Independence on triangular triangle boards

Heiko Dietrich, Heiko Harborth

Research output: Contribution to journalArticleResearch

Abstract

Triangular parts of the Euclidean triangle tessellation of the plane are considered as gameboards Tn. Thirteen chess-like pieces are defined as in[1]. The independence number βn is the maximum number of non-attacking copies of a piece on Tn. For nine of the chess-like pieces βn is determined completely.
Original languageEnglish
Pages (from-to)73–87
Number of pages15
JournalAbhandlungen Braunschweigische Wissenschaftliche Gesellschaft
Volume54
Publication statusPublished - 2005
Externally publishedYes

Cite this

@article{e0f03abc0df449edac3811a16bc81bda,
title = "Independence on triangular triangle boards",
abstract = "Triangular parts of the Euclidean triangle tessellation of the plane are considered as gameboards Tn. Thirteen chess-like pieces are defined as in[1]. The independence number βn is the maximum number of non-attacking copies of a piece on Tn. For nine of the chess-like pieces βn is determined completely.",
author = "Heiko Dietrich and Heiko Harborth",
year = "2005",
language = "English",
volume = "54",
pages = "73–87",
journal = "Abhandlungen Braunschweigische Wissenschaftliche Gesellschaft",
issn = "0068-0737",

}

Independence on triangular triangle boards. / Dietrich, Heiko; Harborth, Heiko.

In: Abhandlungen Braunschweigische Wissenschaftliche Gesellschaft, Vol. 54, 2005, p. 73–87.

Research output: Contribution to journalArticleResearch

TY - JOUR

T1 - Independence on triangular triangle boards

AU - Dietrich, Heiko

AU - Harborth, Heiko

PY - 2005

Y1 - 2005

N2 - Triangular parts of the Euclidean triangle tessellation of the plane are considered as gameboards Tn. Thirteen chess-like pieces are defined as in[1]. The independence number βn is the maximum number of non-attacking copies of a piece on Tn. For nine of the chess-like pieces βn is determined completely.

AB - Triangular parts of the Euclidean triangle tessellation of the plane are considered as gameboards Tn. Thirteen chess-like pieces are defined as in[1]. The independence number βn is the maximum number of non-attacking copies of a piece on Tn. For nine of the chess-like pieces βn is determined completely.

M3 - Article

VL - 54

SP - 73

EP - 87

JO - Abhandlungen Braunschweigische Wissenschaftliche Gesellschaft

JF - Abhandlungen Braunschweigische Wissenschaftliche Gesellschaft

SN - 0068-0737

ER -