Recognition of $$\boldsymbol{r}$$-Almost-Trees by Automata Traversing Graphs

The subject of the paper is an automaton that traverses connected plane simple undirected graphs in order to determine whether they are $$r$$ -almost-trees. The paper provides an algorithm and time estimates for establishing this property, as well as a description of the automaton under consideration.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2025-10-01
DOI
https://doi.org/10.3103/s0027132225700561
Primary Topic
semigroups and automata theory
Type
article
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article

Recognition of $$\boldsymbol{r}$$-Almost-Trees by Automata Traversing Graphs

A. A. Demidova
Moscow University Mathematics Bulletin
semigroups and automata theory
article

Recognition of $$\boldsymbol{r}$$-Almost-Trees by Automata Traversing Graphs

A. A. Demidova
article en

Abstract

The subject of the paper is an automaton that traverses connected plane simple undirected graphs in order to determine whether they are $$r$$ -almost-trees. The paper provides an algorithm and time estimates for establishing this property, as well as a description of the automaton under consideration.

Moscow University Mathematics BulletinVol. 80(5)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 24%
semigroups and automata theory
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Recognition of $\boldsymbol{r}$-Almost-Trees by Automata Traversing Graphs — A. A. Demidova · Moscow University Mathematics Bulletin (2025) | TGRS Research Map | TGRS