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» Euler characteristics and chromatic polynomials
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EJC
2007
13 years 4 months ago
Euler characteristics and chromatic polynomials
Given a graph we show how to construct a family of manifolds whose Euler characteristics are the values of the chromatic polynomial of the graph at various integers. The manifolds...
Michael Eastwood, Stephen Huggett
BSL
2000
153views more  BSL 2000»
13 years 4 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
EJC
2007
13 years 4 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman
RSA
2010
89views more  RSA 2010»
13 years 3 months ago
Some remarks on Betti numbers of random polygon spaces
Polygon spaces like Mℓ = {(u1, · · · , un) ∈ S1 × · · · S1 ; n i=1 liui = 0}/SO(2) or they three dimensional analogues Nℓ play an important rle in geometry and topolo...
Clément Dombry, Christian Mazza
JCT
2007
111views more  JCT 2007»
13 years 4 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