2 citations · 4 across the 10 of their papers we have counts for
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Regular grid subgraphs of maximal girth
Jan Kristian Haugland
The unit-distance graph on the -dimensional integer lattice is called the -dimensional grid. We attempt to maximize the girth of a -regular (possibly induce…
Largest polyomino with no four cells equally spaced on a straight line
Jan Kristian Haugland
The maximal number of cells in a polyomino with no four cells equally spaced on a straight line is determined to be 142. This is based on several partial results, each of which can…
The minimum overlap problem revisited
Jan Kristian Haugland
For a given partition of (1, 2, ..., 2n) into two disjoint subsets A and B with n elements in each, consider the maximum number of times any integer occurs as the difference betwee…
Evaluating the Fabius function
Jan Kristian Haugland
The Thue-Morse sequence (1, -1, -1, 1, -1, 1, 1, ...) can in a sense be naturally extended to a continuous function f called the Fabius function. It is shown how to determine the e…