with Primes Numbers
F Ingels - arXiv preprint arXiv:2309.14441, 2023 - arxiv.org
The AHU algorithm has been the state of the art since the 1970s for determining in linear
time whether two unordered rooted trees are isomorphic or not. However, it has been …
time whether two unordered rooted trees are isomorphic or not. However, it has been …
Detection of common subtrees with identical label distribution
Frequent pattern mining is a relevant method to analyse structured data, like sequences,
trees or graphs. It consists in identifying characteristic substructures of a dataset. This paper …
trees or graphs. It consists in identifying characteristic substructures of a dataset. This paper …
Characterization of random walks on space of unordered trees using efficient metric simulation
The simple random walk on Z p shows two drastically different behaviors depending on the
value of p: it is recurrent when p∈{1, 2} while it escapes (with a rate increasing with p) as …
value of p: it is recurrent when p∈{1, 2} while it escapes (with a rate increasing with p) as …
On the similarities of trees: the interest of enumeration and compression methods
F Ingels - 2022 - theses.hal.science
Tree data appear naturally in many scientific domains. Their intrinsically non-Euclidean
nature and the combinatorial explosion phenomenon make their analysis delicate. In this …
nature and the combinatorial explosion phenomenon make their analysis delicate. In this …
Isomorphic unordered labeled trees up to substitution ciphering
Given two messages–as linear sequences of letters, it is immediate to determine whether
one can be transformed into the other by simple substitution cipher of the letters. On the …
one can be transformed into the other by simple substitution cipher of the letters. On the …
[HTML][HTML] Nearest embedded and embedding self-nested trees
R Azaïs - Algorithms, 2019 - mdpi.com
Self-nested trees present a systematic form of redundancy in their subtrees and thus achieve
optimal compression rates by directed acrylic graph (DAG) compression. A method for …
optimal compression rates by directed acrylic graph (DAG) compression. A method for …
[PDF][PDF] Revisiting Tree Isomorphism: An Algorithmic Bric-à-Brac
F Ingels - 2023 - hal.science
Abstract The Aho, Hopcroft and Ullman (AHU) algorithm has been the state of the art since
the 1970s for determining in linear time whether two unordered rooted trees are isomorphic …
the 1970s for determining in linear time whether two unordered rooted trees are isomorphic …
Lossless Compression of Semi-Ordered Trees
BN Farah - International Journal of Applied Research in …, 2022 - igi-global.com
In this paper, authors are interested in the problem of lossless compression of unlabeled
semi-ordered trees. Semi-ordered trees are a class of trees that present an order between …
semi-ordered trees. Semi-ordered trees are a class of trees that present an order between …
Maximum likelihood estimation for spinal-structured trees
R Azaïs, B Henry - arXiv preprint arXiv:2101.05099, 2021 - arxiv.org
We investigate some aspects of the problem of the estimation of birth distributions (BD) in
multi-type Galton-Watson (MGW) trees with unobserved types. More precisely, we consider …
multi-type Galton-Watson (MGW) trees with unobserved types. More precisely, we consider …