COMBINATORICS
2004
13 years 4 months ago
2004
Consider natural numbers {1,
COMBINATORICS
2004
13 years 4 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 4 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 4 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 4 months ago
2004
COMBINATORICS
2004
13 years 4 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 4 months ago
2004
COMBINATORICS
2004
13 years 4 months ago
2004
We show that there exist binary circular 5/2+ power free words of every length.