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JACM
2008
50views more  JACM 2008»
14 years 10 months ago
Homomorphism preservation theorems
Benjamin Rossman
PODS
2004
ACM
139views Database» more  PODS 2004»
15 years 10 months ago
On Preservation under Homomorphisms and Unions of Conjunctive Queries
Unions of conjunctive queries, also known as select-project-join-union queries, are the most frequently asked queries in relational database systems. These queries are definable b...
Albert Atserias, Anuj Dawar, Phokion G. Kolaitis
GC
2010
Springer
14 years 8 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
JSYML
2010
120views more  JSYML 2010»
14 years 4 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
JCT
2007
140views more  JCT 2007»
14 years 9 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr