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116
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COMBINATORICS
2006
15 years 3 months ago
2006
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudolines in the projective plane. As a consequence, we find nine new infinite families...
112
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COMBINATORICS
2006
15 years 3 months ago
2006
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
98
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COMBINATORICS
2006
15 years 3 months ago
2006
Let m be a positive integer whose smallest prime divisor is denoted by p, and let Zm denote the cyclic group of residues modulo m. For a set B = {x1, x2, . . . , xm} of m integers...
118
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COMBINATORICS
2006
15 years 3 months ago
2006
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
116
Voted
COMBINATORICS
2006
15 years 3 months ago
2006
We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factor...