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» Polynomial graph invariants from homomorphism numbers
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GC
2010
Springer
13 years 3 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
FOCS
2003
IEEE
13 years 10 months ago
The Complexity of Homomorphism and Constraint Satisfaction Problems Seen from the Other Side
We give a complexity theoretic classification of homomorphism problems for graphs and, more generally, relational structures obtained by restricting the left hand side structure ...
Martin Grohe
IPL
2008
169views more  IPL 2008»
13 years 4 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
IPL
2006
153views more  IPL 2006»
13 years 4 months ago
Oriented vertex and arc colorings of outerplanar graphs
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping from V (G) to V (H), that is (x)(y) is an arc in H whenever xy is an arc in G. The orie...
Alexandre Pinlou, Eric Sopena
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 3 months ago
The Dichotomy of List Homomorphisms for Digraphs
The Dichotomy Conjecture for Constraint Satisfaction Problems has been verified for conservative problems (or, equivalently, for list homomorphism problems) by Andrei Bulatov. An ...
Pavol Hell, Arash Rafiey