\magnification=1200 \hsize=4in \overfullrule=0pt \input amssym %\def\frac2{{#1\over #2}} \def\emph#1{{\it #1}} \def\em{\it} \nopagenumbers \noindent % % {\bf Teresa Sousa} % % \medskip \noindent % % {\bf Decompositions of Graphs into 5-Cycles and Other Small Graphs} % % \vskip 5mm \noindent % % % % In this paper we consider the problem of finding the smallest number $q$ such that any graph $G$ of order $n$ admits a decomposition into edge disjoint copies of a fixed graph $H$ and single edges with at most $q$ elements. We solve the case when $H$ is the 5-cycle, the 5-cycle with a chord and any connected non-bipartite non-complete graph of order 4. \bye .