@article {IOPORT.05960024, author = {Wang, Guanghui}, title = {Rainbow matchings in properly edge colored graphs.}, year = {2011}, journal = {The Electronic Journal of Combinatorics [electronic only]}, volume = {18}, number = {1}, issn = {1077-8926}, pages = {Research Paper P162, 7 p., electronic only}, publisher = {Prof. Andr\'e K\"undgen, Deptartment of Mathematics, California State University San Marcos, San Marcos, CA}, abstract = {Summary: Let $G$ be a properly edge colored graph. A rainbow matching of $G$ is a matching in which no two edges have the same color. Let $\delta $ denote the minimum degree of $G$. We show that if $|V (G)| \geq \frac{8\delta}{5} $, then $G$ has a rainbow matching of size at least $\lfloor \frac{3\delta}{5} \rfloor $. We also prove that if $G$ is a properly colored triangle-free graph, then $G$ has a rainbow matching of size at least $\lfloor \frac{2\delta }{3}\rfloor $.}, identifier = {05960024}, }