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» On the Quantum Chromatic Number of a Graph
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FOCS
2008
IEEE
14 years 2 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
DM
2008
112views more  DM 2008»
13 years 7 months ago
Orbit-counting polynomials for graphs and codes
We construct an "orbital Tutte polynomial" associated with a dual pair M and M of matrices over a principal ideal domain R and a group G of automorphisms of the row spac...
Peter J. Cameron, Bill Jackson, Jason D. Rudd
COCO
2000
Springer
65views Algorithms» more  COCO 2000»
13 years 12 months ago
On the Complexity of Quantum ACC
For any q > 1, let MODq be a quantum gate that determines if the number of 1’s in the input is divisible by q. We show that for any q, t > 1, MODq is equivalent to MODt (u...
Frederic Green, Steven Homer, Chris Pollett
JCT
2007
111views more  JCT 2007»
13 years 7 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
13 years 7 months ago
On the Genus Distribution of (p, q, n)-Dipoles
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...
Terry I. Visentin, Susana W. Wieler