"Az-buki" National Publishing House
Ministry of Education and Science
Wikipedia
  • Login
  • Registration
Pedagogika-Pedagogy
Няма резултати
Вижте всички резултати
  • Main Page
  • About the journal
  • Editorial Board Members
  • Contents
  • Guidelines
    • Guide for Authors
    • Reviewer's Guide
  • Publishing Ethics
  • Contact
  • Subscribe now
  • en_US
  • Main Page
  • About the journal
  • Editorial Board Members
  • Contents
  • Guidelines
    • Guide for Authors
    • Reviewer's Guide
  • Publishing Ethics
  • Contact
  • Subscribe now
  • en_US
Няма резултати
Вижте всички резултати
Pedagogika-Pedagogy
Няма резултати
Вижте всички резултати
Main Page Uncategorized

Algorithms for Construction and Enumeration of Closed Knight’s Paths

v.genkov@azbuki.bg от v.genkov@azbuki.bg
29-04-2023
in Uncategorized
A A

Prof. DSc. Stoyan Kapralov1), Assoc. Prof. Dr.Valentin Bakoev2),
Kaloyan Kapralov3)
1)University of Gabrovo (Bulgaria)
2)“St. Cyril and St. Methodius” University of Veliko Tarnovo (Bulgaria)
3)Sofia (Bulgaria)

https://doi.org/10.53656/math2023-2-1-alg

Abstract. Two algorithms for constructing all closed knight’s paths of lengths up to 16 are presented. An approach for classification (up to equivalence) of all such paths is considered. Two closed knight’s paths are called equivalent if one can be obtained from the other by applying one or more of the equivalences: translation, rotation, symmetry, or when the corresponding polygons (whose vertices are the cells visited by the knight), are geometrically congruent. By applying the construction algorithms and classification approach, we enumerate both nonequivalent and non-self-intersecting knight’s paths and show the obtained results. Some pedagogical aspects related to the problems under consideration and the teaching of subjects such as “Programming”, “Algorithms and Data Structures”, “Graph Algorithms” and “Competitive Programming” are also discussed.
Keywords: knight graph; closed knight’s path; nonequivalent path; non-self-intersecting path; equivalence; enumeration

Log in to read the full text Your Image Description

Свързани статии:

Default ThumbnailThe Values Of The Teachers For The Implementation Of Inclusive Education In Bulgaria Default ThumbnailInspection Of The Schools In Varna-Preslav Diocese / Varna Province In 70-S Of The Nineteenth Century Default ThumbnailA MONOGRAPH ON THE CRIMEAN WAR (1853 – 1856)AND THE BULGARIAN LANDS, PRESENTED THROUGH AN ORIGINAL FRENCH SOURCE FROM THE AGE Default Thumbnail75 Years of the World Organization OMEP: Preschool Education in Bulgaria in the Perspective of International Pedagogical Experience

Последвайте ни в социалните мрежи

Viber
shareTweet
Previous article

15 двойки пеликани гнездят в резервата „Сребърна“

Next article

Constructing the Common Perpendicular of Two Skew Lines

Next article

Constructing the Common Perpendicular of Two Skew Lines

Dual form of Obtaining Education in the Mathematics Teachers Training System: Employers‘ Position

The Algorithmic Tasks from the State Graduation Examination in the Profiling Subject of Informatics for 2022

Последни публикации

  • Сп. „Педагогика“, книжка 3/2025, година XCVII
  • Сп. „Педагогика“, книжка 2/2025, година XCVII
  • Сп. „Педагогика“, книжка 1/2025, година XCVII
  • Сп. „Педагогика“, книжка 1s – Special Issue / 2025, година XCVII
  • ГОДИШНО СЪДЪРЖАНИЕ НА СП.ПЕДАГОГИКА , ГОДИНА XCVI, 2024
  • Pedagogy, Number 9/2024, Volume 96
  • Pedagogy, Number 9s/2024, Volume 96
  • Pedagogy, Number 8/2024, Volume 96
  • Pedagogy, Number 7/2024, Volume 96
  • Pedagogy, Number 6/2024, Volume 96
  • Pedagogy, Number 5s/2024, Volume 96
  • Pedagogy, Number 5/2024, Volume 96
  • Pedagogy, Number 4/2024, Volume 96
  • Pedagogy, Number 3s/2024, Volume 96
  • Pedagogy, Number 3/2024, Volume 96
  • Pedagogy, Number 2s/2024, Volume 96
  • Pedagogy, Number 2/2024, Volume 96
  • Pedagogy, Number 1s/2024, Volume 96
  • Сп. „Педагогика“, книжка 1/2024, година XCVI
  • Annual contents
  • Сп. „Педагогика“, книжка 9/2023, година XCV
  • Pedagogy, Number 8/2023, Volume 95

София 1113, бул. “Цариградско шосе” № 125, бл. 5

+0700 18466

izdatelstvo.mon@azbuki.bg
azbuki@mon.bg

Полезни линкове

  • Къде можете да намерите изданията?
  • Вход за абонати
  • Main Page
  • Contact
  • Subscribe now
  • Projects
  • Advertising

Az-buki Weekly

  • Вестник “Аз-буки”
  • Subscribe now
  • Archive

Scientific Journals

  • Strategies for Policy in Science and Education
  • Bulgarian Language and Literature
  • Pedagogika-Pedagogy
  • Mathematics and Informatics
  • Natural Science and Advanced Technology Education
  • Vocational Education
  • Istoriya-History journal
  • Chuzhdoezikovo Obuchenie-Foreign Language Teaching
  • Filosofiya-Philosophy

Newsletter

  • Accsess to public information
  • Условия за ползване
  • Профил на купувача

© 2012-2025 Национално издателство "Аз-буки"

Welcome Back!

Login to your account below

Forgotten Password? Sign Up

Create New Account!

Fill the forms bellow to register

All fields are required. Log In

Retrieve your password

Please enter your username or email address to reset your password.

Log In
en_US
bg_BG en_US
  • Login
  • Sign Up
Няма резултати
Вижте всички резултати
  • Main Page
  • About the journal
  • Editorial Board Members
  • Contents
  • Guidelines
    • Guide for Authors
    • Reviewer's Guide
  • Publishing Ethics
  • Contact
  • Subscribe now
  • en_US

© 2012-2025 Национално издателство "Аз-буки"