  We propose a method to make a highly clustered complex network within the
configuration model. Using this method, we generated highly clustered random
regular networks and analyzed the properties of them. We show that highly
clustered random regular networks with appropriate parameters satisfy all the
conditions of the small-world network: connectedness, high clustering
coefficient, and small-world effect. We also study how clustering affects the
percolation threshold in random regular networks. In addition, the prisoner's
dilemma game is studied and the effects of clustering and degree heterogeneity
on the cooperation level are discussed.
