Given a graph $G$, we consider the problem of finding the largest set
of edge-disjoint triangles contained in $G$. We show that even the
simpler case of decomposing the edges of
a sparse split graph $G$ into edge-disjoint triangles
is NP-complete. We show next that the case of a general ...
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This note refers to the effect of the proximity parameter on the operation of (standard) property testers. Its bottom-line is that, except in pathological cases, the effect of the proximity parameter is restricted to determining the query complexity of the tester. The point is that, in non-pathological cases, the mapping ... more >>>
We develop a new notion called {\it tester of a class $\cM$ of
functions} $f:\cA\to \cC$ that maps the elements $\bfa\in \cA$ in
the domain $\cA$ of the function to a finite number (the size of
the tester) of elements $\bfb_1,\ldots,\bfb_t$ in a smaller
sub-domain $\cB\subset \cA$ where the property ...
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