Domination in Isosceles Triangular Chessboard

In this article, we are interested in the domination problem in isosceles triangular chessboard. In our study we take in account one type of piece of rooks, bishops and kings, and two different types of pieces together, kings with rooks, kings with bishops and rooks with bishops. The chessboard in this work is isosceles triangular with square cells. Also in most cases we determine the possible number of different methods of domination (total solution). Keywords: domination, Isosceles triangle chessboard, Kings, Bishops and Rooks

On the Domination Chain of m by n Chess Graphs

A survey of the six domination chain parameters for both square and rectangular chess boards are discussed

The maximum queen’s problem with pawns

The classic n-queens problem asks for placements of just n mutually non-attacking queens on an n × n board. By adding enough pawns, we can arrange to fill roughly one-quarter of the board with mutually non-attacking queens. How many pawns do we need? We discuss that question for square boards as well as rectangular m × n boards

Abstractions and Analyses of Grid Games

In this paper, we define various combinatorial games derived from the NQueens Puzzle and scrutinize them, particularly the Knights Game, using combinatorial game theory and graph theory. The major result of the paper is an original method for determining who wins the Knights Game merely from the board\u27s dimensions. We also inspect the Knights Game\u27s structural similarities to the Knight\u27s Tour and the Bishops Game, and provide some historical background and real-world applications of the material

2009 - The Fourteenth Annual Symposium of Student Scholars

The full program book from the Fourteenth Annual Symposium of Student Scholars, held on April 13, 2009. Includes abstracts from the presentations and posters.https://digitalcommons.kennesaw.edu/sssprograms/1008/thumbnail.jp

Annual Report of the Board of Regents of the Smithsonian Institution, showing the operations, expenditures, and condition of the Institution to July, 1894.

Annual Report of the Smithsonian Institution. 1 July. HMD 90 (pts. 1 and 2) 53-3, v15-16. 1866p. [3341-3342] Research related to the American Indian