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NEUTREEKO.NET

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jan kristian haugland

http://www.neutreeko.net/

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INTERNAL PAGES

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1

Grid subgraphs

http://www.neutreeko.net/grid.htm

By Jan Kristian Haugland. Dimensional grid is the unit-distance graph. Ge; 2 and 3 ≤ k. What is the maximal girth. Dimensional grid, and how many such subgraphs attain it (up to isometry. It is assumed throughout that the null graph. Is not a valid example of a k. One of the simplest possible ways to construct a k. Grid is to give k. 1) for the vertices ( x. If a subgraph thus constructed does not have any cycles. Of length 4, the girth. Must in fact be equal to 10. 3, 3) and (5, 4), girth. Is odd and k.

2

Miscellaneous mathematical musings

http://www.neutreeko.net/mmm.htm

By Jan Kristian Haugland. The regular 600-cell: Colourings and induced subgraphs. Induced components of the hexagonal grid with n. Out of 2 n. Largest polyomino with no four cells equally spaced on a straight line. Two conic sections and four circles. Evaluating the Fabius function. My Petersen graph tattoo. The regular 600-cell: Colourings and induced subgraphs. The graph of the regular 600-cell. Contains 120 vertices and is 5-colourable. Up to graph isomorphism. With 28 vertices and maximum degree.

3

D.Phil. thesis

http://www.neutreeko.net/dphil.htm

By Jan Kristian Haugland. Application of Sieve Methods to Prime Numbers. Pure mathematics (analytic number theory). University of Oxford, 1998. Both main results have since been improved upon by others; confer these papers:. Jia Chaohua and Ming-Chit Liu, On the largest prime factor of integers. Acta Arith. 95(2000), 17 48. Jie Wu, Chen's double sieve, Goldbach's conjecture and the twin prime problem. Acta Arith. 114(2004), 215 273.

4

Neutreeko

http://www.neutreeko.net/neutreeko.htm

By Jan Kristian Haugland. 169; 2001, 2002. Neutreeko is a simple game played on a board with 5×5 squares. I created it using elements from Neutron. The players have three pieces each. They are placed as shown in the figure. A piece slides orthogonally or diagonally until stopped by. An occupied square or the border of the board. Black always moves first. To get three in a row, orthogonally or diagonally. The row must be connected. A match is declared a draw if the same position occurs three times. Alread...

5

The game of Y

http://www.neutreeko.net/y.htm

Some material on the game of Y. By Jan Kristian Haugland. W/L opening moves for sizes.

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