Characterization of Equimatchable Even-Regular Graphs
Characterization of Equimatchable Even-Regular Graphs
A graph is called equimatchable if all of its maximal matchings have the same size. Due to Eiben and Kotrbcik, any connected graph with odd order and independence number $\alpha(G)$ at most $2$ is equimatchable. Akbari et al. showed that for any odd number $r$, a connected equimatchable $r$-regular graph …