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JACM
2008
50views more  JACM 2008»
13 years 5 months ago
Homomorphism preservation theorems
Benjamin Rossman
PODS
2004
ACM
139views Database» more  PODS 2004»
14 years 5 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
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
JSYML
2010
120views more  JSYML 2010»
13 years 3 days 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»
13 years 5 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