COMBINATORICS
2004
13 years 11 months ago
2004
Consider natural numbers {1,
COMBINATORICS
2004
13 years 11 months ago
2004
In this paper, we examine partitions classified according to the number r() of odd parts in and s() the number of odd parts in , the conjugate of . The generating function for ...
COMBINATORICS
2004
13 years 11 months ago
2004
When can a d-dimensional rectangular box R be tiled by translates of two given d-dimensional rectangular bricks B1 and B2? We prove that R can be tiled by translates of B1 and B2 ...
COMBINATORICS
2004
13 years 11 months ago
2004
We extend Schaeffer's bijection between rooted quadrangulations and welllabeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bi...
COMBINATORICS
2004
13 years 11 months ago
2004
COMBINATORICS
2004
13 years 11 months ago
2004
For every real p > 0 and simple graph G, set f (p, G) = uV (G) dp (u) , and let (r, p, n) be the maximum of f (p, G) taken over all Kr+1-free graphs G of order n. We prove tha...
COMBINATORICS
2004
13 years 11 months ago
2004
COMBINATORICS
2004
13 years 11 months ago
2004
We show that there exist binary circular 5/2+ power free words of every length.