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COMBINATORICS
1999
14 years 9 months ago
1999
A Steiner triple system has a bicoloring with m color classes if the points are partitioned into m subsets and the three points in every block are contained in exactly two of the ...
COMBINATORICS
1999
14 years 9 months ago
1999
Kasteleyn stated that the generating function of the perfect matchings of a graph of genus g may be written as a linear combination of 4g Pfaffians. Here we prove this statement. ...
COMBINATORICS
1999
14 years 9 months ago
1999
The parameters 2 - (2 + 2, + 1, ) are those of a residual Hadamard 2 (4 + 3, 2 + 1, ) design. All 2 - (2 + 2, + 1, ) designs with 4 are embeddable. The existence of non-embedd...
COMBINATORICS
2004
14 years 9 months ago
2004
A configuration (pq, nk) is a collection of p points and n straight lines in the Euclidean plane so that every point has q straight lines passing through it and every line has k p...
COMBINATORICS
2004
14 years 9 months ago
2004
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...