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» The Chromatic Number Of Graph Powers
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FOCS
2008
IEEE
15 years 6 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»
14 years 12 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
ECAI
1994
Springer
15 years 3 months ago
Concept Language with Number Restrictions and Fixpoints, and its Relationship with Mu-calculus
Abstract. Many recent works point out that there are several possibilities of assigning a meaning to a concept definition containing some sort of recursion. In this paper, we argue...
Giuseppe De Giacomo, Maurizio Lenzerini
DM
2006
92views more  DM 2006»
14 years 12 months ago
Sums of powers of the degrees of a graph
For a graph G and k a real number, we consider the sum of the k-th powers of the degrees of the vertices of G. We present some general bounds on this sum for various values of k. ...
Sebastian M. Cioaba
JCT
2007
111views more  JCT 2007»
14 years 11 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