The　granular　structures　emphasize　a　multilevel　and　multiview　understanding　of　problems.　This　paper　focuses　on　a　study　of　how　to　granulate　a　graph,　and　how　to　extract　the　granular　structures　in　the　graph.　The　granular　structures　can　be　seen　as　an　abstract,　summary　or　epitome　of　the　graph.　Two　granular　structures　extraction　models　are　proposed,　one　is　based　on　the　degree　of　the　vertex,　the　other　is　based　on　the　weight　of　the　edge.　Each　model　is　a　multilevel　representation,　and　the　models　integrated　together　presents　a　multiview　comprehension　of　the　graph.　©　2011　Springer-Verlag.