2 papers
cs.CC2016
An Improved Homomorphism Preservation Theorem From Lower Bounds in Circuit Complexity
Benjamin Rossman
Previous work of the author [39] showed that the Homomorphism Preservation Theorem of classical model theory remains valid when its statement is restricted to finite structures. In…
math.CO2010
The Homomorphism Domination Exponent
Swastik Kopparty, Benjamin Rossman
We initiate a study of the homomorphism domination exponent of a pair of graphs F and G, defined as the maximum real number c such that |Hom(F,T)| \geq |Hom(G,T)|^c for every graph…