Energy　efficiency　is　especially　important　to　the　broadcasting　operation　in　wireless　sensor　networks.　It　helps　to　reduce　the　energy　consumption　by　minimizing　the　number　of　relay　nodes　during　the　broadcast　process　in　case　that　the　transmission　range　is　identical　to　all　nodes　in　the　network.　In　this　paper,　we　have　introduced　an　efficient　heuristic　algorithm　EMCDS　to　build　the　Minimum　Connected　Dominating　Set　with　the　proposed　ordered　sequence　list.　The　simulation　results　show　that　the　proposed　EMCDS　algorithm　can　find　smaller　CDS　compared　with　related　works.　©　2013　IEEE.