178 search results - page 21 / 36 » combinatorics 2007 |
COMBINATORICS
2007
13 years 11 months ago
2007
We introduce and develop a two-parameter chromatic symmetric function for a simple graph G over the field of rational functions in q and t , Q (q, t). We derive its expansion in ...
COMBINATORICS
2007
13 years 11 months ago
2007
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
COMBINATORICS
2007
13 years 11 months ago
2007
A closed knight’s tour of a chessboard uses legal moves of the knight to visit every square exactly once and return to its starting position. When the chessboard is translated i...
COMBINATORICS
2007
13 years 11 months ago
2007
Let λ be a partition, and denote by fλ the number of standard tableaux of shape λ. The asymptotic shape of λ maximizing fλ was determined in the classical work of Logan and S...
COMBINATORICS
2007
13 years 11 months ago
2007
There are many applications of the enumeration of maps in surfaces to other areas of mathematics and the physical sciences. In particular, in quantum field theory and string theo...