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COMBINATORICS
2004
14 years 9 months ago
2004
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
COMBINATORICS
2000
14 years 9 months ago
2000
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
COMBINATORICS
2000
14 years 9 months ago
2000
Given a space endowed with symmetry, we define ms(, r) to be the maximum of m such that for any r-coloring of there exists a monochromatic symmetric set of size at least m. We c...
COMBINATORICS
2000
14 years 9 months ago
2000
A tournament sequence is an increasing sequence of positive integers (t1, t2, . . .) such that t1 = 1 and ti+1 2ti. A Meeussen sequence is an increasing sequence of positive inte...
COMBINATORICS
2000
14 years 9 months ago
2000
To each coherent configuration (scheme) C and positive integer m we associate a natural scheme C(m) on the m-fold Cartesian product of the point set of C having the same automorph...